Edit Profile (opens in new tab) Marmo, Giuseppe Co-Author Distance Author ID: marmo.giuseppe Published as: Marmo, G.; Marmo, Giuseppe External Links: MGP · Math-Net.Ru · dblp · GND Documents Indexed: 284 Publications since 1973, including 10 Books 15 Contributions as Editor Biographic References: 1 Publication Co-Authors: 151 Co-Authors with 290 Joint Publications 2,235 Co-Co-Authors all top 5 Co-Authors 8 single-authored 51 Ibort, Alberto 51 Man’ko, Vladimir Ivanovich 42 Simoni, Alberto 36 Ventriglia, Franco 31 Ciaglia, Florio Maria 31 Grabowski, Janusz 24 Cariñena, José F. 24 Di Cosmo, Fabio 20 Sudarshan, E. C. George 18 Zaccaria, Francesco 17 Balachandran, Aiyalam P. 16 Facchi, Paolo 16 Vilasi, Gaetano 15 Morandi, Giuseppe 12 Asorey, Manuel 12 Pascazio, Saverio 12 Stornaiolo, Cosimo 12 Vitale, Patrizia 11 Kuś, Marek 10 Clemente-Gallardo, Jesús 10 Schiavone, Luca 9 Aniello, Paolo 9 Ercolessi, Elisa 9 Mukunda, Narasimhaiengar 9 Zampini, Alessandro 8 Landi, Giovanni 7 Chruściński, Dariusz 7 Esposito, Giampiero 7 Kossakowski, Andrzej 6 Bimonte, Giuseppe 6 Chaturvedi, Subhash 6 Gerdzhikov, Vladimir Stefanov 6 Kyuldjiev, Assen V. 6 Lizzi, Fedele 6 Pérez-Pardo, Juan Manuel 6 Rubano, Claudio 6 Sparano, Giovanni 6 Tulczyjew, Włodzimierz Marek 5 Gràcia, Xavier 5 Man’ko, Olga V. 5 Martínez Fernández, Eduardo 5 Michor, Peter Wolfram 5 Muñoz-Lecanda, Miguel C. 5 Perelomov, Askold M. 4 de León Rodríguez, Manuel 4 Laudato, Marco 4 Román-Roy, Narciso 4 Scolarici, Giuseppe 4 Volkert, Georg Friedrich 3 Alekseevskiĭ, Dmitriĭ Vladimirovich 3 Capozziello, Salvatore 3 Daughton, Austin 3 De Filippo, Sergio 3 de Ritis, Ruggiero 3 Ferrario, Carlo 3 Figueroa, Armando 3 Grabowska, Katarzyna 3 Guerrero, Julio 3 Lo Vecchio, G. 3 Martone, Mario 3 Mendella, Giovanna 3 Pepe, Francesco V. 3 Scudellaro, Paolo 3 Sorkin, Rafael Dolnick 3 Sudarshan, George 3 Vaidya, Sachindeo 2 Benenti, Sergio 2 Castaños, Octavio 2 D’Avanzo, Antonella 2 Dubrovin, Boris Anatol’evich 2 Felice, Domenico 2 Ferro, Leonardo 2 Gaeta, Giuseppe 2 Garnero, Giancarlo 2 Jover-Galtier, J. A. 2 Maggi, Rocco 2 Mancini, Stefano 2 Martín de Diego, David 2 Mele, Fabio M. 2 Preziosi, Bruno 2 Rañada, Manuel F. 2 Samuel, Joseph 2 Skagerstam, Bo-Sture K. 2 Solimeno, S. 2 Tempesta, Piergiulio 2 Urbański, Paweł 2 Vinogradov, Aleksandr Mikhaĭlovich 1 Agrotis, Maria A. 1 Aldaya, Victor 1 Alipour, Sahar 1 Angelone, Giuliano 1 Anzà, Fabio 1 Bambusi, Dario 1 Bregola, Mauro 1 Carrasco, José A. 1 Cianci, Roberto 1 Cicogna, Giampaolo 1 Colomo, Filippo 1 Cruz-Prado, H. 1 Damianou, Pantelis Andrea ...and 51 more Co-Authors all top 5 Serials 25 International Journal of Geometric Methods in Modern Physics 24 Journal of Physics A: Mathematical and General 23 Journal of Physics A: Mathematical and Theoretical 21 Physics Letters. A 19 International Journal of Modern Physics A 17 Modern Physics Letters A 17 Open Systems & Information Dynamics 12 Journal of Mathematical Physics 12 Physica Scripta 10 Reports on Mathematical Physics 9 Annals of Physics 8 Journal of Geometry and Physics 6 General Relativity and Gravitation 5 Rendiconti del Seminario Matematico 3 Theoretical and Mathematical Physics 3 Journal of High Energy Physics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Nuclear Physics. B. Proceedings Supplements 2 International Journal of Quantum Information 2 Journal of Geometric Mechanics 2 Monographs and Textbooks in Physical Science. Lecture Notes 1 Classical and Quantum Gravity 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Physics Letters. B 1 Physics Reports 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Note di Matematica 1 Acta Applicandae Mathematicae 1 Differential Geometry and its Applications 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 International Journal of Modern Physics D 1 The Journal of Fourier Analysis and Applications 1 Acta Physica Polonica B 1 Quantum Information Processing 1 Journal of Geometry and Symmetry in Physics 1 The European Physical Journal C. Particles and Fields 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Banach Center Publications 1 Lecture Notes in Physics 1 Springer Proceedings in Physics 1 AIP Conference Proceedings 1 Information Geometry all top 5 Fields 190 Quantum theory (81-XX) 72 Dynamical systems and ergodic theory (37-XX) 72 Differential geometry (53-XX) 68 Mechanics of particles and systems (70-XX) 27 Nonassociative rings and algebras (17-XX) 24 Relativity and gravitational theory (83-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Topological groups, Lie groups (22-XX) 20 Partial differential equations (35-XX) 19 Functional analysis (46-XX) 15 General and overarching topics; collections (00-XX) 14 Group theory and generalizations (20-XX) 11 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Information and communication theory, circuits (94-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 233 Publications have been cited 1,873 times in 1,147 Documents Cited by ▼ Year ▼ The inverse problem in the calculus of variations and the geometry of the tangent bundle. Zbl 1211.58008Morandi, G.; Ferrario, C.; Lo Vecchio, G.; Marmo, G.; Rubano, C. 68 1990 Dynamical systems. A differential geometric approach to symmetry and reduction. Zbl 0592.58031Marmo, Giuseppe; Saletan, Eugen J.; Simoni, Alberto; Vitale, Bruno 59 1985 Bihamiltonian structures and Stäckel separability. Zbl 0952.37028Ibort, A.; Magri, F.; Marmo, G. 46 2000 Classical topology and quantum states. Zbl 0754.53058Balachandran, A. P.; Marmo, G.; Skagerstam, B. S.; Stern, A. 45 1991 Geometric Hamilton-Jacobi theory. Zbl 1158.70007Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 44 2006 An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 42 2009 Lie-Scheffers systems: a geometric approach. Zbl 1221.34025Cariñena, J. F.; Grabowski, J.; Marmo, G. 41 2000 Geometry of quantum systems: density states and entanglement. Zbl 1085.81017Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 36 2005 Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 34 2007 Gauge symmetries and fibre bundles. Applications to particle dynamics. Zbl 0525.53065Balachandran, A. P.; Marmo, G.; Skagerstam, B.-S.; Stern, A. 33 1983 Poisson structures: Towards a classification. Zbl 1020.37529Grabowski, J.; Marmo, G.; Perelomov, A. M. 33 1993 Global theory of quantum boundary conditions and topology change. Zbl 1134.58302Asorey, M.; Ibort, A.; Marmo, G. 32 2005 The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126Marmo, G.; Vilasi, G.; Vinogradov, A. M. 32 1998 Jacobi structure revisited. Zbl 0998.53054Grabowski, Janusz; Marmo, Giuseppe 32 2001 Quantum bi-Hamiltonian systems. Zbl 1002.81026Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 30 2000 Geometry from dynamics, classical and quantum. Zbl 1364.81001Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe 30 2015 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 30 2010 Quantum Zeno dynamics. Zbl 1115.81304Facchi, P.; Gorini, V.; Marmo, G.; Pascazio, S.; Sudarshan, E. C. G. 29 2000 The graded Jacobi algebras and (co)homology. Zbl 1039.53090Grabowski, Janusz; Marmo, Giuseppe 28 2003 On Filippov algebroids and multiplicative Nambu-Poisson structures. Zbl 1026.17006Grabowski, J.; Marmo, G. 25 2000 Physical nonlinear aspects of classical and quantum \(q\)-oscillators. Zbl 0984.81508Man’ko, V. I.; Marmo, G.; Solimeno, S.; Zaccaria, F. 21 1993 Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013Facchi, Paolo; Kulkarni, Ravi; Man’ko, V. I.; Marmo, Giuseppe; Sudarshan, E. C. G.; Ventriglia, Franco 21 2010 The nonlinear superposition principle and the Wei-Norman method. Zbl 0928.34025Cariñena, J. F.; Marmo, G.; Nasarre, J. 20 1998 Alternative commutation relations, star products and tomography. Zbl 1041.81080Man’ko, Olga V.; Man’ko, V. I.; Marmo, G. 18 2002 Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 17 2004 Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. 17 1998 Contact manifolds and dissipation, classical and quantum. Zbl 1404.81146Ciaglia, F. M.; Cruz, H.; Marmo, G. 17 2018 A gentle introduction to Schwinger’s formulation of quantum mechanics: the groupoid picture. Zbl 1391.81016Ciaglia, F. M.; Ibort, A.; Marmo, G. 16 2018 Symmetries, group actions, and entanglement. Zbl 1110.81044Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 16 2006 Geometrization of quantum mechanics. Zbl 1134.81386Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G. 16 2007 A generalization of the Jordan-Schwinger map: The classical version and its \(q\) deformation. Zbl 0988.17500Man’ko, V. I.; Marmo, G.; Vitale, P.; Zaccaria, F. 16 1994 Noether symmetries in Bianchi universes. Zbl 0936.83048Capozziello, S.; Marmo, G.; Rubano, C.; Scudellaro, P. 16 1997 Homology and modular classes of Lie algebroids. Zbl 1141.17018Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W. 15 2006 Constrained Hamiltonian systems as implicit differential equations. Zbl 0922.58025Marmo, Giuseppe; Mendella, Giovanna; Tulczyjew, Włodzimierz M. 15 1997 Equations of motion as constraints: superselection rules, Ward identities. Zbl 1377.83023Asorey, M.; Balachandran, A. P.; Lizzi, F.; Marmo, G. 13 2017 Wigner-Weyl correspondence in quantum mechanics for continuous and discrete systems – a Dirac-inspired view. Zbl 1088.81068Chaturvedi, S.; Ercolessi, E.; Marmo, G.; Morandi, G.; Mukunda, N.; Simon, R. 13 2006 From classical to quantum mechanics. An introduction to the formalism, foundations and applications. Zbl 1086.81001Esposito, Giampiero; Marmo, Giuseppe; Sudarshan, George 13 2004 Higher-order differential operators on a Lie group and quantization. Zbl 1073.81621Aldaya, V.; Guerrero, J.; Marmo, G. 13 1997 Remarks on Nambu-Poisson and Nambu-Jacobi brackets. Zbl 0949.37034Grabowski, J.; Marmo, G. 13 1999 Integrability of implicit differential equations. Zbl 0852.58049Mendella, Giovanna; Marmo, Giuseppe; Tulczyjew, Włodzimierz M. 13 1995 Differential geometry of density states. Zbl 1138.81336Man’ko, V. I.; Marmo, G.; Zaccaria, F.; Sudarshan, E. C. G. 12 2005 Reduction and unfolding for quantum systems: the hydrogen atom. Zbl 1080.81008D’Avanzo, Antonella; Marmo, Giuseppe; Valentino, Alessandro 12 2005 Relations between quantum maps and quantum states. Zbl 1084.81014Asorey, M.; Kossakowski, A.; Marmo, G.; Sudarshan, E. C. G. 12 2005 Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 12 2001 Recursion operators: Meaning and existence for completely integrable systems. Zbl 0801.58020Landi, G.; Marmo, G.; Vilasi, G. 12 1994 Topology change and quantum physics. Zbl 1009.83505Balachandran, A. P.; Bimonte, G.; Marmo, G.; Simoni, A. 12 1995 Schwinger’s picture of quantum mechanics I: groupoids. Zbl 1421.81049Ciaglia, F. M.; Ibort, A.; Marmo, G. 12 2019 The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators. Zbl 1331.58021Asorey, M.; Ibort, A.; Marmo, G. 11 2015 Noncommutative differential calculus for Moyal subalgebras. Zbl 1100.46044Marmo, G.; Vitale, P.; Zampini, A. 11 2006 A general setting for reduction of dynamical systems. Zbl 0419.58016Marmo, G.; Saletan, E. J.; Simoni, A. 11 1979 The inverse problem in the Hamiltonian formalism: Integrability of linear Hamiltonian fields. Zbl 0783.35053Giordano, M.; Marmo, G.; Rubano, C. 11 1993 Star products, duality and double Lie algebras. Zbl 1236.81140Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia 10 2006 Inverse problem in classical mechanics: Dissipative systems. Zbl 0573.70014de Ritis, R.; Marmo, G.; Platania, G.; Scudellaro, P. 10 1983 Phase space distributions and a duality symmetry for star products. Zbl 1123.53302Man’ko, V. I.; Marmo, G.; Vitale, P. 10 2005 Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F. 10 2002 On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A. 10 1994 Hamilton-Jacobi approach to potential functions in information geometry. Zbl 1415.70035Ciaglia, Florio M.; Di Cosmo, Fabio; Felice, Domenico; Mancini, Stefano; Marmo, Giuseppe; Pérez-Pardo, Juan M. 10 2017 Normal forms, symmetry and linearization of dynamical systems. Zbl 0969.34031Bambusi, Dario; Cicogna, Giampaolo; Gaeta, Giuseppe; Marmo, Giuseppe 10 1998 Geometry of mixed states and degeneracy structure of geometric phases for multi-level quantum systems. A unitary group approach. Zbl 1026.81019Ercolessi, E.; Marmo, G.; Morandi, G.; Mukunda, N. 10 2001 Alternative Hamiltonian description for quantum systems. Zbl 1020.81606Dubrovin, B. A.; Marmo, G.; Simoni, A. 9 1990 Reduction of Jacobi manifolds. Zbl 0949.53048Ibort, A.; de Léon, M.; Marmo, G. 9 1997 Basics of quantum mechanics, geometrization and some applications to quantum information. Zbl 1155.81025Clemente-Gallardo, Jesús; Marmo, Giuseppe 9 2008 Geometric phase for mixed states: a differential geometric approach. Zbl 1191.81123Chaturvedi, S.; Ercolessi, E.; Marmo, G.; Morandi, G.; Mukunda, N.; Simon, R. 9 2004 Reduction and unfolding: The Kepler problem. Zbl 1170.70318D’Avanzo, Antonella; Marmo, Giuseppe 8 2005 A quantum particle in a box with moving walls. Zbl 1275.81032Di Martino, Sara; Anzà, Fabio; Facchi, Paolo; Kossakowski, Andrzej; Marmo, Giuseppe; Messina, Antonino; Militello, Benedetto; Pascazio, Saverio 8 2013 Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041Man’ko, Vladimir I.; Marmo, Giuseppe; Ventriglia, Franco; Vitale, Patrizia 8 2017 Alternative structures and bi-Hamiltonian systems. Zbl 1040.37058Marmo, G.; Morandi, G.; Simoni, A.; Ventriglia, F. 8 2002 Poisson structures on double Lie groups. Zbl 1020.17016Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 8 1998 Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions. Zbl 0822.58016Alekseevsky, D.; Grabowski, J.; Marmo, G.; Michor, P. W. 8 1994 Particle dynamics on fiber bundles. Zbl 0704.53057Marmo, G.; Rubano, C. 8 1988 Symmetries and constants of the motion for dynamics in implicit form. Zbl 0766.58020Marmo, G.; Mendella, G.; Tulczyjew, W. M. 8 1992 Non-holonomic constrained systems as implicit differential equations. Zbl 0928.70031Ibort, Alberto; de León, Manuel; Marmo, G.; Martín de Diego, David 8 1996 Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 8 2011 Wigner-Weyl isomorphism for quantum mechanics on Lie groups. Zbl 1076.81026Mukunda, N.; Marmo, G.; Zampini, A.; Chaturvedi, S.; Simon, R. 7 2005 Moving walls and geometric phases. Zbl 1380.81143Facchi, Paolo; Garnero, Giancarlo; Marmo, Giuseppe; Samuel, Joseph 7 2016 Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 7 2001 On the tomographic picture of quantum mechanics. Zbl 1237.81043Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 7 2010 Star-product in the presence of a monopole. Zbl 1238.81150Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia 7 2010 Dynamics of interacting classical and quantum systems. Zbl 1243.82043Chruściński, Dariusz; Kossakowski, Andrzej; Marmo, Giuseppe; Sudarshan, E. C. G. 7 2011 Reduction procedures in classical and quantum mechanics. Zbl 1138.70011Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe 6 2007 Dynamical aspects in the quantizer-dequantizer formalism. Zbl 1372.81064Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. 6 2017 Algebraic differential calculus for gauge theories. Zbl 1051.81624Landi, G.; Marmo, G. 6 1990 Peierls brackets in field theory. Zbl 1037.81054Bimonte, G.; Esposito, G.; Marmo, G.; Stornaiolo, C. 6 2003 A class of commutative dynamics of open quantum systems. Zbl 1213.81160Chruściński, Dariusz; Kossakowski, Andrzej; Aniello, Paolo; Marmo, Giuseppe; Ventriglia, Franco 6 2010 Non-antisymmetric versions of Nambu-Poisson and algebroid brackets. Zbl 1021.53059Grabowski, Janusz; Marmo, Giuseppe 6 2001 Bihamiltonian quantum systems and Weyl quantization. Zbl 1040.81048Marmo, G.; Simoni, A.; Ventriglia, Franco 6 2001 Spin-statistics theorems without relativity or field theory. Zbl 0984.81505Balachandran, A. P.; Daughton, A.; Gu, Z.-C.; Sorkin, R. D.; Marmo, G. 6 1993 Poisson brackets on presymplectic manifolds. Zbl 0984.37500Dubrovin, B. A.; Giordano, M.; Marmo, G.; Simoni, A. 6 1993 A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family. Zbl 1394.81053Ciaglia, Florio M.; Di Cosmo, F.; Laudato, M.; Marmo, G.; Mele, Fabio M.; Ventriglia, F.; Vitale, Patrizia 6 2018 A pedagogical presentation of a \(C^\ast\)-algebraic approach to quantum tomography. Zbl 1263.81103Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 6 2011 Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144Man’ko, V. I.; Marmo, G.; Porzio, A.; Solimeno, S.; Ventriglia, F. 6 2011 Brownian motion on Lie groups and open quantum systems. Zbl 1202.81127Aniello, P.; Kossakowski, A.; Marmo, G.; Ventriglia, F. 6 2010 Boundary dynamics driven entanglement. Zbl 1298.81016Ibort, A.; Marmo, G.; Pérez-Pardo, J. M. 5 2014 Dynamical vector fields on the manifold of quantum states. Zbl 1377.81082Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Laudato, M.; Marmo, G. 5 2017 Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125Aniello, P.; Man’ko, V. I.; Marmo, G. 5 2008 A separability theorem for dynamical systems admitting alternative Lagrangian descriptions. Zbl 0663.58011Ferrario, C.; Lo Vecchio, G.; Marmo, G.; Morandi, G.; Rubano, C. 5 1987 A topological spin-statistics theorem or a use of the antiparticle. Zbl 1020.81676Balachandran, A. P.; Daughton, A.; Gu, Z.-C.; Marmo, G.; Sorkin, R. D. 5 1990 A generalized Wigner function on the space of irreducible representations of the Weyl-Heisenberg group and its transformation properties. Zbl 1161.81393Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 5 2009 Positive maps of density matrix and a tomographic criterion of entanglement. Zbl 1138.81335Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 5 2004 Binary operations in classical and quantum mechanics. Zbl 1068.17009Grabowski, Janusz; Marmo, Giuseppe 5 2003 Quantum tomography and Schwinger’s picture of quantum mechanics. Zbl 1507.81033Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. 2 2022 A quantum route to the classical Lagrangian formalism. Zbl 1467.81011Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L.; Zampini, A. 4 2021 Feynman’s propagator in Schwinger’s picture of quantum mechanics. Zbl 1489.81032Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L.; Zampini, A. 3 2021 Schwinger’s picture of quantum mechanics: 2-groupoids and symmetries. Zbl 1484.81053Ciaglia, Florio M.; Cosmo, Fabio Di; Ibort, Alberto; Marmo, Giuseppe; Schiavone, Luca 1 2021 Lagrangian description of Heisenberg and Landau-von Neumann equations of motion. Zbl 1439.81008Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L.; Zampini, A. 2 2020 Information geometry on groupoids: the case of singular metrics. Zbl 1480.81018Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 2 2020 Covariant variational evolution and Jacobi brackets: particles. Zbl 1443.70043Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L. 1 2020 Covariant variational evolution and Jacobi brackets: fields. Zbl 1443.70059Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L. 1 2020 Schwinger’s picture of quantum mechanics I: groupoids. Zbl 1421.81049Ciaglia, F. M.; Ibort, A.; Marmo, G. 12 2019 Generalized potential functions in differential geometry and information geometry. Zbl 1423.53038Ciaglia, F. M.; Marmo, G.; Pérez-Pardo, J. M. 4 2019 Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces. Zbl 1420.46050Marmo, Giuseppe; Vitale, Patrizia; Zampini, Alessandro 3 2019 Stratified manifold of quantum states, actions of the complex special linear group. Zbl 1415.81013Chruściński, D.; Ciaglia, F. M.; Ibort, A.; Marmo, G.; Ventriglia, F. 3 2019 Manifolds of classical probability distributions and quantum density operators in infinite dimensions. Zbl 1444.46054Ciaglia, F. M.; Ibort, A.; Jost, J.; Marmo, G. 3 2019 Lie groupoids in information geometry. Zbl 1509.53017Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 3 2019 Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system. Zbl 1428.37054Ibort, A.; Marmo, G.; Rodríguez, M. A.; Tempesta, P. 1 2019 Nonlinear dynamics from linear quantum evolutions. Zbl 1429.81026Ciaglia, F. M.; Di Cosmo, F.; Figueroa, Armando; Man’ko, V. I.; Marmo, G.; Schiavone, L.; Ventriglia, F.; Vitale, Patrizia 1 2019 Contact manifolds and dissipation, classical and quantum. Zbl 1404.81146Ciaglia, F. M.; Cruz, H.; Marmo, G. 17 2018 A gentle introduction to Schwinger’s formulation of quantum mechanics: the groupoid picture. Zbl 1391.81016Ciaglia, F. M.; Ibort, A.; Marmo, G. 16 2018 A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family. Zbl 1394.81053Ciaglia, Florio M.; Di Cosmo, F.; Laudato, M.; Marmo, G.; Mele, Fabio M.; Ventriglia, F.; Vitale, Patrizia 6 2018 Tomographic reconstruction of quantum metrics. Zbl 1387.81117Laudato, Marco; Marmo, Giuseppe; Mele, Fabio M.; Ventriglia, Franco; Vitale, Patrizia 2 2018 Boundaries without boundaries. Zbl 1390.81184Facchi, Paolo; Garnero, Giancarlo; Marmo, Giuseppe; Samuel, Joseph; Sinha, Supurna 2 2018 A Hodge-de Rham Dirac operator on the quantum \(\text{SU}(2)\). Zbl 1387.53061Di Cosmo, Fabio; Marmo, Giuseppe; Pérez-Pardo, Juan Manuel; Zampini, Alessandro 1 2018 Geometry of quantum dynamics in infinite-dimensional Hilbert space. Zbl 1390.81149Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana 1 2018 Aspects of geodesical motion with Fisher-Rao metric: classical and quantum. Zbl 1391.81042Ciaglia, Florio M.; Cosmo, Fabio Di; Felice, Domenico; Mancini, Stefano; Marmo, Giuseppe; Pérez-Pardo, Juan M. 1 2018 Equations of motion as constraints: superselection rules, Ward identities. Zbl 1377.83023Asorey, M.; Balachandran, A. P.; Lizzi, F.; Marmo, G. 13 2017 Hamilton-Jacobi approach to potential functions in information geometry. Zbl 1415.70035Ciaglia, Florio M.; Di Cosmo, Fabio; Felice, Domenico; Mancini, Stefano; Marmo, Giuseppe; Pérez-Pardo, Juan M. 10 2017 Metric on the space of quantum states from relative entropy. Tomographic reconstruction. Zbl 1373.81041Man’ko, Vladimir I.; Marmo, Giuseppe; Ventriglia, Franco; Vitale, Patrizia 8 2017 Dynamical aspects in the quantizer-dequantizer formalism. Zbl 1372.81064Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. 6 2017 Dynamical vector fields on the manifold of quantum states. Zbl 1377.81082Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Laudato, M.; Marmo, G. 5 2017 Hamilton-Jacobi theory and information geometry. Zbl 1427.70041Ciaglia, Florio M.; Di Cosmo, Fabio; Marmo, Giuseppe 3 2017 Dynamical algebra of observables in dissipative quantum systems. Zbl 1357.81116Alipour, Sahar; Chruściński, Dariusz; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio; Rezakhani, Ali T. 2 2017 Tangent bundle geometry from dynamics: application to the Kepler problem. Zbl 1367.37051Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G. 2 2017 Covariant Jacobi brackets for test particles. Zbl 1400.81134Asorey, M.; Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. 2 2017 Tensorial dynamics on the space of quantum states. Zbl 1376.81008Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G. 1 2017 Geometrical structures for classical and quantum probability spaces. Zbl 1397.81030Ciaglia, Florio Maria; Ibort, Alberto; Marmo, Giuseppe 1 2017 Moving walls and geometric phases. Zbl 1380.81143Facchi, Paolo; Garnero, Giancarlo; Marmo, Giuseppe; Samuel, Joseph 7 2016 Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. 4 2016 A quantum route to Hamilton-Jacobi equation: comments and remarks. Zbl 1362.35093Cariñena, José F.; Martínez, Eduardo; Marmo, Giuseppe; Gràcia, Xavier; Muñoz-Lecanda, C. 2 2016 Time, classical and quantum. Zbl 1380.81022Aniello, P.; Ciaglia, F. M.; Di Cosmo, F.; Marmo, G.; Pérez-Pardo, J. M. 1 2016 Geometry from dynamics, classical and quantum. Zbl 1364.81001Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe 30 2015 The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators. Zbl 1331.58021Asorey, M.; Ibort, A.; Marmo, G. 11 2015 Advanced concepts in quantum mechanics. Zbl 1341.81002Esposito, Giampiero; Marmo, Giuseppe; Miele, Gennaro; Sudarshan, George 4 2015 Discrete abelian gauge theories for quantum simulations of QED. Zbl 1325.81123Notarnicola, Simone; Ercolessi, Elisa; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio; Pepe, Francesco V. 3 2015 Boundary dynamics driven entanglement. Zbl 1298.81016Ibort, A.; Marmo, G.; Pérez-Pardo, J. M. 5 2014 Defining quantumness via the Jordan product. Zbl 1283.81007Facchi, Paolo; Ferro, Leonardo; Marmo, Giuseppe; Pascazio, Saverio 3 2014 The Lagrangian Radon transform and the Weil representation. Zbl 1310.44005Marmo, Giuseppe; Michor, Peter W.; Neretin, Yury A. 1 2014 A quantum particle in a box with moving walls. Zbl 1275.81032Di Martino, Sara; Anzà, Fabio; Facchi, Paolo; Kossakowski, Andrzej; Marmo, Giuseppe; Messina, Antonino; Militello, Benedetto; Pascazio, Saverio 8 2013 Reduction of Lie-Jordan Banach algebras and quantum states. Zbl 1281.46047Falceto, F.; Ferro, L.; Ibort, A.; Marmo, G. 4 2013 A dynamical composition law for boundary conditions. Zbl 1263.81146Asorey, Manuel; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio 4 2013 Groupoids and the tomographic picture of quantum mechanics. Zbl 1279.81055Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Stornaiolo, C.; Ventriglia, F. 3 2013 Convex bodies of states and maps. Zbl 1280.81014Grabowski, Janusz; Ibort, Alberto; Kuś, Marek; Marmo, Giuseppe 1 2013 Classical and quantum symmetries reduction and integrability. Zbl 1339.37058Marmo, Giuseppe; Sparano, Giovanni; Vilasi, Gaetano 1 2013 Stochastic evolution of finite level systems: classical versus quantum. Zbl 1268.81040Chruściński, D.; Man’ko, V. I.; Marmo, G.; Ventriglia, F. 1 2013 Segre maps and entanglement for multipartite systems of indistinguishable particles. Zbl 1243.81037Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 4 2012 The observables of a dissipative quantum system. Zbl 1238.81152Chruściński, Dariusz; Facchi, Paolo; Marmo, Giuseppe; Pascazio, Saverio 3 2012 On the tomographic description of classical fields. Zbl 1260.81041Ibort, A.; López-Yela, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2012 The geometry of integrable and superintegrable systems. Zbl 1353.37130Ibort, A.; Marmo, G. 1 2012 Generalized quantum tomographic maps. Zbl 1278.81048Asorey, M.; Facchi, P.; Man’ko, V. I.; Marmo, G.; Pascazio, S.; Sudarshan, E. C. G. 1 2012 Entanglement for multipartite systems of indistinguishable particles. Zbl 1214.81039Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 8 2011 Dynamics of interacting classical and quantum systems. Zbl 1243.82043Chruściński, Dariusz; Kossakowski, Andrzej; Marmo, Giuseppe; Sudarshan, E. C. G. 7 2011 A pedagogical presentation of a \(C^\ast\)-algebraic approach to quantum tomography. Zbl 1263.81103Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 6 2011 Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation. Zbl 1222.81144Man’ko, V. I.; Marmo, G.; Porzio, A.; Solimeno, S.; Ventriglia, F. 6 2011 Classical tensors and quantum entanglement. II: Mixed states. Zbl 1221.81028Aniello, P.; Clemente-Gallardo, J.; Marmo, G.; Volkert, G. F. 4 2011 Covariant quantum fields on noncommutative spacetimes. Zbl 1301.81268Balachandran, A. P.; Ibort, A.; Marmo, G.; Martone, M. 2 2011 Quantum geons and noncommutative spacetimes. Zbl 1230.83066Balachandran, A. P.; Ibort, A.; Marmo, G.; Martone, M. 1 2011 Robustness of raw quantum tomography. Zbl 1242.81050Asorey, M.; Facchi, P.; Florio, G.; Man’ko, V. I.; Marmo, G.; Pascazio, S.; Sudarshan, E. C. G. 1 2011 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 30 2010 Classical and quantum Fisher information in the geometrical formulation of quantum mechanics. Zbl 1238.81013Facchi, Paolo; Kulkarni, Ravi; Man’ko, V. I.; Marmo, Giuseppe; Sudarshan, E. C. G.; Ventriglia, Franco 21 2010 On the tomographic picture of quantum mechanics. Zbl 1237.81043Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 7 2010 Star-product in the presence of a monopole. Zbl 1238.81150Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia 7 2010 A class of commutative dynamics of open quantum systems. Zbl 1213.81160Chruściński, Dariusz; Kossakowski, Andrzej; Aniello, Paolo; Marmo, Giuseppe; Ventriglia, Franco 6 2010 Brownian motion on Lie groups and open quantum systems. 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Zbl 1192.81001Esposito, Giampiero; Marmo, Giuseppe; Sudarshan, George 1 2010 An introduction to the tomographic picture of quantum mechanics. Zbl 1170.81007Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 42 2009 A generalized Wigner function on the space of irreducible representations of the Weyl-Heisenberg group and its transformation properties. Zbl 1161.81393Ibort, A.; Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 5 2009 The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Zbl 1278.70014Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar 5 2009 Towards a definition of quantum integrability. Zbl 1158.81337Clemente-Gallardo, Jesús; Marmo, Giuseppe 4 2009 Classical tensors from quantum states. Zbl 1169.81016Aniello, P.; Marmo, G.; Volkert, G. F. 2 2009 Remarks on the GNS representation and the geometry of quantum states. Zbl 1188.81109Chruściński, Dariusz; Marmo, Giuseppe 2 2009 Wigner’s theorem and the geometry of extreme positive maps. Zbl 1180.81010Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe 2 2009 Geometrical description of algebraic structures: applications to quantum mechanics. Zbl 1180.81079Cariñena, J. F.; Ibort, A.; Marmo, G.; Morandi, G. 2 2009 A tomographic description for classical and quantum cosmological perturbations. Zbl 1181.83218Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 2 2009 Remarks on the star product of functions on finite and compact groups. Zbl 1227.81211Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G. 1 2009 Basics of quantum mechanics, geometrization and some applications to quantum information. Zbl 1155.81025Clemente-Gallardo, Jesús; Marmo, Giuseppe 9 2008 Frame transforms, star products and quantum mechanics on phase space. Zbl 1189.81125Aniello, P.; Man’ko, V. I.; Marmo, G. 5 2008 Schwinger representation for the symmetric group:Two explicit constructions for the carrier space. Zbl 1220.81081Chaturvedi, S.; Marmo, G.; Mukunda, N.; Simon, R. 3 2008 Semigroup of positive maps for qudit states and entanglement in tomographic probability representation. Zbl 1225.81033Man’ko, V. I.; Marmo, G.; Simoni, A.; Ventriglia, F. 3 2008 Unital positive maps and quantum states. Zbl 1144.81446Asorey, M.; Kossakowski, A.; Marmo, G.; Sudarshan, E. C. G. 2 2008 A tomographic setting for quasi-distribution functions. Zbl 1252.81038Man’ko, V. I.; Marmo, G.; Simoni, A.; Sudarshan, E. C. G.; Ventriglia, F. 2 2008 Tomographic representation of minisuperspace quantum cosmology and Noether symmetries. Zbl 1162.83017Capozziello, S.; Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 2 2008 f-oscillators deformation for Moyal algebras. Zbl 1221.81109Man’ko, V. I.; Marmo, G.; Sudarshan, E. C. G.; Zaccaria, F. 2 2008 Tomographic entropy and cosmology. Zbl 1148.83345Man’ko, V. I.; Marmo, G.; Stornaiolo, C. 1 2008 Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 34 2007 Geometrization of quantum mechanics. Zbl 1134.81386Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G. 16 2007 Reduction procedures in classical and quantum mechanics. Zbl 1138.70011Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe 6 2007 ...and 133 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,314 Authors 109 Marmo, Giuseppe 47 Cariñena, José F. 43 Man’ko, Vladimir Ivanovich 41 Ibort, Alberto 37 de León Rodríguez, Manuel 28 de Lucas, Javier 26 Ciaglia, Florio Maria 25 Grabowski, Janusz 24 Rañada, Manuel F. 19 Balachandran, Aiyalam P. 19 Di Cosmo, Fabio 18 Facchi, Paolo 18 Román-Roy, Narciso 18 Vitale, Patrizia 17 Sardón, Cristina 16 Sheng, Yunhe 15 Ventriglia, Franco 14 Marrero, Juan Carlos 14 Martín de Diego, David 13 Asorey, Manuel 13 Ercolessi, Elisa 12 Muñoz-Lecanda, Miguel C. 12 Sarlet, Willy 11 Aniello, Paolo 11 Capozziello, Salvatore 11 Chruściński, Dariusz 11 Clemente-Gallardo, Jesús 11 Esen, Oğul 10 Esposito, Giampiero 10 Gaeta, Giuseppe 10 Gràcia, Xavier 10 Martínez Fernández, Eduardo 10 Schiavone, Luca 10 Simoni, Alberto 9 Aldaya, Victor 9 Guerrero, Julio 9 Guha, Partha 9 Man’ko, Margarita A. 9 Pérez-Pardo, Juan Manuel 9 Stornaiolo, Cosimo 8 Calixto, Manuel 8 Crampin, Mike 8 Grabowska, Katarzyna 8 Morandi, Giuseppe 8 Pascazio, Saverio 8 Sen, Ashoke Kumar 8 Tronci, Cesare 8 Vilariño, Silvia 7 Andreev, Vladimir A. 7 Bai, Ruipu 7 Kuś, Marek 7 Muñoz-Castañeda, José María 7 Nunes da Costa, Joana Margarida M. 7 Padrón, Edith 7 Rivas, Xavier 7 Teotonio-Sobrinho, Paulo 7 Tsyganov, Andreĭ Vladimirovich 7 Vinogradov, Aleksandr Mikhaĭlovich 7 Zampini, Alessandro 6 Bimonte, Giuseppe 6 Das, Apurba 6 Herranz, Francisco José 6 Liu, Jiefeng 6 Lizzi, Fedele 6 Tempesta, Piergiulio 6 Tulczyjew, Włodzimierz Marek 6 Vitagliano, Luca 6 Xia, Yan 6 Życzkowski, Karol 5 Ballesteros, Angel 5 Bravetti, Alessandro 5 Canfora, Fabrizio 5 Caseiro, Raquel 5 Cendra, Hernán 5 Chaturvedi, Subhash 5 Damianou, Pantelis Andrea 5 Gao, Xing 5 Gaset, Jordi 5 Gay-Balmaz, François 5 Guo, Li 5 Iglesias Ponte, David 5 Korennoy, Ya. A. 5 Kosmann-Schwarzbach, Yvette 5 Laurent-Gengoux, Camille 5 Mancini, Stefano 5 Man’ko, Olga V. 5 Mukunda, Narasimhaiengar 5 Prince, Geoff E. 5 Rezaei-Aghdam, Adel 5 Scolarici, Giuseppe 5 Sudarshan, E. C. George 5 Vaquero, Miguel 5 Vilasi, Gaetano 4 Bai, Chengming 4 Barbero-Liñán, María 4 Benatti, Fabio 4 Bolsinov, Alexey V. 4 Bruce, Andrew James 4 Bucataru, Joan 4 Campoamor-Stursberg, Rutwig ...and 1,214 more Authors all top 5 Cited in 200 Serials 106 Journal of Mathematical Physics 105 International Journal of Geometric Methods in Modern Physics 83 Journal of Geometry and Physics 55 Journal of Physics A: Mathematical and Theoretical 43 International Journal of Theoretical Physics 39 Journal of High Energy Physics 38 Reports on Mathematical Physics 32 Quantum Information Processing 31 Physics Letters. A 28 Nuclear Physics. 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