Edit Profile (opens in new tab) Giachetti, Riccardo Compute Distance To: Compute Author ID: giachetti.riccardo Published as: Giachetti, R.; Giachetti, Riccardo Documents Indexed: 49 Publications since 1981 1 Contribution as Editor Co-Authors: 17 Co-Authors with 42 Joint Publications 284 Co-Co-Authors all top 5 Co-Authors 3 single-authored 29 Sorace, Emanuele 20 Tarlini, Marco 13 Bonechi, Francesco 10 Celeghini, Enrico 6 Barducci, Andrea 4 Ciccoli, Nicola 4 Grecchi, Vincenzo 4 Ricci, Riccardo 2 Tognetti, Valerio 2 Vaia, Ruggero 1 Ballesteros, Angel 1 Casalbuoni, Roberto 1 Cuccoli, Alessandro 1 De Bièvre, Stephan 1 del Olmo, Mariano A. 1 Johnson, Russell Allan 1 Kulish, Petr Petrovich 1 Maciocco, R. 1 Pereña, C. M. 1 Pettini, Giulio 1 Ragionieri, Rodolfo 1 Reyman, Alexey G. 1 Tognetti, T. 1 Verrucchi, Paola all top 5 Serials 10 Journal of Physics A: Mathematical and General 6 Letters in Mathematical Physics 5 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Annals of Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Rendiconti del Seminario della Facoltà di Scienze dell’ Università di Cagliari 2 Journal of Mathematical Sciences (New York) 1 Modern Physics Letters A 1 International Journal of Theoretical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Journal of Differential Geometry 1 Applied Numerical Mathematics 1 Czechoslovak Journal of Physics all top 5 Fields 36 Quantum theory (81-XX) 23 Nonassociative rings and algebras (17-XX) 8 Associative rings and algebras (16-XX) 8 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 209 times in 135 Documents Cited by ▼ Year ▼ Three-dimensional quantum groups from contractions of \(SU(2)_ q\). Zbl 0725.17020Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 38 1990 The quantum Heisenberg group \(H(1)_ q\). Zbl 0743.17016Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 31 1991 The three-dimensional Euclidean quantum group \(E(3)_ q\) and its \(R\)- matrix. Zbl 0743.17017Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 25 1991 Contractions of quantum groups. Zbl 0757.17011Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 14 1992 The Floquet exponent for two-dimensional linear systems with bounded coefficients. Zbl 0627.34064Giachetti, Riccardo; Johnson, Russel A. 12 1986 Heisenberg XXZ model and quantum Galilei group. Zbl 0764.17022Bonechi, F.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 9 1992 Exponential mapping for non-semisimple quantum groups. Zbl 0806.17017Bonechi, F.; Celeghini, E.; Giachetti, R.; Pereña, C. M.; Sorace, E.; Tarlini, M. 8 1994 Quantization of a class of piecewise affine transformations on the torus. Zbl 0840.58019De Bièvre, S.; Degli Esposti, M.; Giachetti, R. 7 1996 \(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\). Zbl 0736.17019Celeghini, E.; Giachetti, R.; Reyman, A. G.; Sorace, E.; Tarlini, M. 7 1991 Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group. Zbl 0951.81008Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 6 1996 \({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds. Zbl 0645.58002Giachetti, Riccardo; Ricci, Riccardo 5 1986 Physical applications of inhomogeneous quantum groups. Zbl 0944.81518Bonechi, F.; Celeghini, E.; Giachetti, R.; Tarlini, M.; Sorace, E. 5 1992 Deformation quantization of the Heisenberg group. Zbl 0833.17017Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 4 1995 An \(R\)-matrix approach to the quantization of the Euclidean group \(E(2)\). Zbl 0832.17017Ballesteros, A.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 4 1993 Symplectic structures on graded manifolds. Zbl 0457.53019Giachetti, Riccardo; Ragionieri, Rodolfo; Ricci, Riccardo 4 1982 Quantum double and differential calculi. Zbl 0951.17008Bonechi, F.; Giachetti, R.; Maciocco, R.; Sorace, E.; Tarlini, M. 3 1996 Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006Celeghini, E.; Giachetti, R.; Kulish, P. P.; Sorace, E.; Tarlini, M. 3 1991 Unitarity of induced representations from coisotropic quantum subgroups. Zbl 0954.17011Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 3 1999 The coisotropic subgroup structure of \(\text{SL}_q(2,\mathbb{R})\). Zbl 0985.16021Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 3 2001 Two body relativistic wave equations. Zbl 1415.81028Giachetti, R.; Sorace, E. 3 2019 Induced representations of the one-dimensional quantum Galilei group. Zbl 0905.17009Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 2 1998 Induced representations of the one-dimensional quantum Galilei group. Zbl 0981.81039Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 2 2001 Level crossings in a \(PT\)-symmetric double well. Zbl 1343.81089Giachetti, Riccardo; Grecchi, Vincenzo 2 2016 Scalar and spinnig particles in an external linearized gravitational wave field. Zbl 1062.83028Barducci, A.; Giachetti, R. 2 2005 \(PT\)-symmetric operators and metastable states of the 1D relativistic oscillators. Zbl 1211.81054Giachetti, Riccardo; Grecchi, Vincenzo 2 2011 The two-dimensional Euclidean quantum algebra at roots of unity. Zbl 0843.17005Ciccoli, N.; Giachetti, R. 1 1995 Quantum homogeneous spaces and special functions with a dimensional deformation parameter. Zbl 0899.43007Bonechi, F.; Giachetti, R.; del Olmo, M. A.; Sorace, E.; Tarlini, M. 1 1996 Path integrals from peV to TeV. 50 years after Feynman’s paper. Proceedings of the 6th international conference held in Florence, Italy, August 25–29, 1998. Zbl 0944.00083 1 1999 An independence theorem for Langrangian systems on graded manifolds. Zbl 0557.58011Barducci, Andrea; Giachetti, Riccardo; Sorace, Emanuele 1 1984 Localization of the states of a \(PT\)-symmetric double well. Zbl 1329.81168Giachetti, Riccardo; Grecchi, Vincenzo 1 2015 Hamiltonian formulation for the gauge theory of the gravitational coupling. Zbl 0494.70022Giachetti, Riccardo; Ricci, Riccardo; Sorace, Emanuele 1 1981 Two-fermion relativistic bound states: hyperfine shifts. Zbl 1107.81350Giachetti, R.; Sorace, E. 1 2006 Two fermion relativistic bound states. Zbl 1065.81621Giachetti, R.; Sorace, E. 1 2005 Bender-Wu singularities. Zbl 1353.81052Giachetti, Riccardo; Grecchi, Vincenzo 1 2016 Relativistic levels of mesic atoms. Zbl 1473.81084Giachetti, R.; Sorace, E. 1 2021 Spectral properties of the Dirac equation in unbounded vector potentials. Zbl 1246.65133Giachetti, Riccardo 1 2012 Foldy-Wouthuysen transformation for a spinning particle with anomalous magnetic moment. Zbl 1176.81049Barducci, A.; Giachetti, R.; Pettini, Giulio 1 2009 A spinning particle with an anomalous magnetic moment in an external plane wave field. Zbl 1139.81334Barducci, A.; Giachetti, R. 1 2008 Relativistic levels of mesic atoms. Zbl 1473.81084Giachetti, R.; Sorace, E. 1 2021 Two body relativistic wave equations. Zbl 1415.81028Giachetti, R.; Sorace, E. 3 2019 Level crossings in a \(PT\)-symmetric double well. Zbl 1343.81089Giachetti, Riccardo; Grecchi, Vincenzo 2 2016 Bender-Wu singularities. Zbl 1353.81052Giachetti, Riccardo; Grecchi, Vincenzo 1 2016 Localization of the states of a \(PT\)-symmetric double well. Zbl 1329.81168Giachetti, Riccardo; Grecchi, Vincenzo 1 2015 Spectral properties of the Dirac equation in unbounded vector potentials. Zbl 1246.65133Giachetti, Riccardo 1 2012 \(PT\)-symmetric operators and metastable states of the 1D relativistic oscillators. Zbl 1211.81054Giachetti, Riccardo; Grecchi, Vincenzo 2 2011 Foldy-Wouthuysen transformation for a spinning particle with anomalous magnetic moment. Zbl 1176.81049Barducci, A.; Giachetti, R.; Pettini, Giulio 1 2009 A spinning particle with an anomalous magnetic moment in an external plane wave field. Zbl 1139.81334Barducci, A.; Giachetti, R. 1 2008 Two-fermion relativistic bound states: hyperfine shifts. Zbl 1107.81350Giachetti, R.; Sorace, E. 1 2006 Scalar and spinnig particles in an external linearized gravitational wave field. Zbl 1062.83028Barducci, A.; Giachetti, R. 2 2005 Two fermion relativistic bound states. Zbl 1065.81621Giachetti, R.; Sorace, E. 1 2005 The coisotropic subgroup structure of \(\text{SL}_q(2,\mathbb{R})\). Zbl 0985.16021Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 3 2001 Induced representations of the one-dimensional quantum Galilei group. Zbl 0981.81039Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 2 2001 Unitarity of induced representations from coisotropic quantum subgroups. Zbl 0954.17011Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 3 1999 Path integrals from peV to TeV. 50 years after Feynman’s paper. Proceedings of the 6th international conference held in Florence, Italy, August 25–29, 1998. Zbl 0944.00083 1 1999 Induced representations of the one-dimensional quantum Galilei group. Zbl 0905.17009Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 2 1998 Quantization of a class of piecewise affine transformations on the torus. Zbl 0840.58019De Bièvre, S.; Degli Esposti, M.; Giachetti, R. 7 1996 Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group. Zbl 0951.81008Bonechi, F.; Ciccoli, N.; Giachetti, R.; Sorace, E.; Tarlini, M. 6 1996 Quantum double and differential calculi. Zbl 0951.17008Bonechi, F.; Giachetti, R.; Maciocco, R.; Sorace, E.; Tarlini, M. 3 1996 Quantum homogeneous spaces and special functions with a dimensional deformation parameter. Zbl 0899.43007Bonechi, F.; Giachetti, R.; del Olmo, M. A.; Sorace, E.; Tarlini, M. 1 1996 Deformation quantization of the Heisenberg group. Zbl 0833.17017Bonechi, F.; Giachetti, R.; Sorace, E.; Tarlini, M. 4 1995 The two-dimensional Euclidean quantum algebra at roots of unity. Zbl 0843.17005Ciccoli, N.; Giachetti, R. 1 1995 Exponential mapping for non-semisimple quantum groups. Zbl 0806.17017Bonechi, F.; Celeghini, E.; Giachetti, R.; Pereña, C. M.; Sorace, E.; Tarlini, M. 8 1994 An \(R\)-matrix approach to the quantization of the Euclidean group \(E(2)\). Zbl 0832.17017Ballesteros, A.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 4 1993 Contractions of quantum groups. Zbl 0757.17011Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 14 1992 Heisenberg XXZ model and quantum Galilei group. Zbl 0764.17022Bonechi, F.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M. 9 1992 Physical applications of inhomogeneous quantum groups. Zbl 0944.81518Bonechi, F.; Celeghini, E.; Giachetti, R.; Tarlini, M.; Sorace, E. 5 1992 The quantum Heisenberg group \(H(1)_ q\). Zbl 0743.17016Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 31 1991 The three-dimensional Euclidean quantum group \(E(3)_ q\) and its \(R\)- matrix. Zbl 0743.17017Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 25 1991 \(\mathrm{SO}_ q(n+1,n-1)\) as a real form of \(\mathrm{SO}_ q(2n,\mathbb C)\). Zbl 0736.17019Celeghini, E.; Giachetti, R.; Reyman, A. G.; Sorace, E.; Tarlini, M. 7 1991 Hopf superalgebra contractions and \(R\)-matrix for fermions. Zbl 0767.17006Celeghini, E.; Giachetti, R.; Kulish, P. P.; Sorace, E.; Tarlini, M. 3 1991 Three-dimensional quantum groups from contractions of \(SU(2)_ q\). Zbl 0725.17020Celeghini, Enrico; Giachetti, Riccardo; Sorace, Emanuele; Tarlini, Marco 38 1990 The Floquet exponent for two-dimensional linear systems with bounded coefficients. Zbl 0627.34064Giachetti, Riccardo; Johnson, Russel A. 12 1986 \({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds. Zbl 0645.58002Giachetti, Riccardo; Ricci, Riccardo 5 1986 An independence theorem for Langrangian systems on graded manifolds. Zbl 0557.58011Barducci, Andrea; Giachetti, Riccardo; Sorace, Emanuele 1 1984 Symplectic structures on graded manifolds. Zbl 0457.53019Giachetti, Riccardo; Ragionieri, Rodolfo; Ricci, Riccardo 4 1982 Hamiltonian formulation for the gauge theory of the gravitational coupling. Zbl 0494.70022Giachetti, Riccardo; Ricci, Riccardo; Sorace, Emanuele 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 159 Authors 14 Giachetti, Riccardo 11 Sorace, Emanuele 9 Tarlini, Marco 8 Ballesteros, Angel 8 Herranz, Francisco José 6 Castellani, Leonardo 6 Ciccoli, Nicola 6 Lukierski, Jerzy 5 Bonechi, Francesco 5 del Olmo, Mariano A. 5 Johnson, Russell Allan 5 Ruegg, Henri 4 Celeghini, Enrico 4 Nowicki, Anatol 4 Santander, Mariano 3 Aschieri, Paolo 3 Chaichian, Masud 3 de Azcárraga, José A. 3 Dëmichev, A. P. 3 Fioresi, Rita 3 Majid, Shahn 3 Tolstoĭ, Valeriĭ Nikolaevich 3 Young, Charles A. S. 3 Zegers, Robin 2 Barducci, Andrea 2 Bonfiglioli, Andrea 2 Borowiec, Andrzej Zdzisław 2 Chetouani, Lyazid 2 Dabrowski, Ludwik 2 De Commer, Kenny 2 Ellinas, Demosthenes 2 Fabbri, Roberta 2 Gutiérrez-Sagredo, Iván 2 Ibort, Luis Alberto 2 Izquierdo, José Manuel 2 Katriel, Jacob 2 Kulish, Petr Petrovich 2 Maślanka, Paweł 2 Monterde, Juan 2 Obaya, Rafael 2 Picón, Moisés 2 Prešnajder, Peter 2 Quesne, Christiane 2 Sánchez Valenzuela, Oscar Adolfo 2 Sobczyk, Jan T. 2 Stavracou, T. 2 Torrielli, Alessandro 2 Varela, Oscar 2 Woronowicz, Stanisław Lech 1 Abdesselam, Boucif 1 Achilles, Rüdiger 1 Agostini, Alessandra 1 Ahmed, Zafar 1 Alonso, Ana Isabel 1 Andruskiewitsch, Nicolás 1 Arratia, Oscar 1 Arvanitoyeorgos, Andreas 1 Baguis, Pierre 1 Baskerville, W. K. 1 Benbitour, Mohammed Abdelwahhab 1 Blohmann, Christian 1 Borsato, Riccardo 1 Boussaid, Chaib 1 Broidioi, M. 1 Bruno, Nicola Rossano 1 Brzeziński, Tomasz 1 Bulacu, Daniel 1 Cantrijn, Frans 1 Chakrabarti, Ranabir 1 Chowdhury, S. Hasibul Hassan 1 Damaskinskij, E. V. 1 D’Andrea, Francesco 1 Dăscălescu, Sorin 1 Devoto, Jorge Andrés 1 Domokos, Mátyás 1 Elia, Cinzia 1 Fiore, Gaetano 1 Gavarini, Fabio 1 Ghosh, Dona 1 Gómez, Cesar A. 1 Grecchi, Vincenzo 1 Grosse, Harald 1 Gubitosi, Giulia 1 Gupta, Raj K. 1 Guvendi, Abdullah 1 Haouat, Salah 1 Hussin, Véronique 1 Jagannathan, Ramaswamy 1 Jarvis, Peter D. 1 Jaskólski, Zbigniew 1 Jiang, Jian-Jian 1 Juszczak, Cezary 1 Kelarev, Andrei Vladimirovich 1 Khanna, Faqir C. 1 Kitanine, Nikolai 1 Koelink, Erik 1 Kopf, Tomáš 1 Kosiński, Piotr 1 Kummer, Wolfgang 1 Latini, Emanuele ...and 59 more Authors all top 5 Cited in 38 Serials 40 Journal of Mathematical Physics 13 Letters in Mathematical Physics 12 Journal of Geometry and Physics 7 Physics Letters. B 6 Communications in Mathematical Physics 4 Nuclear Physics. B 4 Journal of Dynamics and Differential Equations 4 Czechoslovak Journal of Physics 3 International Journal of Theoretical Physics 3 Annals of Physics 2 Modern Physics Letters A 2 International Journal of Modern Physics B 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Nuclear Physics. B. Proceedings Supplements 2 Journal of High Energy Physics 2 The European Physical Journal C. Particles and Fields 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Differential Geometry and its Applications 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Algebras and Representation Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Research Announcements in Mathematical Sciences 1 Advances in High Energy Physics 1 Advances in Mathematical Physics all top 5 Cited in 26 Fields 92 Quantum theory (81-XX) 79 Nonassociative rings and algebras (17-XX) 46 Associative rings and algebras (16-XX) 25 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 14 Relativity and gravitational theory (83-XX) 13 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 8 Topological groups, Lie groups (22-XX) 7 Group theory and generalizations (20-XX) 7 Mechanics of particles and systems (70-XX) 5 Partial differential equations (35-XX) 4 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year