Journal of Mathematical Physics Short Title: J. Math. Phys. Publisher: AIP Publishing, Melville, NY; American Institute of Physics (AIP), College Park, MD ISSN: 0022-2488; 1089-7658/e Online: https://aip.scitation.org/toc/jmp/current Comments: Indexed cover-to-cover Documents Indexed: 19,865 Publications (since 1960) References Indexed: 19,685 Publications with 406,286 References. all top 5 Latest Issues 63, No. 10 (2022) 63, No. 7 (2022) 63, No. 6 (2022) 63, No. 5 (2022) 63, No. 4 (2022) 63, No. 3 (2022) 63, No. 2 (2022) 63, No. 1 (2022) 62, No. 12 (2021) 62, No. 11 (2021) 62, No. 10 (2021) 62, No. 9 (2021) 62, No. 8 (2021) 62, No. 7 (2021) 62, No. 6 (2021) 62, No. 5 (2021) 62, No. 4 (2021) 62, No. 3 (2021) 62, No. 2 (2021) 62, No. 1 (2021) 61, No. 12 (2020) 61, No. 11 (2020) 61, No. 10 (2020) 61, No. 9 (2020) 61, No. 8 (2020) 61, No. 7 (2020) 61, No. 6 (2020) 61, No. 5 (2020) 61, No. 4 (2020) 61, No. 3 (2020) 61, No. 2 (2020) 61, No. 1 (2020) 60, No. 12 (2019) 60, No. 11 (2019) 60, No. 10 (2019) 60, No. 9 (2019) 60, No. 8 (2019) 60, No. 7 (2019) 60, No. 6 (2019) 60, No. 5 (2019) 60, No. 4 (2019) 60, No. 3 (2019) 60, No. 2 (2019) 60, No. 1 (2019) 59, No. 12 (2018) 59, No. 11 (2018) 59, No. 10 (2018) 59, No. 9 (2018) 59, No. 8 (2018) 59, No. 7 (2018) 59, No. 6 (2018) 59, No. 5 (2018) 59, No. 4 (2018) 59, No. 3 (2018) 59, No. 2 (2018) 59, No. 1 (2018) 58, No. 12 (2017) 58, No. 11 (2017) 58, No. 10 (2017) 58, No. 9 (2017) 58, No. 8 (2017) 58, No. 7 (2017) 58, No. 6 (2017) 58, No. 5 (2017) 58, No. 4 (2017) 58, No. 3 (2017) 58, No. 2 (2017) 58, No. 1 (2017) 57, No. 12 (2016) 57, No. 11 (2016) 57, No. 10 (2016) 57, No. 9 (2016) 57, No. 8 (2016) 57, No. 7 (2016) 57, No. 6 (2016) 57, No. 5 (2016) 57, No. 4 (2016) 57, No. 3 (2016) 57, No. 2 (2016) 57, No. 1 (2016) 56, No. 12 (2015) 56, No. 11 (2015) 56, No. 10 (2015) 56, No. 9 (2015) 56, No. 8 (2015) 56, No. 7 (2015) 56, No. 6 (2015) 56, No. 5 (2015) 56, No. 4 (2015) 56, No. 3 (2015) 56, No. 2 (2015) 56, No. 1 (2015) 55, No. 12 (2014) 55, No. 11 (2014) 55, No. 10 (2014) 55, No. 9 (2014) 55, No. 8 (2014) 55, No. 7 (2014) 55, No. 6 (2014) 55, No. 5 (2014) ...and 344 more Volumes all top 5 Authors 89 Winternitz, Pavel 73 Patera, Jiří 60 Calogero, Francesco A. 60 Miller, Willard jun. 55 Kalnins, Ernest G. 49 Van der Jeugt, Joris 47 Newman, Ezra Ted 40 Gould, Mark D. 40 Leach, Peter Gavin Lawrence 39 Sharp, Robert T. 35 Guo, Boling 34 Horwitz, Lawrence Paul 34 Lakshmanan, Muthusamy 34 Llibre, Jaume 33 Bender, Carl M. 33 Exner, Pavel 33 Mukunda, Narasimhaiengar 32 Klauder, John Rider 32 Majid, Shahn 31 Quesne, Christiane 31 Rañada, Manuel F. 31 Wolf, Kurt Bernardo 30 Bagarello, Fabio 30 Vinet, Luc 28 Aktosun, Tuncay 28 Dirl, Rainer 28 Gudder, Stanley P. 28 Rowe, David J. 27 de León Rodríguez, Manuel 27 del Olmo, Mariano A. 27 Harnad, John 27 Plebański, Jerzy Franciszek 27 Torres del Castillo, Gerardo Francisco 27 Vanden Berghe, Guido 26 Albeverio, Sergio A. 26 Cariñena, José F. 26 Grammaticos, Basil 26 Moses, Harry E. 26 Ramani, Alfred 25 Biedenharn, Lawrence C. jun. 25 De Meyer, Hans E. 25 Grundland, Alfred Michel 25 Ha, Seung-Yeal 25 Klimyk, Anatoliy Ul’yanovich 25 Zhang, Ruibin 25 Zhang, Yaozhong 24 Ma, Wen-Xiu 24 Moshinsky, Marcos 24 Mostafazadeh, Ali 24 Ramm, Alexander G. 24 Santander, Mariano 23 Ali, Syed Twareque 23 Fokas, Athanassios S. 23 Hall, Richard L. 23 Jørgensen, Palle E. T. 22 Ablowitz, Mark Jay 22 Glass, Edward N. 22 Gruber, Bruno J. 22 Hounkonnou, Mahouton Norbert 22 Sasaki, Ryu 22 Schulze-Halberg, Axel 21 Dehesa, Jesús S. 21 Geroch, Robert 21 Lou, Senyue 21 McLenaghan, Raymond G. 21 Turgut, Osman Teoman 21 Zakrzewski, Wojciech J. 20 Coley, Alan Albert 20 Cornille, Henri 20 Gazeau, Jean-Pierre 20 Khare, Avinash 20 Klaus, Martin 20 Marquette, Ian 20 Okubo, Susumu 20 Palev, Tchavdar D. 20 Senthilvelan, Murugaian 20 Skrypnyk, Taras Volodymyrovych 20 Trapani, Camillo 20 Van der Mee, Cornelis Victor Maria 20 Werner, Reinhard F. 20 Weston, Vaughan H. 20 Wu, Tai Tsun 19 Arai, Asao 19 Datta, Nilanjana 19 Fernández, Francisco Marcelo 19 Geng, Xianguo 19 Hussin, Véronique 19 Khrennikov, Andreĭ Yur’evich 19 Krisch, Jean P. 19 Newton, Roger G. 19 Sardanashvily, Gennadi A. 19 Toppan, Francesco 18 Balantekin, A. Baha 18 Bluman, George W. 18 de Azcárraga, José A. 18 Hall, Graham S. 18 Hou, Boyu 18 Iwai, Toshihiro 18 Lahti, Pekka Johannes 18 Odake, Satoru ...and 16,222 more Authors all top 5 Fields 8,508 Quantum theory (81-XX) 4,325 Partial differential equations (35-XX) 2,339 Relativity and gravitational theory (83-XX) 2,120 Differential geometry (53-XX) 2,011 Dynamical systems and ergodic theory (37-XX) 1,903 Statistical mechanics, structure of matter (82-XX) 1,688 Nonassociative rings and algebras (17-XX) 1,521 Mechanics of particles and systems (70-XX) 1,420 Global analysis, analysis on manifolds (58-XX) 1,301 Fluid mechanics (76-XX) 1,234 Topological groups, Lie groups (22-XX) 1,108 Functional analysis (46-XX) 1,091 Operator theory (47-XX) 950 Ordinary differential equations (34-XX) 888 Probability theory and stochastic processes (60-XX) 783 Special functions (33-XX) 646 Optics, electromagnetic theory (78-XX) 438 Linear and multilinear algebra; matrix theory (15-XX) 436 Group theory and generalizations (20-XX) 357 Information and communication theory, circuits (94-XX) 324 Algebraic geometry (14-XX) 255 Mechanics of deformable solids (74-XX) 252 Associative rings and algebras (16-XX) 235 Numerical analysis (65-XX) 219 Manifolds and cell complexes (57-XX) 210 Combinatorics (05-XX) 210 Difference and functional equations (39-XX) 206 Integral equations (45-XX) 204 Calculus of variations and optimal control; optimization (49-XX) 197 Harmonic analysis on Euclidean spaces (42-XX) 188 Number theory (11-XX) 165 Functions of a complex variable (30-XX) 141 Several complex variables and analytic spaces (32-XX) 121 Algebraic topology (55-XX) 121 Classical thermodynamics, heat transfer (80-XX) 119 Real functions (26-XX) 112 Statistics (62-XX) 105 Approximations and expansions (41-XX) 101 Integral transforms, operational calculus (44-XX) 101 Astronomy and astrophysics (85-XX) 98 Measure and integration (28-XX) 94 Biology and other natural sciences (92-XX) 88 Category theory; homological algebra (18-XX) 77 Abstract harmonic analysis (43-XX) 74 Mathematical logic and foundations (03-XX) 71 Computer science (68-XX) 65 Systems theory; control (93-XX) 56 Geophysics (86-XX) 53 Geometry (51-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 48 Convex and discrete geometry (52-XX) 46 Potential theory (31-XX) 44 General topology (54-XX) 43 Sequences, series, summability (40-XX) 33 \(K\)-theory (19-XX) 26 General and overarching topics; collections (00-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Field theory and polynomials (12-XX) 17 Commutative algebra (13-XX) 14 Operations research, mathematical programming (90-XX) 13 History and biography (01-XX) 6 General algebraic systems (08-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15,628 Publications have been cited 138,679 times in 74,447 Documents Cited by ▼ Year ▼ The Painlevé property for partial differential equations. Zbl 0514.35083Weiss, John; Tabor, M.; Carnevale, George 537 1983 The world as a hologram. Zbl 0850.00013Susskind, Leonard 532 1995 An approach to gravitational radiation by a method of spin coefficients. Zbl 0108.40905Newman, E.; Penrose, Roger 509 1963 A simple model of the integrable Hamiltonian equation. Zbl 0383.35065Magri, Franco 495 1978 Painless nonorthogonal expansions. Zbl 0608.46014Daubechies, Ingrid; Grossmann, A.; Meyer, Y. 484 1986 The Einstein tensor and its generalizations. Zbl 0213.48801Lovelock, D. 475 1971 The inverse scattering transform: Semi-infinite interval. Zbl 0299.35076Ablowitz, M. J.; Segur, H. 434 1975 An algebraic approach to quantum field theory. Zbl 0139.46003Haag, Rudolf; Kastler, D. 388 1964 Fractional diffusion and wave equations. Zbl 0692.45004Schneider, W. R.; Wyss, W. 387 1989 Statistical theory of the energy levels of complex systems. I-III. Zbl 0105.41604Dyson, Freeman J. 385 1962 On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations. Zbl 0372.35009Glassey, R. T. 362 1977 An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015Kaup, David J.; Newell, Alan C. 321 1978 New similarity reductions of the Boussinesq equation. Zbl 0698.35137Clarkson, Peter A.; Kruskal, Martin D. 309 1989 Korteweg-de Vries equation and generalizations. II: Existence of conservation laws and constants of motion. Zbl 0283.35019Miura, Robert M.; Gardner, Clifford S.; Kruskal, Martin D. 291 1968 Lorentz invariance and the gravitational field. Zbl 0095.22903Kibble, T. W. B. 287 1961 Random walks on lattices. II. Zbl 1342.60067Montroll, Elliott W.; Weiss, George H. 282 1965 The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. Zbl 0678.70015Tu, Guizhang 269 1989 A connection between nonlinear evolution equations and ordinary differential equations of P-type. I. Zbl 0445.35056Ablowitz, M. J.; Ramani, A.; Segur, H. 265 1980 Exact envelope-soliton solutions of a nonlinear wave equation. Zbl 0257.35052Hirota, Ryogo 263 1973 A Brownian-motion model for the eigenvalues of a random matrix. Zbl 0111.32703Dyson, F. J. 258 1962 Ground state solutions for nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\). Zbl 1281.81034Secchi, Simone 255 2013 Nonlinear differential-difference equations. Zbl 0296.34062Ablowitz, M. J.; Ladik, F. 249 1975 Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101Lax, P. D. 245 1964 Statistical ensembles of complex, quaternion, and real matrices. Zbl 0127.39304Ginibre, J. 238 1965 The fractional diffusion equation. Zbl 0632.35031Wyss, Walter 234 1986 Korteweg-de Vries equation and generalizations. I: A remarkable explicit nonlinear transformation. Zbl 0283.35018Miura, Robert M. 230 1968 Time-dependent statistics of the Ising model. Zbl 0145.24003Glauber, R. J. 226 1963 Nonlinear differential-difference equations and Fourier analysis. Zbl 0322.42014Ablowitz, M. J.; Ladik, J. F. 223 1976 Evolution equations possessing infinitely many symmetries. Zbl 0348.35024Olver, Peter J. 221 1977 The planar approximation. II. Zbl 0997.81549Itzykson, C.; Zuber, J. B. 216 1980 Brownian motion of a quantum oscillator. Zbl 0098.43503Schwinger, Julian 210 1961 Strings in \(\text{AdS}_ 3\) and the \(\text{SL}(2,\mathbb{R})\) WZW model. I: The spectrum. Zbl 1036.81033Maldacena, Juan; Ooguri, Hirosi 204 2001 Matrix models for beta ensembles. Zbl 1060.82020Dumitriu, Ioana; Edelman, Alan 201 2002 Feynman integrals and the Schrödinger equation. Zbl 0133.22905Nelson, E. 198 1964 The noncommutative geometry of the quantum Hall effect. Zbl 0824.46086Bellissard, J.; van Elst, A.; Schulz-Baldes, H. 197 1994 Twistor algebra. Zbl 0163.22602Penrose, Roger 195 1967 Local symmetries and constraints. Zbl 0704.70013Lee, Joohan; Wald, Robert M. 192 1990 Prolongation structures of nonlinear evolution equations. Zbl 0298.35012Wahlquist, H. D.; Estabrook, F. B. 190 1975 Domain of dependence. Zbl 0189.27602Geroch, Robert 190 1970 Symmetric informationally complete quantum measurements. Zbl 1071.81015Renes, Joseph M.; Blume-Kohout, Robin; Scott, A. J.; Caves, Carlton M. 187 2004 Korteweg-de Vries equation and generalizations. III: Derivation of the Korteweg-de Vries equation and Burgers’ equation. Zbl 0283.35020Su, C.-H.; Gardner, Clifford S. 186 1969 The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative. Zbl 0531.35069Weiss, John 181 1983 Pseudo-Hermiticity versus \(PT\) symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Zbl 1059.81070Mostafazadeh, Ali 174 2002 On the duality condition for a Hermitian scalar field. Zbl 0316.46062Bisognano, Joseph J.; Wichmann, Eyvind H. 173 1975 Empty-space generalization of the Schwarzschild metric. Zbl 0115.43305Newman, E.; Tamburino, L.; Unti, T. 171 1963 Invariants of real low dimension Lie algebras. Zbl 0357.17004Patera, J.; Sharp, R. T.; Winternitz, P.; Zassenhaus, Hans 170 1976 Noncommutative geometry and reality. Zbl 0871.58008Connes, Alain 170 1995 Exponential operators and parameter differentiation in quantum physics. Zbl 0173.29604Wilcox, R. M. 170 1967 Two-dimensional lumps in nonlinear dispersive systems. Zbl 0422.35014Satsuma, J.; Ablowitz, M. J. 165 1979 An exact prediction of \({\mathcal N}=4\) supersymmetric Yang-Mills theory for string theory. Zbl 1036.81041Drukker, Nadav; Gross, David J. 163 2001 On the representation of the semisimple Lie groups. II, III: The explicit conjugation operation for \(\mathrm{SU}_n\). IV: A canonical classification for tensor operators in \(\mathrm{SU}_3\). Zbl 0132.44302Baird, G. E.; Biedenharn, L. C. 160 1964 Maximal analytic extension of the Kerr metric. Zbl 0149.23503Boyer, R. H.; Lindquist, R. W. 158 1967 Time fractional Schrödinger equation. Zbl 1071.81035Naber, Mark 157 2004 Thermodynamics of a one -dimensional system of bosons with repulsive delta-function interaction. Zbl 0987.82503Yang, C. N.; Yang, C. P. 156 1969 A global theory of supermanifolds. Zbl 0447.58003Rogers, Alice 153 1980 A new integrable equation with cuspons and W/M-shape-peaks solitons. Zbl 1112.37063Qiao, Zhijun 150 2006 \(\mathcal P\mathcal T\)-symmetric quantum mechanics. Zbl 1057.81512Bender, Carl M.; Boettcher, Stefan; Meisinger, Peter N. 150 1999 Spinor structure of space-times in general relativity. I. Zbl 0165.29402Geroch, Robert 148 1968 Korteweg-de Vries equation and generalizations. IV: The Korteweg-de Vries equation as a Hamiltonian system. Zbl 0283.35021Gardner, Clifford 147 1971 Evolution theorem for a class of perturbed envelope soliton solutions. Zbl 0548.35101Laedke, E. W.; Spatschek, K. H.; Stenflo, L. 145 1983 Multiple condensate solutions for the Chern-Simons-Higgs theory. Zbl 0863.58081Tarantello, Gabriella 144 1996 Hilbert spaces of analytic functions and generalized coherent states. Zbl 0941.81549Arik, M.; Coon, D. D. 138 1976 Singularities and discontinuities of Feynman amplitudes. Zbl 0122.22605Cutkosky, R. E. 138 1960 Generalized Lie algebras. Zbl 0423.17003Scheunert, M. 136 1979 Linear canonical transformations and their unitary representations. Zbl 0247.20051Moshinsky, M.; Quesne, C. 135 1971 Causality implies the Lorentz group. Zbl 0133.23205Zeeman, E. C. 132 1964 Possible kinematics. Zbl 0162.58606Bacry, Henri; Lévy-Leblond, Jean-Marc 129 1968 On quantum Rényi entropies: a new generalization and some properties. Zbl 1290.81016Müller-Lennert, Martin; Dupuis, Frédéric; Szehr, Oleg; Fehr, Serge; Tomamichel, Marco 128 2013 Contraction of Lie groups. Zbl 0098.25804Saletan, Eugene J. 128 1961 Transforms associated to square integrable group representations. I: General results. Zbl 0571.22021Grossmann, A.; Morlet, J.; Paul, T. 128 1985 The Camassa-Holm equation as a geodesic flow on the diffeomorphism group. Zbl 0958.37060Kouranbaeva, Shinar 127 1999 Lie algebraic solution of linear differential equations. Zbl 0133.34202Wei, James; Norman, Edward 127 1963 On integrability of the Yang-Baxter \(\sigma\)-model. Zbl 1215.81099Klimčík, Ctirad 125 2009 A search for bilinear equations passing Hirota’s three-soliton condition. I: KdV-type bilinear equations. Zbl 0641.35073Hietarinta, Jarmo 123 1987 A method for generating solutions of Einstein’s equations. Zbl 0214.49002Geroch, Robert 123 1971 Exact N-soliton solutions of the wave equations of long waves in shallow- water and in nonlinear lattices. Zbl 0261.76008Hirota, Ryogo 122 1973 Noncommutative differential geometry of matrix algebras. Zbl 0704.53081Dubois-Violette, Michel; Kerner, Richard; Madore, John 122 1990 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom. Zbl 0856.58006Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 118 1995 Strongly interacting bumps for the Schrödinger-Newton equations. Zbl 1189.81061Wei, Juncheng; Winter, Matthias 116 2009 Type D vacuum metrics. Zbl 0182.30202Kinnersley, William 116 1969 A space-time calculus based on pairs of null directions. Zbl 0875.53014Geroch, R.; Held, A.; Penrose, Roger 115 1973 Higher-dimensional algebra and topological quantum field theory. Zbl 0863.18004Baez, John C.; Dolan, James 115 1995 Presymplectic manifolds and the Dirac-Bergmann theory of constraints. Zbl 0418.58010Gotay, Mark J.; Nester, James M.; Hinds, George 115 1978 Solitons and rational solutions of nonlinear evolution equations. Zbl 0418.35022Ablowitz, M. J.; Satsuma, J. 113 1978 Spin-\(s\) spherical harmonics and \(\eth\). Zbl 0155.57402Goldberg, J. N.; Macfarlane, A. J.; Newman, E. T.; Rohrlich, F.; Sudarshan, E. C. G. 112 1967 Note on the Kerr spinning-particle metric. Zbl 0142.46305Newman, E. T.; Janis, A. I. 112 1965 Integration in functional spaces and its applications in quantum physics. Zbl 0092.45105Gel’fand, I. M.; Yaglom, A. M. 111 1960 Supersymmetric extension of the Korteweg-de Vries equation. Zbl 0665.35076Mathieu, Pierre 111 1988 Subalgebras of real three- and four-dimensional Lie algebras. Zbl 0412.17007Patera, J.; Winternitz, P. 111 1977 First order analytic difference equations and integrable quantum systems. Zbl 0877.39002Ruijsenaars, S. N. M. 109 1997 Class of exact invariants for classical and quantum time-dependent harmonic oscillators. Zbl 0167.52501Lewis, H. R. jun. 109 1968 Curvature collineations: A fundamental symmetry property of the space- times of general relativity defined by the vanishing Lie derivative of the Riemann curvature tensor. Zbl 0176.19402Katzin, Gerald H.; Levine, Jack; Davis, William R. 109 1969 The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics. Zbl 0134.45703Dyson, F. J. 108 1962 Rigorous treatment of the van der Waals-Maxwell theory of the liquid-vapor transition. Zbl 0938.82520Lebowitz, J. L.; Penrose, O. 107 1966 Continuous-representation theory. I: Postulates of continuous- representation theory. II: Generalized relation between quantum and classical dynamics. Zbl 0127.18701Klauder, J. R. 105 1963 Statistical mechanics of assemblies of coupled oscillators. Zbl 0127.21605Ford, G.; Kac, M.; Mazur, Peter 102 1965 Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation. Zbl 0554.35123Barab, Jacqueline E. 101 1984 Some physical applications of fractional Schrödinger equation. Zbl 1112.81028Guo, Xiaoyi; Xu, Mingyu 100 2006 Superstrings and topological strings at large \(N\). Zbl 1060.81594Vafa, Cumrun 100 2001 Behavior of asymptotically flat empty spaces. Zbl 0113.21006Newman, E. T.; Unti, T. J. U. 99 1962 Resonant collisions between lumps and periodic solitons in the Kadomtsev-Petviashvili I equation. Zbl 07629208Rao, Jiguang; He, Jingsong; Malomed, Boris A. 4 2022 Ambarzumyan-type theorem for third order linear measure differential equations. Zbl 07629201Liu, Yixuan; Shi, Guoliang; Yan, Jun 2 2022 Some Liouville-type theorems for the stationary density-dependent Navier-Stokes equations. 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