Most cited papers in Spectral Theory in Mathematical Physics
What are the most cited papers in Spectral Theory in Mathematical Physics?
The most cited paper in Spectral Theory in Mathematical Physics is "On the generators of quantum dynamical semigroups" (Göran Lindblad, 1976), with 7,738 citations. Next come "Unpaired Majorana fermions in quantum wires" (4,840) and "Minimax Methods in Critical Point Theory with Applications to Differential Equations" (4,190).
Showing 50 of 100 papers. Every paper with more than 481 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On the generators of quantum dynamical semigroups Göran Lindblad · Communications in Mathematical Physics | Jun 1976 | 7,738 |
| 2 | Unpaired Majorana fermions in quantum wires A Yu Kitaev · Physics-Uspekhi | Oct 2001 | 4,840 |
| 3 | Minimax Methods in Critical Point Theory with Applications to Differential Equations Paul H. Rabinowitz · Regional conference series in mathematics | Jul 1986 | 4,190 |
| 4 | Separability of mixed states: necessary and sufficient conditions Michał Horodecki, Paweł Horodecki, Ryszard Horodecki · Physics Letters A | Nov 1996 | 3,678 |
| 5 | The Kondo Problem of Heavy Fermions Alex C. Hewson, Piers Coleman · Physics Today | Mar 1994 | 2,364 |
| 6 | Unpaired majorana fermions in quantum wires Alexei Yu. Kitaev | 2000 | 2,130 |
| 7 | Invariance theory, the heat equation, and the Atiyah-Singer index theorem Peter Gilkey | 1995 | 1,559 |
| 8 | The Resolving Power of Gross Earth Data George Backus, Freeman Gilbert · Geophysical Journal International | Oct 1968 | 1,540 |
| 9 | Analysis of feedback systems with structured uncertainties John C. Doyle · IEE Proceedings D Control Theory and Applications | Nov 1982 | 1,478 |
| 10 | Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions Erik Balslev, J. M. Combes · Communications in Mathematical Physics | Dec 1971 | 1,447 |
| 11 | Elliptic Partial Differential Equations of Second Order Piero Bassanini, Alan R. Elcrat | 1997 | 1,379 |
| 12 | The statistical mechanics of polymers with excluded volume Sam F Edwards · Proceedings of the Physical Society | Apr 1965 | 1,360 |
| 13 | Painless nonorthogonal expansions Ingrid Daubechies, A. Großmann, Yves Meyer · Journal of Mathematical Physics | May 1986 | 1,329 |
| 14 | A class of analytic perturbations for one-body Schrödinger Hamiltonians José Edgar Madriz Aguilar, J. M. Combes · Communications in Mathematical Physics | Dec 1971 | 1,210 |
| 15 | The Yamabe problem John Michael Lee, Thomas H. Parker · Bulletin of the American Mathematical Society | 1987 | 1,186 |
| 16 | Localization Problem in One Dimension: Mapping and Escape Mahito Kohmoto, Leo P. Kadanoff, Chao Tang · Physical Review Letters | 6 Jun 1983 | 1,135 |
| 17 | Symmetric informationally complete quantum measurements Joseph M. Renes, Robin Blume-Kohout, Andrew J. Scott et al. · Journal of Mathematical Physics | 7 May 2004 | 1,099 |
| 18 | Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields Andrey Polyakov · Physics Letters B | Oct 1975 | 1,075 |
| 19 | Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus Guido Stampacchia · Annales de l’institut Fourier | 1965 | 1,042 |
| 20 | The uncertainty principle: A mathematical survey Gerald B. Folland, Alladi Sitaram · Journal of Fourier Analysis and Applications | May 1997 | 1,000 |
| 21 | Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series Atle Selberg · Journal of the Indian Mathematical Society | Sep 1956 | 996 |
| 22 | Permutationally invariant potential energy surfaces in high dimensionality Bastiaan J. Braams, Joel M. Bowman · International Reviews in Physical Chemistry | Oct 2009 | 992 |
| 23 | Inverse Problem for a Curved Quantum Guide Laure Cardoulis, Michel Cristofol · International Journal of Mathematics and Mathematical Sciences | 2012 | 974 |
| 24 | Curvature and the eigenvalues of the Laplacian Henry P. McKean, I. M. Singer · Journal of Differential Geometry | 1967 | 955 |
| 25 | The Cauchy problem for quasi-linear symmetric hyperbolic systems Tosio Kato · Archive for Rational Mechanics and Analysis | 1975 | 934 |
| 26 | Inverse scattering on the line Percy A. Deift, Eugene Trubowitz · Communications on Pure and Applied Mathematics | Mar 1979 | 929 |
| 27 | Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential Andreas Floer, Alan Weinstein · Journal of Functional Analysis | Dec 1986 | 870 |
| 28 | Methods of mathematical physics New York · Journal of the Franklin Institute | May 1956 | 866 |
| 29 | Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds Jeff Cheeger, Mikhail Leonidovich Gromov, Michael Eugene Taylor · Journal of Differential Geometry | 1982 | 861 |
| 30 | Bifurcation, perturbation of simple eigenvalues, itand linearized stability Michael G. Crandall, Paul H. Rabinowitz · Archive for Rational Mechanics and Analysis | Jun 1973 | 832 |
| 31 | Exactly massless quarks on the lattice Neuberger, H · CERN Document Server (European Organization for Nuclear Research) | 18 Jul 1997 | 825 |
| 32 | A Variational Approach to the Unipotential Many-Electron Problem R. T. Sharp, George K. Horton · Physical Review | 15 Apr 1953 | 822 |
| 33 | Point Spectra of Some Mutually Exciting Point Processes Alan G. Hawkes · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Oct 1971 | 808 |
| 34 | Quasilinear Dirichlet problems driven by positive sources D. D. Joseph, T. S. Lundgren · Archive for Rational Mechanics and Analysis | 1973 | 801 |
| 35 | On the heat equation and the index theorem Michael Francis Atiyah, R. Bott, V. K. Patodi · Inventiones mathematicae | Dec 1973 | 746 |
| 36 | The Thomas-Fermi theory of atoms, molecules and solids Élliott H. Lieb, Barry Simon · Advances in Mathematics | 1977 | 744 |
| 37 | One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System Chongming Yang, Chuan‐Zhang Yang · Physical Review | 7 Oct 1966 | 742 |
| 38 | On the spectrum of positive elliptic operators and periodic bicharacteristics J. J. Duistermaat · Lecture notes in mathematics | 1975 | 742 |
| 39 | Quasi-exactly-solvable problems andsl(2) algebra Alexander V. Turbiner · Communications in Mathematical Physics | Sep 1988 | 733 |
| 40 | Weighted norm inequalities for the conjugate function and Hilbert transform Richard A. Hunt, Benjamin Muckenhoupt, Richard L. Wheeden · Transactions of the American Mathematical Society | 1973 | 725 |
| 41 | Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System K. Ishii · Progress of Theoretical Physics Supplement | 1973 | 723 |
| 42 | The mass of an asymptotically flat manifold Robert Bartnik · Communications on Pure and Applied Mathematics | Sep 1986 | 708 |
| 43 | Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊) Howard Allen Levine · Transactions of the American Mathematical Society | 1974 | 707 |
| 44 | Convexity properties of the moment mapping. II Victor Guillemin, S. Sternberg · Inventiones mathematicae | Oct 1984 | 703 |
| 45 | New “Coherent” States associated with non-compact groups A. O. Barut, Luciano Girardello Júnior · Communications in Mathematical Physics | Mar 1971 | 700 |
| 46 | Hecke operators on ?0(m) A. O. L. Atkin, Joseph Lehner · Mathematische Annalen | Jun 1970 | 696 |
| 47 | Statistics of energy levels and eigenfunctions in disordered systems A Mirlin · Physics Reports | Mar 2000 | 691 |
| 48 | Spectral asymmetry and Riemannian geometry. III Michael Francis Atiyah, V. K. Patodi, I. M. Singer · Mathematical Proceedings of the Cambridge Philosophical Society | 1976 | 687 |
| 49 | Completely positive maps and entropy inequalities Göran Lindblad · Communications in Mathematical Physics | Jun 1975 | 686 |
| 50 | Convex trace functions and the Wigner-Yanase-Dyson conjecture Élliott H. Lieb · Advances in Mathematics | Dec 1973 | 680 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.