Most cited papers in Quantum Mechanics and Non-Hermitian Physics
What are the most cited papers in Quantum Mechanics and Non-Hermitian Physics?
The most cited paper in Quantum Mechanics and Non-Hermitian Physics is "Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry" (Carl M. Bender, Stefan Boettcher, 1998), with 6,760 citations. Next come "Roothaan-Hartree-Fock atomic wavefunctions" (5,528) and "Norm-conserving and ultrasoft pseudopotentials for first-row and transition elements" (3,970).
Showing 50 of 100 papers. Every paper with more than 855 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Carl M. Bender, Stefan Boettcher · Physical Review Letters | 15 Jun 1998 | 6,760 |
| 2 | Roothaan-Hartree-Fock atomic wavefunctions Enrico Clementi, Carla Roetti · Atomic Data and Nuclear Data Tables | Sep 1974 | 5,528 |
| 3 | Norm-conserving and ultrasoft pseudopotentials for first-row and transition elements Georg Kresse, J. Häfner · Journal of Physics Condensed Matter | 3 Oct 1994 | 3,970 |
| 4 | Observation of parity–time symmetry in optics Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy et al. · Nature Physics | 24 Jan 2010 | 3,653 |
| 5 | Optimized norm-conserving Vanderbilt pseudopotentials Donald R. Hamann · Physical Review B | 19 Aug 2013 | 3,422 |
| 6 | Photonic Floquet topological insulators Mikael C. Rechtsman, Julia M. Zeuner, Yonatan Plotnik et al. · Nature | Apr 2013 | 3,354 |
| 7 | Microscopic origin of the Bekenstein-Hawking entropy Andrew Strominger, Cumrun Vafa · Physics Letters B | Jun 1996 | 3,090 |
| 8 | Making sense of non-Hermitian Hamiltonians Carl M Bender · Reports on Progress in Physics | 30 May 2007 | 3,022 |
| 9 | Non-Hermitian physics and PT symmetry Ramy El‐Ganainy, Konstantinos G. Makris, Mercedeh Khajavikhan et al. · Nature Physics | 2018 | 2,799 |
| 10 | Supersymmetry and quantum mechanics Fred Cooper, Avinash Khare, U. Sukhatme · Physics Reports | 1995 | 2,783 |
| 11 | Observation of P T -Symmetry Breaking in Complex Optical Potentials A. R. Guo, Gregory J. Salamo, D. Duchesne et al. · Physical Review Letters | 27 Aug 2009 | 2,778 |
| 12 | Parity–time-symmetric whispering-gallery microcavities Bo Peng, Şahin Kaya Özdemir, Fuchuan Lei et al. · Nature Physics | 5 Apr 2014 | 2,521 |
| 13 | Edge States and Topological Invariants of Non-Hermitian Systems Shunyu Yao, Zhong Wang · Physical Review Letters | 21 Aug 2018 | 2,311 |
| 14 | Exceptional points in optics and photonics Mohammad‐Ali Miri, Andrea Alù · Science | 3 Jan 2019 | 2,285 |
| 15 | Phase change during a cyclic quantum evolution Yakir Aharonov, J. Anandan · Physical Review Letters | 20 Apr 1987 | 2,209 |
| 16 | Exceptional points enhance sensing in an optical microcavity Weijian Chen, Şahin Kaya Özdemir, Guangming Zhao et al. · Nature | 8 Aug 2017 | 2,112 |
| 17 | Hyperbolic metamaterials Alexander N. Poddubny, Ivan V. Iorsh, Pavel A. Belov et al. · Nature Photonics | 28 Nov 2013 | 2,108 |
| 18 | Beam Dynamics in P T Symmetric Optical Lattices Konstantinos G. Makris, Ramy El‐Ganainy, Demetrios N. Christodoulides et al. · Physical Review Letters | 13 Mar 2008 | 2,079 |
| 19 | Parity–time synthetic photonic lattices Alois Regensburger, Christoph Bersch, Mohammad‐Ali Miri et al. · Nature | Aug 2012 | 2,067 |
| 20 | On the eigenfunctions of many‐particle systems in quantum mechanics Tosio Kato · Communications on Pure and Applied Mathematics | 1957 | 2,046 |
| 21 | The multi-configurational time-dependent Hartree approach Hans‐Dieter Meyer, Uwe Manthe, L. S. Cederbaum · Chemical Physics Letters | 1990 | 2,035 |
| 22 | Fano resonances in photonics M. F. Limonov, Mikhail V. Rybin, Alexander N. Poddubny et al. · Nature Photonics | Sep 2017 | 2,005 |
| 23 | Hilbert space representation of the minimal length uncertainty relation Achim Kempf, G. Mangano, Robert B. Mann · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Jul 1995 | 1,991 |
| 24 | Quantized electric multipole insulators Wladimir A. Benalcazar, B. Andrei Bernevig, Taylor L. Hughes · Science | 7 Jul 2017 | 1,982 |
| 25 | Unidirectional Invisibility Induced by P T -Symmetric Periodic Structures Zin Lin, Hamidreza Ramezani, Toni Eichelkraut et al. · Physical Review Letters | 25 May 2011 | 1,931 |
| 26 | Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Barry Simon · Physical Review Letters | 12 Dec 1983 | 1,929 |
| 27 | Enhanced sensitivity at higher-order exceptional points Hossein Hodaei, Absar U. Hassan, Steffen Wittek et al. · Nature | 8 Aug 2017 | 1,924 |
| 28 | Complex Extension of Quantum Mechanics Carl M. Bender, Dorje C. Brody, Hugh F Jones · Physical Review Letters | 16 Dec 2002 | 1,878 |
| 29 | Parity–time symmetry and exceptional points in photonics Şahin Kaya Özdemir, Stefan Rotter, Franco Nori et al. · Nature Materials | 8 Apr 2019 | 1,832 |
| 30 | An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic Field Harry R. Lewis, W. B. Riesenfeld · Journal of Mathematical Physics | Aug 1969 | 1,830 |
| 31 | Exceptional topology of non-Hermitian systems Emil J. Bergholtz, Jan Carl Budich, Flore K. Kunst · Reviews of Modern Physics | 24 Feb 2021 | 1,808 |
| 32 | Appearance of Gauge Structure in Simple Dynamical Systems Frank A. Wilczek, A. Zee · Physical Review Letters | 11 Jun 1984 | 1,788 |
| 33 | Non-Hermitian physics Yuto Ashida, Zongping Gong, Masahito Ueda · Advances In Physics | 2 Jul 2020 | 1,761 |
| 34 | Generalized discrete variable approximation in quantum mechanics J. C. Light, Ian P. Hamilton, James Lill · The Journal of Chemical Physics | Feb 1985 | 1,750 |
| 35 | Single-mode laser by parity-time symmetry breaking Liang Huan Feng, Zi Jing Wong, Ren‐Min Ma et al. · Science | 30 Oct 2014 | 1,739 |
| 36 | Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian Ali Mostafazadeh · Journal of Mathematical Physics | 2002 | 1,718 |
| 37 | Topological nodal semimetals A. A. Burkov, Michael David Hook, Leon Balents · Physical Review B | 20 Dec 2011 | 1,703 |
| 38 | Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material Long-Hua Wu, Xiao Hu · Physical Review Letters | 3 Jun 2015 | 1,662 |
| 39 | A ‘missing’ family of classical orthogonal polynomials Luc Vinet, Alexei S. Zhedanov · Journal of Physics A Mathematical and Theoretical | 31 Jan 2011 | 1,645 |
| 40 | Parity-time–symmetric microring lasers Hossein Hodaei, Mohammad‐Ali Miri, Matthias Heinrich et al. · Science | 30 Oct 2014 | 1,645 |
| 41 | Fractional Schrödinger equation Nick Laskin · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | 18 Nov 2002 | 1,588 |
| 42 | Making Sense of Non-Hermitian Hamiltonians Bender, C M · CERN Document Server (European Organization for Nuclear Research) | 9 Mar 2007 | 1,587 |
| 43 | Coherent states: Theory and some applications Wei-Min Zhang, Da Hsuan Feng, Robert Louis Gilmore · Reviews of Modern Physics | Oct 1990 | 1,544 |
| 44 | Non-Hermitian photonics based on parity–time symmetry Liang Feng, Ramy El‐Ganainy, Li Ge · Nature Photonics | 16 Nov 2017 | 1,531 |
| 45 | Topological Phases of Non-Hermitian Systems Zongping Gong, Yuto Ashida, Kohei Kawabata et al. · Physical Review X | 24 Sep 2018 | 1,488 |
| 46 | Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies Liang Huan Feng, Ye-Long Xu, William Santos Fegadolli et al. · Nature Materials | 23 Nov 2012 | 1,483 |
| 47 | The physics of exceptional points W. D. Heiss · Journal of Physics A Mathematical and Theoretical | 23 Oct 2012 | 1,478 |
| 48 | Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions Erik Balslev, J. M. Combes · Communications in Mathematical Physics | Dec 1971 | 1,447 |
| 49 | Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials Kari E. Laasonen, Alfredo Pasquarello, Roberto Car et al. · Physical review. B, Condensed matter | 15 Apr 1993 | 1,446 |
| 50 | Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems Flore K. Kunst, Elisabet Edvardsson, Jan Carl Budich et al. · Physical Review Letters | 11 Jul 2018 | 1,416 |
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.