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Works cited by this work

45 works

Work: Quantum dynamics of a parity-time-symmetric kicked particle in a 1D box

  1. Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

    Carl M. Bender, Stefan Boettcher

    Article199818 citations
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  2. Simple models of quantum chaos: Spectrum and eigenfunctions

    F. M. Izrailev

    Article199013 citations
    ABI

  3. Making sense of non-Hermitian Hamiltonians

    Carl M Bender

    Article200712 citations
    ABI

  4. Observation of parity–time symmetry in optics

    Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy +3

    Article201010 citations
    ABI

  5. Nonlinear waves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric systems

    V. V. Konotop, Jianke Yang, Dmitry A. Zezyulin

    Article20169 citations
    ABI

  6. Integrable Nonlocal Nonlinear Schrödinger Equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20138 citations
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  7. Stochastic behavior of a quantum pendulum under a periodic perturbation

    Giulio Casati, B. V. Chirikov, F.M. Izraelev +1

    ChapterQuantum chaos and dynamical systemsLecture notes in physics20067 citations
    ABI

  8. Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

    Mark J. Ablowitz, Ziad H. Musslimani

    Article20167 citations
    ABI

  9. Theory of coupled optical PT-symmetric structures

    Ramy El‐Ganainy, Konstantinos G. Makris, Demetrios N. Christodoulides +1

    Article20076 citations
    ABI

  10. 𝓟𝓣-symmetric quantum mechanics

    Carl M. Bender, Stefan Boettcher, Peter N. Meisinger

    Article19995 citations
    ABI

  11. Complex Extension of Quantum Mechanics

    Carl M. Bender, Dorje C. Brody, H. F. Jones

    Article20025 citations
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  12. Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

    Ali Mostafazadeh

    Article20025 citations
    ABI

  13. Accelerator modes of square well system

    R. Sankaranarayanan, V B Sheorey

    Article20055 citations
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  14. Scalar Quantum Field Theory with a Complex Cubic Interaction

    Carl M. Bender, Dorje C. Brody, H. F. Jones

    Article20044 citations
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  15. <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-symmetry in honeycomb photonic lattices

    Alexander Szameit, Mikael C. Rechtsman, Omri Bahat-Treidel +1

    Article20114 citations
    ABI

  16. Solitary Waves of a &lt;inline-formula&gt; &lt;tex-math notation="LaTeX"&gt;$\mathcal {P}$&lt;/tex-math&gt; &lt;/inline-formula&gt;&lt;inline-formula&gt; &lt;tex-math notation="LaTeX"&gt;$\mathcal {T}$&lt;/tex-math&gt; &lt;/inline-formula&gt;-Symmetric Nonlinear Dirac Equation

    Jesús Cuevas–Maraver, P. G. Kevrekidis, Avadh Saxena +4

    Article20153 citations
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  17. symmetry and necessary and sufficient conditions for the reality of energy eigenvalues

    Carl M. Bender, Philip D. Mannheim

    Article20103 citations
    ABI

  18. Conjecture on the interlacing of zeros in complex Sturm–Liouville problems

    Carl M. Bender, Stefan Boettcher, Van M. Savage

    Article20003 citations
    ABI

  19. Exactly solvable<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-symmetric Hamiltonian having no Hermitian counterpart

    Carl M. Bender, Philip D. Mannheim

    Article20083 citations
    ABI

  20. Must a Hamiltonian be Hermitian?

    Carl M. Bender, Dorje C. Brody, Hugh F. Jones

    Article20033 citations
    ABI

  21. -symmetric versus Hermitian formulations of quantum mechanics

    Carl M. Bender, Junhua Chen, Kimball A. Milton

    Article20063 citations
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  22. Exact<i>PT</i>-symmetry is equivalent to Hermiticity

    Ali Mostafazadeh

    Article20033 citations
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  23. Comment on a recent paper by Mezincescu

    Carl M. Bender, Qinghai Wang

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  24. Quantum star-graph analogues of PT -symmetric square wells: Part II, spectra

    Miloslav Znojil

    Article20143 citations
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  25. Two-point Green's function in -symmetric theories

    Carl M. Bender, Stefan Boettcher, Peter N. Meisinger +1

    Article20023 citations
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