Bi-orthogonal approach to non-Hermitian Hamiltonians with the oscillator spectrum: generalized coherent states for nonlinear algebras
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Publication:1704249
DOI10.1016/j.aop.2017.10.020zbMath1382.81118arXiv1706.04684OpenAlexW2625817307WikidataQ114209557 ScholiaQ114209557MaRDI QIDQ1704249
Kevin Zelaya, Oscar Rosas-Ortiz
Publication date: 9 March 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.04684
Coherent states (81R30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
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Cites Work
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- Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18--23, 2015
- The Kronecker product in terms of Hubbard operators and the Clebsch-Gordan decomposition of \(\mathrm{SU}(2)\times\mathrm{SU}(2)\)
- Pseudo-bosons, so far
- The action option and a Feynman quantization of spinor fields in terms of ordinary \(C\)-numbers
- Coherent states of non-Hermitian quantum systems
- Schrödinger operators with complex potential but real spectrum
- Nonlinear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I: General properties
- New 'coherent' states associated with non-compact groups
- Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Non-Hermitian Quantum Mechanics
- Factorization method and new potentials with the oscillator spectrum
- On a Hilbert space of analytic functions and an associated integral transform part I
- Roy J. Glauber – One hundred years of light quanta
- On the geometry of spatial biphoton correlation in spontaneous parametric down conversion
- New supersymmetry-generated complex potentials with real spectra
- CREATION AND ANNIHILATION OPERATORS AND COHERENT STATES FOR THE PT-SYMMETRIC OSCILLATOR
- Biorthogonal quantum systems
- Fock - Bargmann representation of the distorted Heisenberg algebra
- Non-Hermitian SUSY hydrogen-like Hamiltonians with real spectra
- New exactly solvable isospectral partners for symmetric potentials
- Factorization: little or great algorithm?
- 𝓟𝓣-symmetric quantum mechanics
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Distorted Heisenberg algebra and coherent states for isospectral oscillator Hamiltonians
- Coherent states for isospectral oscillator Hamiltonians
- Nonlinear supersymmetric quantum mechanics: concepts and realizations
- SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
- Photon-added coherent states as nonlinear coherent states
- Coherent states for Hamiltonians generated by supersymmetry
- Biorthogonal quantum mechanics
- Non-Hermitian quantum mechanics of non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
- Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics
- General forms of a \(N\)-fold supersymmetric family
- \(N\)-fold supersymmetry in quantum mechanics: general formalism
- Supersymmetric generated complex potential with complete real spectrum
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