The analytical transfer matrix method for PT-symmetric complex potential
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Publication:5369589
DOI10.1142/S0217732317501206zbMath1372.81062OpenAlexW2728206073MaRDI QIDQ5369589
Publication date: 18 October 2017
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217732317501206
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Cites Work
- Variational ansatz for PT-symmetric quantum mechanics
- Spectral analysis of the complex cubic oscillator
- Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians
- Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
- Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes
- Morse potential, symmetric Morse potential and bracketed bound-state energies
- Exponential Type Complex and Non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
- 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
- Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian
- Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
- A class of exactly-solvable eigenvalue problems
- 𝓟𝓣-symmetric quantum mechanics
- Advances in One-Dimensional Wave Mechanics
- Quantum complex Hénon-Heiles potentials
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