PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES
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Publication:5312350
DOI10.1142/S0217732302008009zbMath1083.81522arXivquant-ph/0205003OpenAlexW3101390780MaRDI QIDQ5312350
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Publication date: 31 August 2005
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0205003
Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)
Related Items (10)
Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation ⋮ A positive-definite scalar product for free Proca particle ⋮ Fragile PT-symmetry in a solvable model ⋮ Parity-time \((\mathcal{PT})\) invariance and pseudo-Hermitian Hamiltonian of a nonlinear oscillator ⋮ Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ ${\mathcal{PT}}$-SYMMETRIC SUPERSYMMETRY IN A SOLVABLE SHORT-RANGE MODEL ⋮ $$\mathcal{P}\mathcal{T}$$ -supersymmetric partner of a short-range square well ⋮ Solvable PT-symmetric model with a tunable interspersion of nonmerging levels ⋮ Application of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering states
Cites Work
- PT-symmetric sextic potentials
- \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
- Schrödinger operators with complex potential but real spectrum
- GENERATING COMPLEX POTENTIALS WITH REAL EIGENVALUES IN SUPERSYMMETRIC QUANTUM MECHANICS
- GENERALIZED CONTINUITY EQUATION AND MODIFIED NORMALIZATION IN PT-SYMMETRIC QUANTUM MECHANICS
- SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
- 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
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
- Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
- PT-symmetric square well
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