Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework

DOI10.1088/0305-4470/39/6/L01zbMath1091.81022arXivquant-ph/0511182OpenAlexW2013229818MaRDI QIDQ3379293

Rajkumar Roychoudhury, Bijan K. Bagchi, Christiane Quesne

Publication date: 6 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0511182

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (8)

Entropy-growth in the universe: some plausible scenarios ⋮ Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation ⋮ \(\mathcal{PT}\)-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach ⋮ Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity ⋮ Oscillator-Morse–Coulomb mappings and algebras for constant or position-dependent mass ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Complementarity vs coordinate transformations: Mapping between pseudo-Hermiticity and weak pseudo-Hermiticity ⋮ MORSE POTENTIAL AND ITS RELATIONSHIP WITH THE COULOMB IN A POSITION-DEPENDENT MASS BACKGROUND

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