Complementarity vs coordinate transformations: Mapping between pseudo-Hermiticity and weak pseudo-Hermiticity

DOI10.1063/5.0036401zbMath1468.81046arXiv2011.02995OpenAlexW3171233834MaRDI QIDQ5000217

S.-A. Yahiaoui, Samira Saidani

Publication date: 9 July 2021

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

Full work available at URL: https://arxiv.org/abs/2011.02995

zbMATH Keywords

similarity transformationposition-dependent mass

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Unnamed Item
• Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe
• Bäcklund transformations and their applications
• Pseudo-Hermiticity, weak pseudo-Hermiticity and \(\eta \)-orthogonality condition
• Complex periodic potentials with real band spectra.
• Pseudo-Hermitian systems with \(\mathcal {PT}\)-symmetry: degeneracy and Krein space
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
• Is weak pseudo-Hermiticity weaker than pseudo-Hermiticity?
• GENERALIZED CONTINUITY EQUATION AND MODIFIED NORMALIZATION IN PT-SYMMETRIC QUANTUM MECHANICS
• Weak pseudo-Hermiticity and antilinear commutant
• Solvable potentials associated with su(1,1) algebras: a systematic study
• Pseudo-Hermitian coherent states under the generalized quantum condition with position-dependent mass
• Variational Principle for a Schrödinger Equation with Non-Hermitian Hamiltonian and Position–Dependent Mass
• $\mathcal{P}\mathcal{T}$-symmetric model with an interplay between kinematical and dynamical non-localities
• Closed formula for the metric in the Hilbert space of a -symmetric model
• Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter
• Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians

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