\({\mathcal{PT}}\)-symmetric square well-perturbations and the existence of metric operator

DOI10.1007/S10773-010-0593-XzbMath1216.81068OpenAlexW2033100341MaRDI QIDQ539564

Petr Siegl

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0593-x

zbMATH Keywords

perturbations\({\mathcal{PT}}\)-symmetryexistence of metric operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (5)

Pseudospectra in non-Hermitian quantum mechanics ⋮ Coordinate representation for non-Hermitian position and momentum operators ⋮ On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators ⋮ Non-self-adjoint hamiltonians defined by Riesz bases ⋮ Coupled Susy, pseudo-bosons and a deformed su(1,1) Lie algebra

Cites Work

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• Hilbert space operators in quantum physics
• \(\mathcal {PT}\)-symmetric waveguides
• {\mathcal {PT}}-symmetric models in curved manifolds
• Calculation of the hidden symmetry operator for a -symmetric square well
• SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Closed formula for the metric in the Hilbert space of a -symmetric model
• PT-symmetric square well

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