Application of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering states

DOI10.1063/1.2063168zbMath1111.81147arXivquant-ph/0506094OpenAlexW2079638992MaRDI QIDQ3438613

Ali Mostafazadeh

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0506094

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (6)

Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation ⋮ Spectral Singularities and CPA-Laser Action in a Weakly Nonlinear PT-Symmetric Bilayer Slab ⋮ The generalized \(PT\) -symmetric sinh-gordon potential solvable within quantum Hamilton-Jacobi formalism ⋮ Biorthogonal quantum systems ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: γ-deformed su(2) generators, PT -symmetry in Fock space and Higgs algebra

Cites Work

• Unnamed Item
• Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Quantum mechanics of Klein--Gordon-type fields and quantum cosmology.
• Complex Extension of Quantum Mechanics
• ExactPT-symmetry is equivalent to Hermiticity
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
• 𝓟𝓣-symmetric quantum mechanics
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Pseudo-Hermiticity and generalized PT- and CPT-symmetries
• On the pseudo-Hermitian nondiagonalizable Hamiltonians
• Pseudounitary operators and pseudounitary quantum dynamics
• PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES
• -symmetric cubic anharmonic oscillator as a physical model

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