Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation

DOI10.1063/1.2212668zbMath1112.81036arXivquant-ph/0603023OpenAlexW1967561185WikidataQ115333602 ScholiaQ115333602MaRDI QIDQ3441941

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/0603023

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Is weak pseudo-Hermiticity weaker than pseudo-Hermiticity? ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

Cites Work

• Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics
• Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum.
• Perturbation theory for linear operators.
• Complex Extension of Quantum Mechanics
• Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
• Calculation of the hidden symmetry operator for a -symmetric square well
• Application of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering states
• On the dimensionality of spacetime
• On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Pseudo-Hermiticity and generalized PT- and CPT-symmetries
• PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES
• -symmetric cubic anharmonic oscillator as a physical model
• On Dirac's New Method of Field Quantization
• PT-symmetric square well

This page was built for publication: Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation