Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics

DOI10.1016/j.physletb.2006.01.022zbMath1247.81234arXivquant-ph/0512055OpenAlexW2062142239MaRDI QIDQ454024

Hendrik B. Geyer, Frederik G. Scholtz

Publication date: 30 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0512055

zbMATH Keywords

Moyal productnon-Hermitian Hamiltonian

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Geometry and quantization, symplectic methods (81S10)

Related Items (9)

Differential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equation ⋮ Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity ⋮ THE METRIC OPERATORS FOR PSEUDO-HERMITIAN HAMILTONIAN ⋮ Quasi-Hermitian quantum mechanics in phase space ⋮ Green functions for the wrong-sign quartic ⋮ Construction of a unique metric in quasi-Hermitian quantum mechanics: nonexistence of the charge operator in a \(2\times2\) matrix model ⋮ Conditional observability ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Exact solution of D N-type quantum Calogero model through a mapping to free harmonic oscillators

Cites Work

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• Trigonometric structure constants for new infinite-dimensional algebras
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Must a Hamiltonian be Hermitian?
• On the Quantum Correction For Thermodynamic Equilibrium
• On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Transition elements for a non-Hermitian quadratic Hamiltonian

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