Pseudo-Hermiticity and generalized PT- and CPT-symmetries

From MaRDI portal
Publication:4832925

DOI10.1063/1.1539304zbMath1061.81076arXivmath-ph/0209018OpenAlexW2128925589MaRDI QIDQ4832925

Ali Mostafazadeh

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0209018




Related Items (47)

Pseudo-Hermitian systems with \(\mathcal {PT}\)-symmetry: degeneracy and Krein spaceDifferential realization of pseudo-Hermiticity: A quantum mechanical analog of Einstein’s field equationIs weak pseudo-Hermiticity weaker than pseudo-Hermiticity?A NOTE ON THE INTEGRABILITY OF NON-HERMITIAN EXTENSIONS OF CALOGERO–MOSER–SUTHERLAND MODELSNegativity as entanglement degree of a non-Hermitian modelFrom generalized Dirac equations to a candidate for dark energyKrein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-HermiticityOn some meaningful inner product for real Klein-Gordon fields with positive semi-definite normPseudounitary operators and pseudounitary quantum dynamicsPoint interactions, metamaterials, and \(\mathcal{PT}\)-symmetryQuantum mechanics of a photonMinimum uncertainty wavelets in non-relativistic super-symmetric quantum mechanicsPseudo-Hermitian interaction between an oscillator and a spin-1/2 particle in an external magnetic field: a path integral approachQuantum graphs: PT-symmetry and reflection symmetry of the spectrumAnharmonic oscillators in the complex plane, \(\mathcal{PT}\)-symmetry, and real eigenvaluesQuantum mechanics of Klein--Gordon-type fields and quantum cosmology.Optimal time evolution for pseudo-Hermitian HamiltoniansNonlocal reductions of the Ablowitz-Ladik equationNonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spacesClassical oscillator with position-dependent mass in a complex domainFirst-order intertwining operators with position dependent mass and \(\eta\)-weak-pseudo-hermiticity generators\((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetricPT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformationBiorthogonal quantum systemsOn the generation of non-Hermitian Hamiltonians with real spectra by a modified Darboux transformCoherent states of non-Hermitian quantum systemsReal description of classical Hamiltonian dynamics generated by a complex potentialQuantum mechanics of Proca fields\(p\)-adic Schrödinger-type operator with point interactions\({\mathcal{PT}}\) symmetry vs. hermiticityParity-time \((\mathcal{PT})\) invariance and pseudo-Hermitian Hamiltonian of a nonlinear oscillatorWhy is quantum physics based on complex numbers?<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math>-symmetric brachistochrone problem, Lorentz boosts, and nonunitary operator equivalence classesPSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS\(\eta \)-weak-pseudo-hermiticity generators and radially symmetric HamiltoniansLower bound of minimal time evolution in quantum mechanicsThe \(N\)-wave equations with \(\mathcal{PT}\) symmetrySpherical-separability of non-Hermitian Hamiltonians and pseudo-\(\mathcal{PT}\)-symmetryA PHYSICAL REALIZATION OF THE GENERALIZED PT-, C-, AND CPT-SYMMETRIES AND THE POSITION OPERATOR FOR KLEIN–GORDON FIELDSCOHERENT STATES AND SCHWINGER MODELS FOR PSEUDO GENERALIZATION OF THE HEISENBERG ALGEBRAPseudo-Hermiticity, $$\mathcal{P}\mathcal{T}$$ symmetry, and the metric operatorPseudo-Hermitian Supersymmetry: A Brief ReviewAn alternative construction of the positive inner product for pseudo-Hermitian Hamiltonians: ExamplesDARBOUX TRANSFORMATION FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION WITH NON-HERMITIAN INTERACTIONApplication of pseudo-Hermitian quantum mechanics to a PT-symmetric Hamiltonian with a continuum of scattering statesMonopoles in non-Hermitian systemsHybrid form of quantum theory with non-Hermitian Hamiltonians



Cites Work


This page was built for publication: Pseudo-Hermiticity and generalized PT- and CPT-symmetries