On the spectra of a class of PT-symmetric quantum nonlinear oscillators

DOI10.1007/s10582-005-0109-8zbMath1465.81035OpenAlexW2051461845MaRDI QIDQ5000480

Emanuela Caliceti

Publication date: 14 July 2021

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

Full work available at URL: https://doi.org/10.1007/s10582-005-0109-8

zbMATH Keywords

real spectrumrelatively bounded perturbation\(\mathcal{PT}\)-symmetric oscillators

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Cites Work

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• On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
• Two-dimensional SUSY-pseudo-Hermiticity without separation of variables
• P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians
• Schrödinger operators with complex potential but real spectrum
• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• Must a Hamiltonian be Hermitian?
• Generalized PT symmetry and real spectra
• Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
• Spectra ofPT-symmetric operators and perturbation theory
• 𝓟𝓣-symmetric quantum mechanics
• On a Class of Non Self-Adjoint Quantum Nonlinear Oscillators with Real Spectrum
• Supersymmetry without Hermiticity within \(\mathcal{PT}\) symmetric quantum mechanics

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