A PERTURBATIVE TREATMENT OF A GENERALIZED $\mathcal{PT}$-SYMMETRIC QUARTIC ANHARMONIC OSCILLATOR
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Publication:5715604
DOI10.1142/S0217732305018475zbMath1086.81507arXivquant-ph/0502163OpenAlexW2117665795MaRDI QIDQ5715604
Publication date: 4 January 2006
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0502163
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15)
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Cites Work
- Perturbation theory of odd anharmonic oscillators
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Quasi-Hermiticity in infinite-dimensional Hilbert spaces
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- On the quantum mechanics of complex Hamiltonian systems in one dimension
- Complex Extension of Quantum Mechanics
- Equivalence of unstable anharmonic oscillators and double wells
- Calculation of the hidden symmetry operator in -symmetric quantum mechanics
- Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
- Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
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