Quantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry

DOI10.1088/1751-8113/44/30/305305zbMath1221.81064arXiv1108.0106OpenAlexW1996002307MaRDI QIDQ3088229

Özlem Yeşiltaş

Publication date: 19 August 2011

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

Full work available at URL: https://arxiv.org/abs/1108.0106

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry in quantum theory (81R60) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (6)

Swanson Hamiltonian: non-PT-symmetry phase ⋮ A quantum quasi-harmonic nonlinear oscillator with an isotonic term ⋮ Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ Solvable potentials with exceptional orthogonal polynomials ⋮ Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator ⋮ A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework

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