Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator

DOI10.1088/1751-8113/48/5/055301zbMath1308.81094arXiv1409.6456OpenAlexW2114859308MaRDI QIDQ5175208

Eva-Maria Graefe, Alexander M. Rush, Roman Schubert, Hans Jürgen Korsch

Publication date: 20 February 2015

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

Full work available at URL: https://arxiv.org/abs/1409.6456

zbMATH Keywords

quantum dynamicssemiclassical methodsnon-Hermitian systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (9)

Pseudospectra in non-Hermitian quantum mechanics ⋮ The norm of the non-self-adjoint harmonic oscillator semigroup ⋮ The pseudo Hermitian invariant operator and time-dependent non-Hermitian Hamiltonian exhibiting a SU(1,1) and SU(2) dynamical symmetry ⋮ Non-Hermitian propagation of Hagedorn wavepackets ⋮ New 1-step extension of the Swanson oscillator and superintegrability of its two-dimensional generalization ⋮ Time-dependent pseudo-bosonic coherent states ⋮ Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator ⋮ Segal-Bargmann transforms from hyperbolic Hamiltonians ⋮ Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets

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