Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems

DOI10.1088/1751-8121/ab0335OpenAlexW2899223804WikidataQ128453758 ScholiaQ128453758MaRDI QIDQ5052236

Julia Cen, Thomas Frith, Andreas Fring

Publication date: 24 November 2022

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

Full work available at URL: https://arxiv.org/abs/1811.00149

zbMATH Keywords

PT-symmetryDarboux transformationstime-dependent Schrödinger equationLewis-Riesenfeld invariantsnon-Hermitian systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Lewis–Riesenfeld invariants for PT-symmetrically coupled oscillators from two-dimensional point transformations and Lie algebraic expansions ⋮ Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method ⋮ Quantum surfing ⋮ Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators ⋮ Exactly solvable time-dependent non-Hermitian quantum systems from point transformations ⋮ Supersymmetric relativistic quantum mechanics in time-domain ⋮ Time-dependent \(\mathcal{C}\)-operators as Lewis-Riesenfeld invariants in non-Hermitian theories ⋮ Infinite series of time-dependent Dyson maps

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