Non-Hermitian matrix Schr dinger equation: B cklund–Darboux transformation, Weyl functions and symmetry

DOI10.1088/0305-4470/36/28/308zbMath1039.81014OpenAlexW2037334561MaRDI QIDQ4426267

Alexander L. Sakhnovich

Publication date: 16 September 2003

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

Full work available at URL: https://doi.org/10.1088/0305-4470/36/28/308

zbMATH Keywords

Bäcklund-Darboux transformationnon-Hermitian Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (5)

Minimal realizations of supersymmetry for matrix Hamiltonians ⋮ Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics ⋮ Commutation methods for Schrödinger operators with strongly singular potentials ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS

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