Solutions of two-dimensional Schrödinger-type equations in a magnetic field

DOI10.1007/s11232-011-0086-yzbMath1274.81087OpenAlexW1994990147MaRDI QIDQ378527

V. G. Marikhin

Publication date: 12 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11232-011-0086-y

zbMATH Keywords

dressing methodeikonal equationHopf equationquantum operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Differential operators commuting in the principal part

Cites Work

• Two-dimensional rational solitons and their blowup via the Moutard transformation
• Dressing chains and the spectral theory of the Schrödinger operator
• On the theory of Laplace-Darboux transformations
• The dressing method and separation of variables: the two-dimensional case
• Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces
• Unnamed Item

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