Quasi-exactly solvable \(2\times 2\) matrix Schrödinger models

DOI10.1016/S0034-4877(99)80163-3zbMath0964.81025OpenAlexW2044775689MaRDI QIDQ1573830

Stanislav Spichak

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80163-3

zbMATH Keywords

algebra \(sl(2,\mathbb{R})\)nondiagonal spinor representationquasi-exactly solvable \(2\times 2\) Schrödinger models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Unnamed Item
• Quantal problems with partial algebraization of the spectrum
• New quasi-exactly solvable Hamiltonians in two dimensions
• QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES
• Quasi-exactly solvable Lie algebras of differential operators in two complex variables
• Conditional symmetry and spectrum of the one-dimensional Schrödinger equation

This page was built for publication: Quasi-exactly solvable \(2\times 2\) matrix Schrödinger models