A Lie algebraic study of some Schrödinger equations

DOI10.1063/1.530765zbMath0819.35115OpenAlexW2000643298MaRDI QIDQ4327254

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Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530765

zbMATH Keywords

Hamiltoniansimilarity transformationsbound-state solutionsquasiexact solutions

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40)

Related Items (1)

Coupled harmonic oscillator systems: An elementary algebraic decoupling approach

Cites Work

• Quasi-exactly-solvable problems and sl(2) algebra
• A unified treatment of Schrodinger's equation for anharmonic and double well potentials
• On the elementary Schrödinger bound states and their multiplets
• Quasi-exactly-solvable models from finite-dimensional matrices

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