A closed form solution for quantum oscillator perturbations using Lie algebras

DOI10.4303/JPM/P101201zbMath1264.81168OpenAlexW2128687997MaRDI QIDQ1953134

Clark Alexander

Publication date: 7 June 2013

Published in: Journal of Physical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4303/jpm/p101201

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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