Lie algebraic treatment of the quadratic invariants for a quantum system
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Publication:1034452
DOI10.1007/s11232-009-0043-1zbMath1174.81002OpenAlexW2024778773MaRDI QIDQ1034452
M. Sebawe Abdalla, Peter G. L. Leach
Publication date: 6 November 2009
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-009-0043-1
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items (2)
An alternative model of the damped harmonic oscillator under the influence of external force ⋮ Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant
Cites Work
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- Linear and quadratic invariants for the transformed Tavis–Cummings model
- Multiphoton Coherent States and the Linear Superposition Principle
- Wigner functions for time-dependent coupled linear oscillators via linear and quadratic invariant processes
- Wavefunctions for the time-dependent linear oscillator and Lie point symmetries
- Some Group Theoretical Aspects of Nonlinear Quantal Oscillators
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