A unified approach to exact solutions of time-dependent Lie-algebraic quantum systems

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dc.creatorShen, Jian Qi
dc.creatorZhu, Hong Yi
dc.creatorChen, Pan
dc.date2003-03-12
dc.date.accessioned2026-07-07T11:36:47Z
dc.date.available2026-07-07T11:36:47Z
dc.descriptionBy using the Lewis-Riesenfeld theory and the invariant-related unitary transformation formulation, the exact solutions of the {\it time-dependent} Schrödinger equations which govern the various Lie-algebraic quantum systems in atomic physics, quantum optics, nuclear physics and laser physics are obtained. It is shown that the {\it explicit} solutions may also be obtained by working in a sub-Hilbert-space corresponding to a particular eigenvalue of the conserved generator ({\it i. e.}, the {\it time-independent} invariant) for some quantum systems without quasi-algebraic structures. The global and topological properties of geometric phases and their adiabatic limit in time-dependent quantum systems/models are briefly discussed.
dc.description11 pages, Latex. accepted by Euro. Phys. J. D
dc.identifierhttps://arxiv.org/abs/quant-ph/0303073
dc.identifierhttp://arxiv.org/abs/quant-ph/0303073
dc.identifierEur.Phys.J.D23:305-313,2003
dc.identifierdoi:10.1140/epjd/e2003-00043-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199037
dc.subjectQuantum Physics
dc.titleA unified approach to exact solutions of time-dependent Lie-algebraic quantum systems
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