Effective Equations of Motion for Quantum Systems

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dc.creatorBojowald, Martin
dc.creatorSkirzewski, Aureliano
dc.date2005-11-11
dc.date2006-06-23
dc.date.accessioned2026-07-07T06:50:29Z
dc.date.available2026-07-07T06:50:29Z
dc.descriptionIn many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and geometrical picture is developed and shown to agree with effective action results, commonly derived through path integration, for perturbations around a harmonic oscillator ground state. The same methods are used to describe dynamical coherent states, which in turn provide means to compute quantum corrections to the symplectic structure of an effective system.
dc.description31 pages; v2: a new example, new references
dc.identifierhttps://arxiv.org/abs/math-ph/0511043
dc.identifierhttp://arxiv.org/abs/math-ph/0511043
dc.identifierRev.Math.Phys. 18 (2006) 713-746
dc.identifierdoi:10.1142/S0129055X06002772
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104684
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleEffective Equations of Motion for Quantum Systems
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