Lie symmetries of semi-linear Schrödinger equations and applications

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dc.creatorStoimenov, Stoimen
dc.creatorHenkel, Malte
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:54:36Z
dc.date.available2026-07-07T06:54:36Z
dc.descriptionConditional Lie symmetries of semi-linear 1D Schrödinger and diffusion equations are studied if the mass (or the diffusion constant) is considered as an additional variable. In this way, dynamical symmetries of semi-linear Schrödinger equations become related to the parabolic and almost-parabolic subalgebras of a three-dimensional conformal Lie algebra conf_3. The corresponding representations of the parabolic and almost-parabolic subalgebras of conf_3 are classified and the complete list of conditionally invariant semi-linear Schrödinger equations is obtained. Applications to the phase-ordering kinetics of simple magnets and to simple particle-reaction models are briefly discussed.
dc.descriptionLatex 2e, 6 pages, 1 figure, IOP macros, presented the the summer school `Ageing and the glass transition' Luxemburg 18-24 sept 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0512025
dc.identifierhttp://arxiv.org/abs/math-ph/0512025
dc.identifierJ.Phys.Conf.Ser. 40 (2006) 144-149
dc.identifierdoi:10.1088/1742-6596/40/1/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105997
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleLie symmetries of semi-linear Schrödinger equations and applications
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