Nonlinear Dynamics of Quantum Systems and Soliton Theory

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dc.creatorBettelheim, Eldad
dc.creatorAbanov, Alexander G.
dc.creatorWiegmann, Paul
dc.date2006-05-02
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:48:52Z
dc.date.available2026-07-07T07:48:52Z
dc.descriptionWe show that space-time evolution of one-dimensional fermionic systems is described by nonlinear equations of soliton theory. We identify a space-time dependence of a matrix element of fermionic systems related to the {\it Orthogonality Catastrophe} or {boundary states} with the $τ$-function of the modified KP-hierarchy. The established relation allows to apply the apparatus of soliton theory to the study of non-linear aspects of quantum dynamics. We also describe a {\it bosonization in momentum space} - a representation of a fermion operator by a Bose field in the presence of a boundary state.
dc.descriptionSome corrections made
dc.identifierhttps://arxiv.org/abs/nlin/0605006
dc.identifierhttp://arxiv.org/abs/nlin/0605006
dc.identifierJ.Phys. A40 (2007) F193-F208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124648
dc.subjectExactly Solvable and Integrable Systems
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleNonlinear Dynamics of Quantum Systems and Soliton Theory
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