Hamiltonian Systems Inspired by the Schrödinger Equation

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dc.contributor.authorKovalchuk, V.
dc.contributor.authorSlawianowski, J.J.
dc.date.accessioned2019-02-19T13:11:50Z
dc.date.available2019-02-19T13:11:50Z
dc.date.issued2008
dc.description.abstractDescribed is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special cases for the free evolution of the wave function with fixed G and the pure dynamics of G are calculated. The usual, first- and second-order modified Schrödinger equations are obtained.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This paper contains results obtained within the framework of the research project 501 018 32/1992 financed from the Scientific Research Support Fund in 2007–2010. The authors are greatly indebted to the Ministry of Science and Higher Education for this financial support. The authors are also very grateful to the referees for their valuable remarks and comments concerning this article.uk_UA
dc.identifier.citationHamiltonian Systems Inspired by the Schrödinger Equation / V. Kovalchuk, J.J. Slawianowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 81P05; 81R05; 81Q99; 37J05; 15A04; 15A63; 15A90; 20G20
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149037
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHamiltonian Systems Inspired by the Schrödinger Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік