Hamiltonian Systems Inspired by the Schrödinger Equation

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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dc.contributor.author	Kovalchuk, V.
dc.contributor.author	Slawianowski, J.J.
dc.date.accessioned	2019-02-19T13:11:50Z
dc.date.available	2019-02-19T13:11:50Z
dc.date.issued	2008
dc.identifier.citation	Hamiltonian 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.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 81P05; 81R05; 81Q99; 37J05; 15A04; 15A63; 15A90; 20G20
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149037
dc.description.abstract	Described 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Hamiltonian Systems Inspired by the Schrödinger Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA