Vacuum Energy as Spectral Geometry

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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, 2007, том 3
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік
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dc.contributor.author	Fulling, S.A.
dc.date.accessioned	2019-02-13T19:05:47Z
dc.date.available	2019-02-13T19:05:47Z
dc.date.issued	2007
dc.identifier.citation	Vacuum Energy as Spectral Geometry / S.A. Fulling // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 60 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 34B27; 81Q10; 58J50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147208
dc.description.abstract	Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. The relations among local spectral densities, energy densities, global eigenvalue densities, and total energies are demonstrated. This material provides background and motivation for the treatment of higher-dimensional systems (self-adjoint second-order partial differential operators) by semiclassical approximation and other methods.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This work has been supported by the National Science Foundation under Grants DMS-0405806 and PHY-0554849.	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	Vacuum Energy as Spectral Geometry	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA