Vacuum Energy as Spectral Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Vacuum Energy as Spectral Geometry
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| Creator |
Fulling, S.A.
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| Description |
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.
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| Date |
2019-02-13T19:05:47Z
2019-02-13T19:05:47Z 2007 |
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| Type |
Article
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| Identifier |
Vacuum Energy as Spectral Geometry / S.A. Fulling // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 60 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 34B27; 81Q10; 58J50 http://dspace.nbuv.gov.ua/handle/123456789/147208 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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