Vacuum Energy as Spectral Geometry
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 eigenvalu...
Збережено в:
| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147208 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Vacuum Energy as Spectral Geometry / S.A. Fulling // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 60 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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|---|---|
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dspace |
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irk-123456789-1472082019-02-14T01:27:11Z Vacuum Energy as Spectral Geometry Fulling, S.A. 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Fulling, S.A. |
| spellingShingle |
Fulling, S.A. Vacuum Energy as Spectral Geometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Fulling, S.A. |
| author_sort |
Fulling, S.A. |
| title |
Vacuum Energy as Spectral Geometry |
| title_short |
Vacuum Energy as Spectral Geometry |
| title_full |
Vacuum Energy as Spectral Geometry |
| title_fullStr |
Vacuum Energy as Spectral Geometry |
| title_full_unstemmed |
Vacuum Energy as Spectral Geometry |
| title_sort |
vacuum energy as spectral geometry |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147208 |
| citation_txt |
Vacuum Energy as Spectral Geometry / S.A. Fulling // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 60 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT fullingsa vacuumenergyasspectralgeometry |
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2023-05-20T17:26:59Z |
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2023-05-20T17:26:59Z |
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