Vacuum Energy as Spectral Geometry

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2007
• 1. Verfasser: Fulling, S.A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147208
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Vacuum Energy as Spectral Geometry / S.A. Fulling // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 60 назв. — англ.

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...