Asymptotic heat kernel expansion in the semi-classical limit
- Let H-h = h(2)L + V, where L is a self-adjoint Laplace type operator acting on sections of a vector bundle over a compact Riemannian manifold and V is a symmetric endomorphism field. We derive an asymptotic expansion for the heat kernel of H-h as h SE arrow 0. As a consequence we get an asymptotic expansion for the quantum partition function and we see that it is asymptotic to the classical partition function. Moreover, we show how to bound the quantum partition function for positive h by the classical partition function.
| Author details: | Christian BärORCiDGND, Frank Pfaeffle |
|---|---|
| URL: | http://www.springerlink.com/content/100467 |
| DOI: | https://doi.org/10.1007/s00220-009-0973-3 |
| ISSN: | 0010-3616 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Communications in mathematical physics. - ISSN 0010-3616. - 294 (2010), 3, S. 731 - 744 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
