Semiclassical approximation to the partition function of a particle in D dimensions

Details Semiclassical approximation to the partition function of a particle in D dimensions Semiclassical approximation to the partition function of a particle in D dimensions

1999-10-13

arxiv.org/abs/quant-ph/9910055v2

Phys.Rev. E61 (2000) 6392

Physics

Quantum Physics

REVTEX,14 pages, 2 figures, final version to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.61.6392

We use a path integral formalism to derive the semiclassical series for the partition function of a particle in D dimensions. We analyze in particular the case of attractive central potentials, obtaining explicit expressions for the fluctuation determinant and for the semiclassical two-point function in the special cases of the harmonic and single-well quartic anharmonic oscillators. The specific heat of the latter is compared to precise WKB estimates. We conclude by discussing the possible extension of our results to field theories.

Affiliated with

Also associated with

No associations

Rating

Semiclassical approximation to the partition function of a particle in D dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiclassical approximation to the partition function of a particle in D dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical approximation to the partition function of a particle in D dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105975