An Entire Spectral Determinant for Semiclassical Quantization
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schr\"odinger equation can be computed from the trace of a classical operator. The derived trace formula is different from the Gutzwiller trace formula.
Keywords
Cite
@article{arxiv.chao-dyn/9311004,
title = {An Entire Spectral Determinant for Semiclassical Quantization},
author = {Gabor Vattay},
journal= {arXiv preprint arXiv:chao-dyn/9311004},
year = {2009}
}
Comments
8 pages, latex, no figure