Periodic Orbit Quantization beyond Semiclassics
classification
chao-dyn
cond-matnlin.CD
keywords
hbarorbitperiodicquantizationquantumtheoryapplybeyond
read the original abstract
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher $\hbar$ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first $\hbar$ contribution to the exact quantum mechanical results.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.