Periodic Orbit Quantization beyond Semiclassics
arXiv:chao-dyn/9509015 · doi:10.1103/PhysRevLett.76.335
Abstract
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first contribution to the exact quantum mechanical results.
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