Periodic Orbit Quantization beyond Semiclassics

Gabor Vattay; Per E. Rosenqvist

doi:10.1103/physrevlett.76.335

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arXiv · chao-dyn/9509015

Periodic Orbit Quantization beyond Semiclassics

Gabor Vattay·Per E. Rosenqvist

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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.

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Gabor Vattay, Per E. Rosenqvist. 1995-11-17. Periodic Orbit Quantization beyond Semiclassics. https://doi.org/10.1103/physrevlett.76.335

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