Periodic Orbit Quantization beyond Semiclassics

Details Periodic Orbit Quantization beyond Semiclassics Periodic Orbit Quantization beyond Semiclassics

1995-09-20

arxiv.org/abs/chao-dyn/9509015v3

Phys. Rev. Lett. 76, 335 (1996)

Physics

Condensed Matter

revtex

Scientific paper

10.1103/PhysRevLett.76.335

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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