### Abstract

A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

Original language | English |
---|---|

Pages (from-to) | 335-339 |

Number of pages | 5 |

Journal | Physical Review Letters |

Volume | 76 |

Issue number | 3 |

Publication status | Published - 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*76*(3), 335-339.

**Periodic orbit quantization beyond the semiclassical theory.** / Vattay, G.; Rosenqvist, Per E.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 76, no. 3, pp. 335-339.

}

TY - JOUR

T1 - Periodic orbit quantization beyond the semiclassical theory

AU - Vattay, G.

AU - Rosenqvist, Per E.

PY - 1996

Y1 - 1996

N2 - A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

AB - A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher ℏ contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first ℏ contribution to the exact quantum mechanical results.

UR - http://www.scopus.com/inward/record.url?scp=0001608032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001608032&partnerID=8YFLogxK

M3 - Article

VL - 76

SP - 335

EP - 339

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

ER -