Generalized periodic-orbit sum rules for strongly chaotic systems

M. Sieber; F. Steiner

doi:10.1016/0375-9601(90)90692-H

Generalized periodic-orbit sum rules for strongly chaotic systems

M. Sieber^*, F. Steiner

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

49 Citations (Scopus)

Abstract

The periodic-orbit theory of Gutzwiller is the only known semiclassical quantization scheme that can be applied to non-integrable systems. We present a generalized version of this theory that leads to absolutely convergent periodic-orbit sum rules, using as an example strongly chaotic billiard systems.

Original language	English
Pages (from-to)	159-163
Number of pages	5
Journal	Physics Letters A
Volume	144
Issue number	3
DOIs	https://doi.org/10.1016/0375-9601(90)90692-H
Publication status	Published - 26 Feb 1990

Bibliographical note

Funding Information:
* Supported by Deutsche Forschungsgemeinschaft under Contract No. DFG-Ste 241/4-2.

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title = "Generalized periodic-orbit sum rules for strongly chaotic systems",

abstract = "The periodic-orbit theory of Gutzwiller is the only known semiclassical quantization scheme that can be applied to non-integrable systems. We present a generalized version of this theory that leads to absolutely convergent periodic-orbit sum rules, using as an example strongly chaotic billiard systems.",

author = "M. Sieber and F. Steiner",

note = "Funding Information: * Supported by Deutsche Forschungsgemeinschaft under Contract No. DFG-Ste 241/4-2.",

year = "1990",

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AU - Sieber, M.

AU - Steiner, F.

N1 - Funding Information: * Supported by Deutsche Forschungsgemeinschaft under Contract No. DFG-Ste 241/4-2.

PY - 1990/2/26

Y1 - 1990/2/26

N2 - The periodic-orbit theory of Gutzwiller is the only known semiclassical quantization scheme that can be applied to non-integrable systems. We present a generalized version of this theory that leads to absolutely convergent periodic-orbit sum rules, using as an example strongly chaotic billiard systems.

AB - The periodic-orbit theory of Gutzwiller is the only known semiclassical quantization scheme that can be applied to non-integrable systems. We present a generalized version of this theory that leads to absolutely convergent periodic-orbit sum rules, using as an example strongly chaotic billiard systems.

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U2 - 10.1016/0375-9601(90)90692-H

DO - 10.1016/0375-9601(90)90692-H

M3 - Article (Academic Journal)

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SN - 0375-9601

VL - 144

SP - 159

EP - 163

JO - Physics Letters A

JF - Physics Letters A

IS - 3

ER -

Generalized periodic-orbit sum rules for strongly chaotic systems

Abstract

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