Quantum chaos of the hadamard-gutzwiller model

R. Aurich*, M. Sieber, F. Steiner

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

86 Citations (Scopus)


We present a theory of quantum chaos of the Hadamard-Gutzwiller model, a quantum mechanical system which describes the motion of a particle on a surface of constant negative curvature. The theory is based on periodic-orbit sum rules that can be rigorously derived from the Selberg trace formula and which provide an exact substitute, appropriate for our strongly chaotic system, for the Bohr-Sommerfeld-Einstein quantization rules. Our recent enumeration of the classical periodic orbits enables us to evaluate the sum rules numerically and to demonstrate thereby that the theory provides also a practical method to study the quantum chaos of spectra.

Original languageEnglish
Pages (from-to)483-487
Number of pages5
JournalPhysical Review Letters
Issue number5
Publication statusPublished - 1988


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