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Mathematical problems in the theory of quantum chaos

Part of the Lecture Notes in Mathematics book series (LNM,volume 1469)

Keywords

  • Weak Limit
  • Geodesic Flow
  • Quantum Chaos
  • Diagonal Operator
  • Poisson Limit

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References

  1. M.V. Berry and M. Tabor. Proc. Roy. Soc. A 349 (1976), 101–123.

    CrossRef  MathSciNet  Google Scholar 

  2. L.D. Landau, E.M. Lifschitz. Quantum Mechanics.

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  3. Ya.G. Sinai, Poisson Distribution in a Geometrical Problem. Advances in Soviet Mathematics, Publications of AMS (in press).

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  4. G. Casati, B.V. Chirikov, J. Ford, F.M. Izraelev, in: Stochastic Behaviour in Classical and Quantum Hamiltonian Systems, eds., G. Casati, J. Ford. Lecture Notes in Physics, 93, Springer-Verlag, p. 334–352.

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  5. V.F. Lazutkin, Convex Billiard and Eigenfunctions of the Laplace Operator, Publ. Leningrad University, Leningrad, 1981, 196pp. (in Russian).

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© 1991 Springer-Verlag

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Sinai, Y.G. (1991). Mathematical problems in the theory of quantum chaos. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089214

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  • DOI: https://doi.org/10.1007/BFb0089214

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54024-3

  • Online ISBN: 978-3-540-47355-8

  • eBook Packages: Springer Book Archive