Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/BF02108334.pdf
Reference23 articles.
1. Berry, M.V., Mount, K.E.: Semiclassical approximations in wave mechanics. Rep. Progr. Phys.35, 315–397 (1972)
2. Berry, M.V., Tabor, M.: Closed orbits and the regular bound spectrum. Proc. R. Soc. Lond.A349, 101–123 (1976)
3. Bleher, P.M.: Quasiclassical expansion and the problem of quantum chaos. Lect. Notes in Math1469, 60–89 (1991)
4. Bleher, P.M.: On the distribution of the number of lattice points inside a family of convex ovals. Duke Math. J.67, 461–481 (1993)
5. Bleher, P.M.: Distribution of the error in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems. Duke Math. J.70, 655–682 (1993)
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