- 97-63 Bleher P.
- Trace Formula for Quantum Integrable Systems, Lattice-Point Problem,
and Small Divisors
Feb 11, 97
(auto. generated ps),
of related papers
Abstract. We review rigorous results concerning almost periodicity by
Besicovitch of the spectral function of quantum integrable systems,
lattice point-problem in convex and nonconvex domains,
trace formula, and a related problem of small divisors. This includes
the following subjects:
(i) Semiclassical quantization by Einstein-Brillouin-Keller and the
problem of completeness of semiclassical eigenfunctions.
(ii) The lattice-point problem.
(iii) The Gutzwiller-Berry-Tabor trace formula for quantum integrable
(iv) The problem of small divisors.
(v) The saturation phenomenon.