For a class of quasi-integrable mechanical systems, we show that in the semiclassical limit the Bohr-Sommerfeld quantization applied to successive truncations of the Birkhoff series and a power series expansion of Weyl's formula give the same asymptotic number of states below a given energy.
On the semiclassical density of states of quasi-integrable mechanical systems
ISOLA, Stefano;
1993-01-01
Abstract
For a class of quasi-integrable mechanical systems, we show that in the semiclassical limit the Bohr-Sommerfeld quantization applied to successive truncations of the Birkhoff series and a power series expansion of Weyl's formula give the same asymptotic number of states below a given energy.File in questo prodotto:
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