Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae

Authors:

Pavel M. Bleher Denis V. Kosygin Yakov G. Sinai

Affiliation:

1. Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 402 N. Blackford Street, 46202, Indianapolis, IN, USA
2. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

Abstract:

We consider the Weyl asymptotic formula

$# left{ {E_n leqq R^2 } right} = frac{{Area Q}}{{4pi }}R^2 + n(R),$

Keywords:
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