Bhaduri, R. K. and Whelan, N. D. and Brack, Matthias and Miller, H. G. and Murthy, M. V. N. (1999) Weyl series and the trace formula: A prescription for adding them. PHYSICAL REVIEW A, 59 (2). R911-R914. ISSN 1050-2947,
Full text not available from this repository.Abstract
Periodic orbit expressions for the density of states lead to spurious results when directly used to calculate quantities of thermodynamic interest. This is because the trace formula is usually valid only for large energies, while the calculations make use of it at all energies. We present a prescription for circumventing this problem by isolating contributions that arise from the inaccurate low-energy behavior, and that are spurious, from other subdominant contributions that are physical and are not contained in the Weyl series. The method is tested by analyzing the fermionic grand partition function for a disk billiard, and may readily be extended to other dynamical systems. [S1050-2947(99)50102-9].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBIT QUANTIZATION; WAVE-EQUATION; FINITE DOMAIN; EIGENFREQUENCIES; EXPANSION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Nov 2022 13:58 |
| Last Modified: | 22 Nov 2022 13:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48566 |
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