Weyl series and the trace formula: A prescription for adding them
| Autor: | Matthias Brack, Rajat K. Bhaduri, Niall D. Whelan, M. V. N. Murthy, H. G. Miller |
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| Rok vydání: | 1999 |
| Předmět: |
Physics
Trace (linear algebra) Dynamical systems theory Series (mathematics) 01 natural sciences Atomic and Molecular Physics and Optics 010305 fluids & plasmas Theoretical physics Classical mechanics 0103 physical sciences Density of states Periodic orbits Dynamical billiards 010306 general physics Spurious relationship |
| Zdroj: | Physical Review A. 59:R911-R914 |
| ISSN: | 1094-1622 1050-2947 |
| DOI: | 10.1103/physreva.59.r911 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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