Abstract
Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.
| Original language | English |
|---|---|
| Pages (from-to) | 380-385 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 352 |
| Issue number | 4-5 |
| DOIs | |
| Publication status | Published - 2006 Apr 3 |
| Externally published | Yes |
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Keywords
- Periodic orbit theory
- Quantum chaos
- Random matrices
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Spectral form factor for chaotic dynamics in a weak magnetic field. / Saitou, Keiji; Nagao, Taro.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 352, No. 4-5, 03.04.2006, p. 380-385.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spectral form factor for chaotic dynamics in a weak magnetic field
AU - Saitou, Keiji
AU - Nagao, Taro
PY - 2006/4/3
Y1 - 2006/4/3
N2 - Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.
AB - Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.
KW - Periodic orbit theory
KW - Quantum chaos
KW - Random matrices
UR - http://www.scopus.com/inward/record.url?scp=33644982811&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33644982811&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2005.12.027
DO - 10.1016/j.physleta.2005.12.027
M3 - Article
AN - SCOPUS:33644982811
VL - 352
SP - 380
EP - 385
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 4-5
ER -