Abstract
Parametric energy-level correlation describes the response of the energylevel statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic system, we evaluate the parametric energy-level correlation depending on themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.
| Original language | English |
|---|---|
| Pages (from-to) | 47-63 |
| Number of pages | 17 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2007 Jan 5 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modelling and Simulation
- Statistics and Probability
Cite this
Semiclassical theory for parametric correlation of energy levels. / Nagao, Taro; Braun, Petr; Müller, Sebastian; Saitou, Keiji; Heusler, Stefan; Haake, Fritz.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 1, 05.01.2007, p. 47-63.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Semiclassical theory for parametric correlation of energy levels
AU - Nagao, Taro
AU - Braun, Petr
AU - Müller, Sebastian
AU - Saitou, Keiji
AU - Heusler, Stefan
AU - Haake, Fritz
PY - 2007/1/5
Y1 - 2007/1/5
N2 - Parametric energy-level correlation describes the response of the energylevel statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic system, we evaluate the parametric energy-level correlation depending on themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.
AB - Parametric energy-level correlation describes the response of the energylevel statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic system, we evaluate the parametric energy-level correlation depending on themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.
UR - http://www.scopus.com/inward/record.url?scp=77950444635&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77950444635&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/40/1/003
DO - 10.1088/1751-8113/40/1/003
M3 - Article
VL - 40
SP - 47
EP - 63
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 1
ER -