Semiclassical theory for parametric correlation of energy levels

T Nagao; P Braun; S Muller; K Saito; S Heusler; F Haake

doi:10.1088/1751-8113/40/1/003

Semiclassical theory for parametric correlation of energy levels

T Nagao, P Braun, S Muller, K Saito, S Heusler, F Haake

Research output: Contribution to journal › Article (Academic Journal) › peer-review

13 Citations (Scopus)

Abstract

Parametric energy-level correlation describes the response of the energy-level 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(tau) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in tau.

Translated title of the contribution	Semiclassical theory for parametric correlation of energy levels
Original language	English
Pages (from-to)	47 - 63
Number of pages	17
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40 (1)
DOIs	https://doi.org/10.1088/1751-8113/40/1/003
Publication status	Published - Jan 2007

Bibliographical note

Publisher: IOP Publishing Ltd

Access to Document

10.1088/1751-8113/40/1/003

http://www.iop.org/EJ/article/1751-8121/40/1/003/a7_1_003.pdf

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title = "Semiclassical theory for parametric correlation of energy levels",

abstract = "Parametric energy-level correlation describes the response of the energy-level 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(tau) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in tau.",

author = "T Nagao and P Braun and S Muller and K Saito and S Heusler and F Haake",

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TY - JOUR

T1 - Semiclassical theory for parametric correlation of energy levels

AU - Nagao, T

AU - Braun, P

AU - Muller, S

AU - Saito, K

AU - Heusler, S

AU - Haake, F

N1 - Publisher: IOP Publishing Ltd

PY - 2007/1

Y1 - 2007/1

N2 - Parametric energy-level correlation describes the response of the energy-level 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(tau) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in tau.

AB - Parametric energy-level correlation describes the response of the energy-level 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(tau) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in tau.

U2 - 10.1088/1751-8113/40/1/003

DO - 10.1088/1751-8113/40/1/003

M3 - Article (Academic Journal)

VL - 40 (1)

SP - 47

EP - 63

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -