M Wilkinson et al 1991 J. Phys. A: Math. Gen. 24 175 doi:10.1088/0305-4470/24/1/025
M Wilkinson, M Feingold and D M Leitner
Show affiliationsThe authors investigate the localization properties of the eigenvectors of a banded random matrix ensemble, in which the diagonal matrix elements increase along the diagonal. They relate the results to a transition in the spectral statistics which is observed as a parameter is varied, and discuss the relevance of this model to the quantum mechanics of chaotic Hamiltonian systems.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
05.45.Mt Quantum chaos; semiclassical methods
02.50.-r Probability theory, stochastic processes, and statistics
Issue 1 (7 January 1991)
M Wilkinson et al 1991 J. Phys. A: Math. Gen. 24 175
Paul T Allen et al 2008 Class. Quantum Grav. 25 075009
Elmar C Fuchs et al 2007 J. Phys. D: Appl. Phys. 40 6112
Chris Phoenix and Eric Drexler 2004 Nanotechnology 15 869
M Bruderer et al 2008 New J. Phys. 10 033015
M. Bruderer et al 2008 EPL 82 30004
Stephen R Clark et al 2007 New J. Phys. 9 202
Alexander Klein et al 2007 New J. Phys. 9 411
M Bruderer and D Jaksch 2006 New J. Phys. 8 87
Joanna I House et al 2008 Environ. Res. Lett. 3 044002