Correlation functions for random Schrodinger operators

1 hour 2 mins 25 secs, 386.96 MB, QuickTime 384x288, 25.0 fps, 44100 Hz, 846.45 kbits/sec

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Correlation functions for random Schrodinger operators's image

Description:	Hislop, P (Kentucky) Monday 15 December 2008, 14:00-15:00 Classical and Quantum Transport in the Presence of Disorder

Created:

2009-01-20 10:59

Collection:

Mathematics and Physics of Anderson Localization: 50 Years After

Publisher:

Isaac Newton Institute

Hislop, P

Language:

eng (English)

Credits:

Author:

Hislop, P


Abstract:	Correlation functions are the expectations of moments of the spectral measures for random Schrodinger operators. They play a role in describing the transport properties of the system. This talk will review progress in understanding these moments with an emphasis on the first and second moments. These include the density of states, the current-current correlation functions, and second-order moments involved in the Minami estimate. The talk will present results that are joint work with J. Bellissard, J. M. Combes, F. Germinet, F. Klopp, O. Lenoble, P. Muller, and G. Stolz. A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After

Abstract:

Correlation functions are the expectations of moments of the spectral measures for random Schrodinger operators. They play a role in describing the transport properties of the system. This talk will review progress in understanding these moments with an emphasis on the first and second moments. These include the density of states, the current-current correlation functions, and second-order moments involved in the Minami estimate. The talk will present results that are joint work with J. Bellissard, J. M. Combes, F. Germinet, F. Klopp, O. Lenoble, P. Muller, and G. Stolz.

A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After

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