Mathematics and Physics of Anderson Localization: 50 Years After
| Created: | 2008-08-21 14:17 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Description: | In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent developments in condensed matter theory. In particular, in the last 25 years the phenomenon of localization proved to be crucial for the understanding of the Quantum Hall effect, mesoscopic fluctuations in small conductors as well as some aspects of quantum chaotic behaviour.
Random Schrödinger operators are an area of very active research in mathematical physics and mathematics. Here the main effort is to clarify the nature of the underlying spectrum. In particular, it has been proved that in dimension one all states are localized, and in any dimension the random Schrödinger operator has dense point spectrum for large enough disorder. Some open mathematical problems of major importance include the long-time evolutions of a quantum particle in a weakly disordered medium and existence of absolutely continuous spectrum in three dimensions. The expected transition from localized (point spectrum) to extended eigenstates (absolutely continuous spectrum) will also be addressed. Read more at: http://www.newton.ac.uk/programmes/MPA/ |
Media items
This collection contains 102 media items.
Media items
A supersymmetric model for quantum diffusion in 3d
Disertori, M (Rouen)
Thursday 21 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Sat 20 Sep 2008
A two cities theorem for the parabolic Anderson model
Sidorova, N (UCL)
Thursday 24 July 2008, 16:00-16:45
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Aug 2008
A variant of an estimate by Minami
Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Sat 20 Sep 2008
Absolutely continuous spectrum for the Anderson model on more general trees
Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:45-17:30
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 4 Aug 2008
Anderson localisation and sub-diffusion for the nonlinear Schrodinger equtation: results and puzzles
Krivolapov, Y (Technion)
Monday 21 July 2008, 16:00-16:45
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 31 Jul 2008
Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles
Fishman, S (Technion)
Friday 22 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Sun 21 Sep 2008
Anderson localisation in the presence of interactions in BEC
Leboeuf, P (Orsay)
Thursday 09 October 2008, 14:00-15:00
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Oct 2008
Anderson localisation: phenomenology and mathematics (1)
Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:00-10:30
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 23 Jul 2008
Anderson localisation: phenomenology and mathematics (2)
Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:00-12:30
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Aug 2008
Anderson localisation: phenomenology and mathematics (3)
Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:00-15:30
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Aug 2008
Anderson localisation: phenomenology and mathematics (4)
Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:00-10:30
Anderson Localization Transition: Introductory Training Course
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 21 Aug 2008
Anderson localization and electron-electron interaction
Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008, 14:00-15:00
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 19 Sep 2008
Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations
Efetov, K (Ruhr-Universit\"at Bochum)
Thursday 21 August 2008, 09:00-10:00
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Sat 20 Sep 2008
Anderson localization: from theoretical aspects to applications in QCD and cold atoms
Garcia-Garcia, A (Princeton)
Friday 22 August 2008, 11:30-12:30
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Sun 21 Sep 2008
Cavity approach to the spectral density of sparse symmetric random matrices
Rogers, T (King's College, London)
Friday 18 July 2008, 16:45-17:30
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 28 Jul 2008
Cell model for scaling near the mobility edge
Wegner, F (Heidelberg)
Monday 18 August 2008, 16:30-17:30
Anderson Localization and Related Phenomena
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 19 Sep 2008
Collective electronic transport close to the metal-insulator or superconductor insulator transitions.
Mueller, M (Université de Genève)
Wednesday 17 December 2008, 10:00-11:00
Classical and Quantum Transport in the Presence of Disorder
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 21 Jan 2009
Construction of KdV flow on generalised reflectionless potentials
Kotani, S (Kwansei)
Friday 19 September 2008, 14:00-15:00
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Oct 2008
Correlation functions for random Schrodinger operators
Hislop, P (Kentucky)
Monday 15 December 2008, 14:00-15:00
Classical and Quantum Transport in the Presence of Disorder
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 20 Jan 2009
Diffusion of energy in coupled map lattices
Kupiainen, A (Helsinki)
Thursday 18 September 2008, 14:00-15:00
Collection: Mathematics and Physics of Anderson Localization: 50 Years After
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 30 Oct 2008
