Alexander Elgart
Alexander Elgart
Professor of Mathematics, Virginia Tech
Verified email at vt.edu - Homepage
Title
Cited by
Cited by
Year
Adiabatic theorem without a gap condition
JE Avron, A Elgart
Communications in mathematical physics 203 (2), 445-463, 1999
2491999
Mean field dynamics of boson stars
A Elgart, B Schlein
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007
1922007
Geometry, statistics, and asymptotics of quantum pumps
JE Avron, A Elgart, GM Graf, L Sadun
Physical Review B 62 (16), R10618, 2000
1672000
Moment analysis for localization in random Schrödinger operators
M Aizenman, A Elgart, S Naboko, JH Schenker, G Stolz
Inventiones mathematicae 163 (2), 343, 2006
1572006
Optimal quantum pumps
JE Avron, A Elgart, GM Graf, L Sadun
Physical review letters 87 (23), 236601, 2001
1392001
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
A Elgart, L Erdős, B Schlein, HT Yau
Archive for rational mechanics and analysis 179 (2), 265-283, 2006
1152006
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
A Elgart, L Erdős, B Schlein, HT Yau
Journal de mathématiques pures et appliquées 83 (10), 1241-1273, 2004
712004
Equality of the bulk and edge Hall conductances in a mobility gap
A Elgart, GM Graf, JH Schenker
Communications in mathematical physics 259 (1), 185-221, 2005
642005
Transport and dissipation in quantum pumps
JE Avron, A Elgart, GM Graf, L Sadun
Journal of statistical physics 116 (1-4), 425-473, 2004
632004
Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
A Elgart, M Tautenhahn, I Veselić
Annales Henri Poincaré 12 (8), 1571-1599, 2011
402011
Adiabatic theorem without a gap condition: Two-level system coupled to quantized radiation field
JE Avron, A Elgart
Physical Review A 58 (6), 4300, 1998
381998
Localisation for non-monotone Schrödinger operators
A Elgart, M Shamis, S Sodin
arXiv preprint arXiv:1201.2211, 2012
372012
A note on the switching adiabatic theorem
A Elgart, GA Hagedorn
Journal of Mathematical Physics 53 (10), 102202, 2012
342012
Adiabatic charge pumping in open quantum systems
JE Avron, A Elgart, GM Graf, L Sadun, K Schnee
Communications on pure and applied mathematics 57 (4), 528-561, 2004
332004
Adiabatic charge transport and the Kubo formula for Landau‐type Hamiltonians
A Elgart, B Schlein
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2004
302004
Time-energy coherent states and adiabatic scattering
JE Avron, A Elgart, GM Graf, L Sadun
Journal of Mathematical Physics 43 (7), 3415-3424, 2002
282002
Localization via fractional moments for models on with single-site potentials of finite support
A Elgart, M Tautenhahn, I Veselić
Journal of Physics A: Mathematical and Theoretical 43 (47), 474021, 2010
232010
Ground state energy of trimmed discrete Schr\" odinger operators and localization for trimmed Anderson models
A Elgart, A Klein
arXiv preprint arXiv:1301.5268, 2013
162013
Lifshitz tails and localization in the three-dimensional Anderson model
A Elgart
Duke Mathematical Journal 146 (2), 331-360, 2009
162009
Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
A Elgart, A Klein, G Stolz
Journal of Functional Analysis 275 (1), 211-258, 2018
152018
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