HCM: Publications

Schlein, Benjamin

References

19.	Bruno Nachtergaele, Hillel Raz, Benjamin Schlein and Robert Sims Lieb-Robinson bounds for harmonic and anharmonic lattice systems Comm. Math. Phys., 286(3):1073--1098 2009 DOI: 10.1007/s00220-008-0630-2
18.	LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Local semicircle law and complete delocalization for Wigner random matrices Comm. Math. Phys., 287(2):641--655 2009 DOI: 10.1007/s00220-008-0636-9
17.	LÃ¡szlÃ³ Erdős and Benjamin Schlein Quantum dynamics with mean field interactions: a new approach J. Stat. Phys., 134(5-6):859--870 2009 DOI: 10.1007/s10955-008-9570-7
16.	Igor Rodnianski and Benjamin Schlein Quantum fluctuations and rate of convergence towards mean field dynamics Comm. Math. Phys., 291(1):31--61 2009 DOI: 10.1007/s00220-009-0867-4
15.	LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential J. Amer. Math. Soc., 22(4):1099--1156 2009 DOI: 10.1090/S0894-0347-09-00635-3
14.	LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices Ann. Probab., 37(3):815--852 2009 DOI: 10.1214/08-AOP421
13.	Christian Hainzl and Benjamin Schlein Stellar collapse in the time dependent Hartree-Fock approximation Comm. Math. Phys., 287(2):705--717 2009 DOI: 10.1007/s00220-008-0668-1
12.	LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Derivation of the cubic non-linear SchrÃ¶dinger equation from quantum dynamics of many-body systems Invent. Math., 167(3):515--614 2007 DOI: 10.1007/s00222-006-0022-1
11.	Alexander Elgart and Benjamin Schlein Mean field dynamics of boson stars Comm. Pure Appl. Math., 60(4):500--545 2007 DOI: 10.1002/cpa.20134
10.	J. FrÃ¶hlich, M. Griesemer and B. Schlein Rayleigh scattering at atoms with dynamical nuclei Comm. Math. Phys., 271(2):387--430 2007 DOI: 10.1007/s00220-006-0134-x
9.	LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate Comm. Pure Appl. Math., 59(12):1659--1741 2006 DOI: 10.1002/cpa.20123
8.	Alexander Elgart, LÃ¡szlÃ³ Erdős, Benjamin Schlein and Horng-Tzer Yau Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons Arch. Ration. Mech. Anal., 179(2):265--283 2006 DOI: 10.1007/s00205-005-0388-z

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