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1

Stellar Collapse in the Time Dependent Hartree-Fock Approximation

Christian Hainzl, Benjamin Schlein

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 217 KB

english, 2009

2

Dynamics of Bose–Einstein condensates of fermion pairs in the low density limit of BCS theory

Hainzl, Christian, Schlein, Benjamin

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 213 KB

english, 2013

3

RIGOROUS DERIVATION OF THE GROSS-PITAEVSKII EQUATION WITH A LARGE INTERACTION POTENTIAL

LÁSZLÓ ERDŐS, BENJAMIN SCHLEIN and HORNG-TZER YAU

Journal:

Journal of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 3.03 MB

english, 2009

4

Fluctuations around Hartree states in the mean-field regime

Lewin, Mathieu, Nam, Phan Thành, Schlein, Benjamin

Journal:

American Journal of Mathematics

Year:

2015

Language:

english

File:

PDF, 467 KB

english, 2015

5

Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Inventiones mathematicae

Year:

2007

Language:

english

File:

PDF, 1.08 MB

english, 2007

6

Universality of random matrices and local relaxation flow

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Inventiones mathematicae

Year:

2011

Language:

english

File:

PDF, 1.20 MB

english, 2011

7

Average density of states for Hermitian Wigner matrices

Anna Maltsev, Benjamin Schlein

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 296 KB

english, 2011

8

Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics

Kay Kirkpatrick,, Benjamin Schlein,, Gigliola Staffilani,

Journal:

American Journal of Mathematics

Year:

2011

Language:

english

File:

PDF, 642 KB

english, 2011

9

Terence Tao: “Topics in Random Matrix Theory”

Schlein, Benjamin

Journal:

Jahresbericht der Deutschen Mathematiker-Vereinigung

Year:

2013

Language:

english

File:

PDF, 137 KB

english, 2013

10

Rigorous Derivation of the Gross-Pitaevskii Equation

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Physical Review Letters

Year:

2007

Language:

english

File:

PDF, 129 KB

english, 2007

11

From the Hartree Dynamics to the Vlasov Equation

Benedikter, Niels, Porta, Marcello, Saffirio, Chiara, Schlein, Benjamin

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 893 KB

english, 2016

12

Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Journal of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 653 KB

english, 2009

13

Gross–Pitaevskii dynamics for Bose–Einstein condensates

Brennecke, Christian, Schlein, Benjamin

Journal:

Year:

2019

File:

PDF, 1.06 MB

2019

14

A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation

Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin, Sohinger, Vedran

Journal:

Advances in Mathematics

Year:

2019

Language:

english

File:

PDF, 749 KB

english, 2019

15

Adiabatic charge transport and the Kubo formula for Landau-type Hamiltonians

Alexander Elgart, Benjamin Schlein

Journal:

Communications on Pure and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 198 KB

english, 2004

16

Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 552 KB

english, 2006

17

Mean field dynamics of boson stars

Alexander Elgart, Benjamin Schlein

Journal:

Communications on Pure and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 335 KB

english, 2007

18

Bulk universality for Wigner matrices

László Erdős, Sandrine Péché, José A. Ramírez, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 268 KB

english, 2010

19

Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

Alexander Elgart, László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

Language:

english

File:

PDF, 266 KB

english, 2004

20

Ionization of Atoms by Intense Laser Pulses

Jürg Fröhlich, Alessandro Pizzo, Benjamin Schlein

Journal:

Annales Henri Poincaré

Year:

2010

Language:

english

File:

PDF, 388 KB

english, 2010

21

On Blowup for Time-Dependent Generalized Hartree–Fock Equations

Christian Hainzl, Enno Lenzmann, Mathieu Lewin, Benjamin Schlein

Journal:

Annales Henri Poincaré

Year:

2010

Language:

english

File:

PDF, 405 KB

english, 2010

22

Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

Alexander Elgart, László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 219 KB

english, 2006

23

Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert Sims

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 325 KB

english, 2009

24

Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 229 KB

english, 2009

25

Dynamical Formation of Correlations in a Bose-Einstein Condensate

László Erdős, Alessandro Michelangeli, Benjamin Schlein

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 485 KB

english, 2009

26

Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics

Igor Rodnianski, Benjamin Schlein

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 362 KB

english, 2009

27

Quantum Dynamics with Mean Field Interactions: a

László Erdős, Benjamin Schlein

Journal:

Journal of Statistical Physics

Year:

2009

Language:

english

File:

PDF, 343 KB

english, 2009

28

Rate of Convergence Towards Hartree Dynamics

Li Chen, Ji Oon Lee, Benjamin Schlein

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 986 KB

english, 2011

29

Dynamical Collapse of Boson Stars

Alessandro Michelangeli, Benjamin Schlein

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 475 KB

english, 2012

30

ON THE EXISTENCE OF THE DYNAMICS FOR ANHARMONIC QUANTUM OSCILLATOR SYSTEMS

NACHTERGAELE, BRUNO, SCHLEIN, BENJAMIN, SIMS, ROBERT, STARR, SHANNON, ZAGREBNOV, VALENTIN

Journal:

Reviews in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 389 KB

english, 2010

31

Multivariate Central Limit Theorem in Quantum Dynamics

Buchholz, Simon, Saffirio, Chiara, Schlein, Benjamin

Journal:

Journal of Statistical Physics

Year:

2014

Language:

english

File:

PDF, 1.11 MB

english, 2014

32

Emergency Department Identification and Critical Care Management of a Utah Prison Botulism Outbreak

Williams, Benjamin T., Schlein, Sarah M., Caravati, E. Martin, Ledyard, Holly, Fix, Megan L.

Journal:

Annals of Emergency Medicine

Year:

2014

Language:

english

File:

PDF, 302 KB

english, 2014

33

Mean–Field Evolution of Fermionic Systems

Benedikter, Niels, Porta, Marcello, Schlein, Benjamin

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 514 KB

english, 2014

34

Dynamics of a Strongly Coupled Polaron

Frank, Rupert L., Schlein, Benjamin

Journal:

Letters in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 226 KB

english, 2014

35

Ground-state energy of a low-density Bose gas: A second-order upper bound

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Physical Review A

Year:

2008

Language:

english

File:

PDF, 178 KB

english, 2008

36

Bounds for the Stieltjes transform and the density of states of Wigner matrices

Cacciapuoti, Claudio, Maltsev, Anna, Schlein, Benjamin

Journal:

Probability Theory and Related Fields

Year:

2015

Language:

english

File:

PDF, 599 KB

english, 2015

37

Quantitative Derivation of the Gross-Pitaevskii Equation

Benedikter, Niels, de Oliveira, Gustavo, Schlein, Benjamin

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 658 KB

english, 2015

38

Local Marchenko-Pastur law at the hard edge of sample covariance matrices

Cacciapuoti, Claudio, Maltsev, Anna, Schlein, Benjamin

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 164 KB

english, 2013

39

Mean-field dynamics of fermions with relativistic dispersion

Benedikter, Niels, Porta, Marcello, Schlein, Benjamin

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 464 KB

english, 2014

40

[SpringerBriefs in Mathematical Physics] Effective Evolution Equations from Quantum Dynamics Volume 7 ||

Benedikter, Niels, Porta, Marcello, Schlein, Benjamin

Year:

2016

Language:

english

File:

PDF, 1.33 MB

english, 2016

41

Semicircle Law on Short Scales and Delocalization of Eigenvectors for Wigner Random Matrices

László Erdős, Benjamin Schlein and Horng-Tzer Yau

Journal:

The Annals of Probability

Year:

2009

Language:

english

File:

PDF, 2.01 MB

english, 2009

42

Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations

Frank, Rupert L., Hainzl, Christian, Schlein, Benjamin, Seiringer, Robert

Journal:

Letters in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 448 KB

english, 2016

43

Mean-Field Evolution of Fermionic Mixed States

Benedikter, Niels, Jakšić, Vojkan, Porta, Marcello, Saffirio, Chiara, Schlein, Benjamin

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 402 KB

english, 2015

44

The local relaxation flow approach to universality of the local statistics for random matrices

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer, Yin, Jun

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2012

File:

PDF, 541 KB

2012

45

Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics

Boccato, Chiara, Cenatiempo, Serena, Schlein, Benjamin

Journal:

Annales Henri Poincaré

Year:

2017

Language:

english

File:

PDF, 1.16 MB

english, 2017

46

Complete Bose–Einstein Condensation in the Gross–Pitaevskii Regime

Boccato, Chiara, Brennecke, Christian, Cenatiempo, Serena, Schlein, Benjamin

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 837 KB

english, 2017

47

Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Many-Body Quantum States in Dimensions $${d \leqslant 3}$$ d ⩽ 3

Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin, Sohinger, Vedran

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 1.47 MB

english, 2017

48

From Hartree Dynamics to the Relativistic Vlasov Equation

Dietler, Elia, Rademacher, Simone, Schlein, Benjamin

Journal:

Journal of Statistical Physics

Year:

2018

Language:

english

File:

PDF, 625 KB

english, 2018

49

[WORLD SCIENTIFIC XVIth International Congress on Mathematical Physics - Prague, Czech Republic (3 – 8 August 2009)] XVIth International Congress on Mathematical Physics - DERIVATION OF EFFECTIVE EVOLUTION EQUATIONS FROM MANY BODY QUANTUM DYNAMICS

SCHLEIN, BENJAMIN

Language:

english

File:

PDF, 278 KB

english

50

Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation

Erdos, Laszlo, Ramirez, Jose, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Electronic Journal of Probability

Year:

2010

Language:

english

File:

PDF, 668 KB

english, 2010