scholarly journals A Simple Derivation of Mean Field Limits for Quantum Systems

2011 ◽  
Vol 97 (2) ◽  
pp. 151-164 ◽  
Author(s):  
Peter Pickl
Keyword(s):  
Mean Field ◽  
Quantum Systems ◽  
Simple Derivation ◽  
Mean Field Limits

scholarly journals Mean field limits for interacting Hawkes processes in a diffusive regime

Bernoulli ◽  
2022 ◽  
Vol 28 (1) ◽  
Author(s):  
Xavier Erny ◽  
Eva Löcherbach ◽  
Dasha Loukianova
Keyword(s):  
Mean Field ◽  
Hawkes Processes ◽  
Diffusive Regime ◽  
Mean Field Limits

scholarly journals Replica-Mean-Field Limits for Intensity-Based Neural Networks

2019 ◽  
Vol 18 (4) ◽  
pp. 1756-1797
Author(s):  
François Baccelli ◽  
Thibaud Taillefumier
Keyword(s):  
Neural Networks ◽  
Mean Field ◽  
Mean Field Limits

Statistical mean-field theory of finite quantum systems: canonical ensemble formulation

2006 ◽  
Vol 39 (30) ◽  
pp. L499-L505 ◽  
Author(s):  
S A Ponomarenko ◽  
M E Sherrill ◽  
D P Kilcrease ◽  
G Csanak
Keyword(s):  
Field Theory ◽  
Canonical Ensemble ◽  
Mean Field Theory ◽  
Mean Field ◽  
Quantum Systems ◽  
Finite Quantum Systems

scholarly journals Mean-field limits of the quantum Potts model

1983 ◽  
Vol 90 (3) ◽  
pp. 373-387 ◽  
Author(s):  
A. Cant ◽  
Paul A. Pearce
Keyword(s):  
Potts Model ◽  
Mean Field ◽  
Mean Field Limits

scholarly journals MEAN-FIELD APPROXIMATION OF QUANTUM SYSTEMS AND CLASSICAL LIMIT

2003 ◽  
Vol 13 (01) ◽  
pp. 59-73 ◽  
Author(s):  
S. GRAFFI ◽  
A. MARTINEZ ◽  
M. PULVIRENTI
Keyword(s):  
Schrödinger Equation ◽  
Vlasov Equation ◽  
Classical Limit ◽  
Schrodinger Equation ◽  
Mean Field ◽  
Field Approximation ◽  
Quantum Systems ◽  
Nonlinear Schrodinger Equation ◽  
Mean Field Approximation ◽  
Body Potential

We prove that, for a smooth two-body potential, the quantum mean-field approximation to the nonlinear Schrödinger equation of the Hartree type is stable at the classical limit h → 0, yielding the classical Vlasov equation.

scholarly journals A review of the mean field limits for Vlasov equations

2014 ◽  
Vol 7 (4) ◽  
pp. 661-711 ◽  
Author(s):  
Pierre-Emmanuel Jabin ◽  
Keyword(s):  
Mean Field ◽  
Vlasov Equations ◽  
The Mean ◽  
Mean Field Limits
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