scholarly journals On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics

2016 ◽  
Vol 14 (5) ◽  
pp. 1417-1442 ◽  
Author(s):  
Zied Ammari ◽  
Marco Falconi ◽  
Boris Pawilowski
Keyword(s):  
Rate Of Convergence ◽  
Quantum Dynamics ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Many Body ◽  
Many Body Quantum Dynamics ◽  
The Mean

scholarly journals A Large Deviation Principle in Many-Body Quantum Dynamics

2021 ◽  
Author(s):  
Kay Kirkpatrick ◽  
Simone Rademacher ◽  
Benjamin Schlein
Keyword(s):  
Quantum Dynamics ◽  
Limit Theorems ◽  
Large Deviation ◽  
Mean Field ◽  
Quantum Evolution ◽  
Many Body ◽  
Many Body Quantum Dynamics ◽  
The Mean ◽  
The Many ◽  
Mean Field Regime

AbstractWe consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years.

ANATOMY OF RELATIVISTIC MEAN-FIELD APPROXIMATIONS

1992 ◽  
Vol 07 (21) ◽  
pp. 1915-1921
Author(s):  
S. CRUZ BARRIOS ◽  
M.C. NEMES
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Many Body ◽  
Relativistic Mean Field ◽  
The Mean ◽  
Body Techniques ◽  
Set Up ◽  
Mean Field Approximations

In the present work we have set up a scheme to treat field theoretical Lagrangians in the same bases of the well known non-relativistic many-body techniques. We show here that fermions and bosons can be treated quantum mechanically in a symmetric way and obtain results for the mean field approximation.

scholarly journals The Combined Effect of Rotation and Magnetic Field on Finite-Amplitude Thermal Convection

1973 ◽  
Vol 26 (5) ◽  
pp. 617 ◽  
Author(s):  
R Van der Borght ◽  
JO Murphy
Keyword(s):  
Magnetic Field ◽  
Mean Field ◽  
Field Approximation ◽  
Finite Amplitude ◽  
Combined Effect ◽  
Mean Field Approximation ◽  
Free Boundaries ◽  
Wide Range ◽  
The Mean ◽  
Basic Equations

The combined effect of an imposed rotation and magnetic field on convective transfer in a horizontal Boussinesq layer of fluid heated from below is studied in the mean field approximation. The basic equations are derived by a variational technique and their solutions are then found over a wide range of conditions, in the case of free boundaries, by numerical and analytic techniques, in particular by asymptotic and perturbation methods. The results obtained by the different techniques are shown to be in excellent agreement. As for the linear theory, the calculations predict that the simultaneous presence' of a magnetic field and rotation may produce conflicting tendencies.

scholarly journals Locating the critical end point using the linear sigma model coupled to quarks.

2018 ◽  
Vol 172 ◽  
pp. 02003
Author(s):  
Alejandro Ayala ◽  
J. A. Flores ◽  
L. A. Hernández ◽  
S. Hernández-Ortiz
Keyword(s):  
Sigma Model ◽  
Chemical Potential ◽  
Potential Temperature ◽  
Mean Field ◽  
Field Approximation ◽  
Baryon Density ◽  
Linear Sigma Model ◽  
Mean Field Approximation ◽  
End Point ◽  
The Mean

We use the linear sigma model coupled to quarks to compute the effective potential beyond the mean field approximation, including the contribution of the ring diagrams at finite temperature and baryon density. We determine the model couplings and use them to study the phase diagram in the baryon chemical potential-temperature plane and to locate the Critical End Point.

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