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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2016, Volume 463, pp. 445 - 451
The Fokker–Planck equation (FPE) of the unimolecular reaction with Tsallis distribution is established by means of approximation to the master equation. The... 
Master equation | Chemical kinetics | Power-law distribution | ANOMALOUS DIFFUSION | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | MODEL | Chemical reaction, Rate of | Laws, regulations and rules | Analysis
Journal Article
Physics Reports, ISSN 0370-1573, 2009, Volume 478, Issue 4, pp. 71 - 120
We review the quantum version of the linear Boltzmann equation, which describes in a non-perturbative fashion, by means of scattering theory, how the quantum... 
Atomic index of refraction | Dynamic structure factor | Quantum Boltzmann equation | Quantum Brownian motion | Collisional decoherence | BROWNIAN-MOTION | DECOHERENCE | BOSE | MATTER | LOW-DENSITY LIMIT | TALBOT-LAU INTERFEROMETER | PHYSICS, MULTIDISCIPLINARY | KINETIC MASTER EQUATION | VON-NEUMANN-EQUATION | TEST PARTICLE | SCATTERING | Monte Carlo method | Analysis
Journal Article
IEEE Journal of Quantum Electronics, ISSN 0018-9197, 05/2011, Volume 47, Issue 5, pp. 705 - 714
Journal Article
JOURNAL OF MATHEMATICAL BIOLOGY, ISSN 0303-6812, 09/2014, Volume 69, Issue 3, pp. 687 - 735
Journal Article
New Journal of Physics, ISSN 1367-2630, 04/2018, Volume 20, Issue 4, p. 43022
We consider a pair of dipoles such as Rydberg atoms for which direct electrostatic dipole-dipole interactions may be significantly larger than the coupling to... 
master equation | dipole-dipole interactions | strong coupling | Rydberg atoms | TIME-DEPENDENCE | PHYSICS, MULTIDISCIPLINARY | MOLECULES | RESONANCE FLUORESCENCE | RYDBERG GAS | NONRELATIVISTIC QUANTUM ELECTRODYNAMICS | ATOMS | GAUGE-INVARIANCE | OPERATORS | Gauges | Physics - Quantum Physics
Journal Article
Classical and Quantum Gravity, ISSN 0264-9381, 08/2018, Volume 35, Issue 18, p. 185009
Conserved currents associated with the time translation and axial symmetries of the Kerr spacetime and with scaling symmetry are constructed for the Teukolsky... 
boundary condition | Kerr space-time | Noether's theorem | Teukolsky master equation | conserved current | KERR SPACETIME | FIELDS | PERTURBATIONS | PHYSICS, MULTIDISCIPLINARY | DECOUPLED EQUATIONS | ASTRONOMY & ASTROPHYSICS | CONSTRUCTION | WAVE-EQUATION | CONSERVATION-LAWS | ROTATING BLACK-HOLES | PHYSICS, PARTICLES & FIELDS
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2015, Volume 75, Issue 4, pp. 1445 - 1468
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 01/2015, Volume 91, Issue 2
We show that the Schrodinger-Newton equation, which describes the nonlinear time evolution of self-gravitating quantum matter, can be made compatible with the... 
LOCALIZATION | REDUCTION | MODELS | QUANTUM | ASTRONOMY & ASTROPHYSICS | MASTER EQUATION | DYNAMICS | SYSTEMS | PHYSICS, PARTICLES & FIELDS
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 07/2017, Volume 127, Issue 7, pp. 2093 - 2137
Since its introduction by P.L. Lions in his lectures and seminars at the , see Lions [6], and also the very helpful notes of Cardialaguet (2013) on Lions’... 
Master equation | Hamilton–Jacobi–Bellman equation | Functionals of probability measures | Mean field type control | Fokker–Planck equation | Mean field games | Hamilton-Jacobi-Bellman equation | STATISTICS & PROBABILITY | Fokker-Planck equation | Seminars | Management science | Business schools | Analysis
Journal Article
JOURNAL OF PHYSICAL CHEMISTRY A, ISSN 1089-5639, 07/2015, Volume 119, Issue 28, pp. 7668 - 7682
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 02/2019, Volume 52, Issue 6, p. 63001
Bose-Einstein condensates (BECs) are starting to play a role in quantum information processing, and there is a need to better understand the dynamical... 
GASES | hydrodynamic modes | PHYSICS, MULTIDISCIPLINARY | 1st and 2nd sound relaxation | PHYSICS, MATHEMATICAL | rubidium BEC | DILUTE | transport processes | ultra-low temperature phenomena | TRANSPORT | kinetic equation | RELAXATION PROCESSES | MICROSCOPIC MODES | MASTER EQUATION | FERMI SUPERFLUID | DYNAMICS | Bose-Einstein condensate
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 06/2015, Volume 103, Issue 6, pp. 1441 - 1474
In his lectures at , P.L. Lions introduced the concept of Master equation, see for Mean Field Games. It is introduced in a heuristic fashion, from the... 
Linear quadratic problems | Master equation | Mean Field Games | Stochastic HJB equations | Stochastic maximum principle | Mean Field type control problems | Mean field type control problems | Mean field games | MATHEMATICS | MATHEMATICS, APPLIED | Game theory | Analysis
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2015, Volume 251, pp. 275 - 283
A deformed reduced semi-discrete Kaup–Newell equation and its related integrable family are derived from discrete zero curvature equation. A Darboux... 
Integrable differential–difference equation | Lax pair | Deformed reduced semi-discrete Kaup–Newell equation | Darboux transformation | Exact solution | Deformed reduced semi-discrete Kaup-Newell equation