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Regularity of solutions to linear stochastic Schrodinger equations
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2007)
We develop linear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (LSSs) that unravel quantum master equations in Lindblad form into quantum trajectories. More precisely, this paper establishes ...
Basic properties of nonlinear stochastic Schrodinger equations driven by Brownian motions
(INST MATHEMATICAL STATISTICS, 2008)
The paper is devoted to the study of nonlinear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum master equations. Under the Born-Markov ...
Effective potential for non-coupled stochastic partial differential equations
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2010)
NOISE and ULTRAVIOLET DIVERGENCES IN SIMULATIONS of GINZBURG-LANDAU-LANGEVIN TYPE of EQUATIONS
(World Scientific Publ Co Pte Ltd, 2012-08-01)
The time evolution of an order parameter towards equilibrium can be described by nonlinear Ginzburg-Landau (GL) type of equations, also known as time-dependent nonlinear Schrodinger equations. Environmental effects of ...
A model for defect formation in materials exposed to radiation
(2021-01-01)
A simple model for the stochastic evolution of defects in a material under irradiation is presented. Using the master-equation formalism, we derive an expression for the average number of defects in terms of the power flux ...
Numerical simulation of stochastic evolution equations associated to quantum markov semigroups
(AMERICAN MATHEMATICAL SOCIETY, 2004)