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math.PR2008★ 3 cited
Markov Chains Approximations of jump-Diffusion Quantum Trajectories
Clement Pellegrini
"Quantum trajectories" are solutions of stochastic differential equations also called Belavkin or Stochastic Schrödinger Equations. They describe random phenomena in quantum measur…
math.PR2007★ 5 cited
Existence, uniqueness and approximation for stochastic Schrodinger equation: the Poisson case
Clement Pellegrini
In quantum physics, recent investigations deal with the so-called "quantum trajectory" theory. Heuristic rules are usually used to give rise to "stochastic Schrodinger equations" w…
math.PR2007★ 72 cited
Existence, uniqueness and approximation of a stochastic Schrödinger equation: the diffusive case
Clément Pellegrini
Recent developments in quantum physics make heavy use of so-called "quantum trajectories." Mathematically, this theory gives rise to "stochastic Schrödinger equations", that is, pe…