The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation
Solutions of Markov evolution equations in the theory of open quantum systems provide a stochastic representation of quantum dynamical semigroups (in particular those in von Neumann algebras). The author considers quantum stochastic differential equations whose solutions in the interaction representation are weak or strong resolvent limits of solutions of a family of Schrödinger equations in the Fock space. Functions that belong to the range of the resolvent of the limit unitary group are known to experience amplitude and phase jumps at points where the quadratic form of the generator has singularities. The corresponding Markov evolution equation (in the Lindblad form) is derived from the boundary value problem for the Schrödinger equation.
scientific article; zbMATH DE number 1238001