Orthogonal jumps of wavefunction in white-noise potentials

Abstract

We investigate the evolution of the quantum state for a free particle placed into a random external potential of white-noise type. The master equation for the density matrix is derived by means of path integral method. We propose an equivalent stochastic process where the wavefunction satisfies a nonlinear Schrödinger equation except for random moments at which it shows orthogonal jumps. The relation of our work to the usual theory of quantum noise and damping is briefly discussed.

arXiv comment7pp, Modern title would be: Quantum trajectories of stochastic unravelling the master equation structure -[x,[x,rho]]

References in corpus (1)

• Gravitation and quantummechanical localization of macroobjects

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