QUANTUM MULTIPOLE NOISE AND GENERALIZED QUANTUM STOCHASTIC EQUATIONS

Alexander Nikolaevich Pechen, Igor Vasil'evich Volovich · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2002

A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum white noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum multipole noise describes the corrections to the leading term. We obtain and study the generalized quantum stochastic equations describing corrections to the stochastic limit which include quantum dipole noise.

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