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Abstract

This is a brief expositary account of Boson stochastic calculus which includes a description of quantum Ito’s formula and its application to the integration of a master equation in statistical mechanics.

Keywords  Quantum dynamical semigroup - Weyl representation - Boson Fock space - annihilation - creation and gauge processes - adapted process - Ito’s formula - quantum Poisson field - Schrödinger equation in the presence of noise - Gorin-Kossakowski-Sudarshan-Lindblad equation

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