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The Fermion number processes as a functional central limit of quantum Hamiltonian models. (English) Zbl 0769.60098
Summary: We investigate, in the Fermion case, how the number processes arise from a limit of a quantum Hamiltonian model. Our conclusion is that the time evolution of a certain quantum Hamiltonian model tends to the solution of a quantum stochastic differential equation driven by the Fermion number processes.
MSC:
60K40 Other physical applications of random processes
81S25 Quantum stochastic calculus
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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References:
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