D Applebaum 1995 J. Phys. A: Math. Gen. 28 257 doi:10.1088/0305-4470/28/2/004
D Applebaum
Show affiliationsA quantum stochastic calculus for fermions is developed where the basic integrators are based on Dirac fields and the charge operator. The associated Ito formula has seven non-trivial correction terms. Conditions are found for the solutions of stochastic differential equations to be unitary and it is shown that the corresponding quantum stochastic flow manifests a broken symmetry whereby the particle and antiparticle noises no longer balance each other. An abstract theory of such flows is then developed. By employing the unification between boson and fermion stochastic calculi, we are able to develop the entire theory using boson Fock spaces.
81P20 Stochastic mechanics (including stochastic electrodynamics)
81R15 Operator algebra methods (See also 46Lxx, 81T05)
60H10 Stochastic ordinary differential equations (See also 34F05)
Issue 2 (21 January 1995)
D Applebaum 1995 J. Phys. A: Math. Gen. 28 257
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