Abstract
Even fermionic stochastic flows are shown to be closely related to the mathematics of supersymmetry.
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References
Accardi, L., Frigerio, A., and Lewis, J. T. (1982). Quantum stochastic processes,PRIMS Kyoto,18, 97–133.
Applebaum, D. B. (1987). Fermion Itô's formula II: The gauge process in fermion Fock space,PRIMS Kyoto,23, 17–56.
Applebaum, D. B. (1991). Unitary evolutions and horizontal lifts in quantum stochastic calculus,Communications in Mathematical Physics,140, 63–80.
Applebaum, D. B., and Hudson, R. L. (1984). Fermion Itô's formula and stochastic evolutions,Communications in Mathematical Physics,96, 473–496.
Barnett, C., Streater, R. F., and Wilde, I. F. (1982). The Itô-Clifford integral,Journal of Functional Analysis,48, 172–212.
Cockroft, A. M., and Hudson, R. L. (1977). Quantum mechanical Wiener processes,Journal of Multivariate Analysis,7, 107–124.
Davies, E. B., and Lindsay, J. M. (1993). Superderivation and symmetric Markov semigroups,Communications in Mathematical Physics,157, No. 2.
Evans, M. P. (1989). Existence of quantum diffusions,Probability Theory and Related Fields,81, 473–483.
Evans, M. P., and Hudson, R. L. (1990). Perturbations of quantum diffusions.Journal of the London Mathematical Society (2),41, 373–384.
Fagnola, F. (1990). On quantum stochastic differential equations with unbounded coefficients,Probability Theory and Related Fields,86, 501–516.
Hudson, R. L. (1987). Quantum diffusions and cohomology of algebras, inProceedings of the 1st World Congress of the Bernoulli Society (Tashkent, 1986), Yu. Prohorovet al., eds., VNU Press, Volume 1, pp. 479–485.
Hudson, R. L. (1990). Quantum stochastic flows, inProbability Theory and Mathematical Statistics (Proceedings, Vilnius 1989), B. Grigelioniset al., eds., VSP, Volume 1, pp. 512–525.
Hudson, R. L., and Parthasarathy, K. R. (1984). Quantum Ito's formula and stochastic evolutions,Communications in Mathematical Physics,93, 301–323.
Hudson, R. L., and Parthasarathy, K. R. (1986). Unification of boson and fermion stochastic calculus,Communications in Mathematical Physics,104, 457–470.
Hudson, R. L., and Shepperson, P. (1992). Structure relations for fermion flows, inQuantum Probability VII, L. Accardiet al., eds., World Scientific, Singapore.
Jaffe, A., Lesniewski, A., and Wisniowski, M. (1989). Deformations of super KMS functionals,Communications in Mathematical Physics,121, 527–540.
Mohari, A. (1991). Quantum stochastic differential equations with unbounded coefficients, ISI New Delhi preprint.
Parthasarathy, K. R. (1992).An Introduction to Quantum Stochastic Calculus, Birkhäuser, Basel.
Vincent-Smith, G. F. (1991). Unitary quantum stochastic evolutions,Proceedings of the London Mathematical Society,63, 1–25.
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Hudson, R.L. Fermion flows and supersymmetry. Int J Theor Phys 32, 2413–2422 (1993). https://doi.org/10.1007/BF00673009
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DOI: https://doi.org/10.1007/BF00673009