Random walk and the heat equation on superspace and anyspace

Journal of Mathematical Physics - Tập 35 Số 7 - Trang 3753-3760 - 1994
Shahn Majid1, M. J. Rodríguez-Plaza2
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, United Kingdom
2NIKHEF-H, Postbus 41882, 1009 DB Amsterdam, Holland

Tóm tắt

Random walks are used to study diffusion on anyspace. Anyspace is characterized by coordinate ξ with ξN=0 and statistics ξξ′=e2πi/Nξ′ξ between independent copies. Anyonic integration and anyonic Dirac δ functions are introduced, and reduced to familiar results for supersymmetry when N=2. These ingredients are then used to formulate and solve the resulting anyonic diffusion equation.

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Tài liệu tham khảo

1991, Braided groups and algebraic quantum field theories, Lett. Math. Phys., 22, 167, 10.1007/BF00403542

1993, Braided momentum in the q-Poincaré group, J. Math. Phys., 34, 2045, 10.1063/1.530154

1993, Free braided differential calculus, braided binomial theorem, and the braided exponential map, J. Math. Phys., 34, 4843, 10.1063/1.530326

1988, Quantum independent increment processes on superalgebras, Math. Zeit., 198, 451, 10.1007/BF01162868

1993, Quantum random walks and time reversal, Int. J. Mod. Phys., 8, 4521, 10.1142/S0217751X93001818

1991, Path integral on the quantum plane, Phys. Lett. B, 258, 171, 10.1016/0370-2693(91)91227-M

1991, Quantum q-white noise and a q-central limit theorem, Commun. Math. Phys., 140, 589, 10.1007/BF02099136

1992, C-statistical quantum groups and Weyl algebras, J. Math. Phys., 33, 3431, 10.1063/1.529891