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Title: Random walk in generalized quantum theory

Journal Article · · Physical Review. D, Particles Fields
 [1];  [1];  [2]
  1. School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4 (Ireland)
  2. Perimeter Institute, Waterloo, Ontario, N2J 2W9 (Canada)

One can view quantum mechanics as a generalization of classical probability theory that provides for pairwise interference among alternatives. Adopting this perspective, we 'quantize' the classical random walk by finding, subject to a certain condition of 'strong positivity', the most general Markovian, translationally invariant 'decoherence functional' with nearest neighbor transitions.

OSTI ID:
20705847
Journal Information:
Physical Review. D, Particles Fields, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevD.71.024029; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English