Published January 15, 2005
| Version v1
Journal article
Random walk in generalized quantum theory
- 1. School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4 (Ireland)
- 2. Depto de Fisica, Cinvestav, Apartado Postal 70-543, Mexico D.F. 0730. (Mexico)
- 3. Dept. of Physics, Syracuse University, Syracuse, New York, 13244-1130 (United States)
- 4. Perimeter Institute, Waterloo, Ontario, N2J 2W9 (Canada)
Description
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
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.71.024029;
- arXiv
- arXiv:gr-qc/0403085v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 71
- Journal Issue
- 2
- Journal Page Range
- p. 024029-024029.15
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37021039
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- INTERFERENCE; LATTICE FIELD THEORY; MARKOV PROCESS; PROBABILITY; QUANTIZATION; QUANTUM MECHANICS; RANDOMNESS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; MECHANICS; QUANTUM FIELD THEORY; STOCHASTIC PROCESSES
Optional Information
- Notes
- (c) 2005 The American Physical Society