Random walks and Schrödinger's equation in (2 + 1) dimensions

Journal of Physics A: Mathematical and General

Volumn 30, Issue 3, 1997, Pages 819-830

  Ord, G N ^a   Deakin, A S ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031557040     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/3/008     Document Type: Article

References (18)

1. Bell J S 1964 Physics 1 195
2. Bell J 1990 Against measurement Physics World pp 34-40
3. El Naschie M, Rossler O E and Prigogine I 1995 Quantum Mechanics, Diffusion and Chaotic Fractals (Oxford: Pergamon) See also Chaos Solitons and Fractals vol 7, no 4-6
4. Nelson E 1985 Quantum Fluctuations (Princeton, NJ: Princeton University Press)
5. Nagasawa M 1996 Schrödinger Equations and Diffusion Theory (Boston, MA: Birkhauser)
6. Nottale L 1993 Fractals Spacetime and Microphysics (Singapore: World Scientific)
7. Zambrini J C 1995 From quantum physics to probability theory and back Chaos - The Interplay Between Stochastic and Deterministic Behaviour ed Garbaczewski, Wolf and Weron (Berlin: Springer)
8. Holland P R 1993 The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge: Cambridge University Press)
9. Ord G N 1983 Fractal spacetime a geometric analog of relativistic quantum mechanics J. Phys. A: Math. Gen. 16 1869-84
10. Ord G N 1992 A reformulation of Feynman chessboard model J. Stat. Phys. 66 647-59
11. Ord G N 1992 A classical analog of quantum phase Int. J. Theor. Phys. 31 1177-95
12. Ord G N 1993 Quantum interference from charge conservation Phys. Lett. A 173 343-6
13. McKeon D G C and Ord G N 1992 Classical time reversal and the Dirac equation Phys. Rev. Lett. 69 3-4
14. Ord G N 1996 The Schrödinger and diffusion propagators coexisting on a lattice J. Phys. A: Math. Gen. 29 L123-8
15. Ord G N 1996 The Schrödinger and Dirac free particle equations without quantum mechanics Ann. Phys. 250 51-62
16. Ord G N 1996 Schrödinger's equation and discrete random walks in a potential field Ann. Phys. 250 63-8
17. Ord G N and Deakin A S Random walks, continuum limits and Schrödinger's equation Phys. Rev. A 54 to appear
18. Schulman L S 1981 Techniques and Applications of Path Integration (New York: Wiley)