Physical Models on Discrete Space and Time
The idea of space and time quantum operators with a discrete spectrum has been proposed frequently spacially after the discovery that some physical quantities exhibit measured values that are multiple of a fundamental unit. In 1935 Heisenberg proposed an elementary length in analogy with the observed unit of charge and action. It would be impossible enumerate all the papers written in the same direction. We want to concentrate ourselves in several papers published recently, where other references can be found.
KeywordsDifference Equation Continuous Limit Canonical Commutation Relation Heisenberg Equation Boson Field
Unable to display preview. Download preview PDF.
- C.M. Bender, F. Cooper, V.P. Gutschick, M. Martin Nieto, Phys. Rev. D32, 1486 (1985)Google Scholar
- C.M. Bender, K.A. Milton, S.S. Pinsky, L.M. Simmons, Phys. Rev. D33, 1692 (1986)Google Scholar
- C.M. Bender, L.M. Simmons, Jr., R. Stong, Phys. Rev. D33, 2362 (1986)Google Scholar
- 2.V. Moncrief, Phys. Rev. D28, 2485 (1983). See alsoGoogle Scholar
- L. Vâzquez, Phys. Rev. D32, 2066 (1985)Google Scholar
- 3.H. Yamamoto, Phys. Rev. D30, 1727 (1984)Google Scholar
- 6.V. Kaplunovsky, M. Weinstein, Phys. Rev. D31, 1879 (1985)Google Scholar
- 7.L. Castell, C.F. von Weizsäcker, Quantum Theory and the Structure of Space and Time V. 5, C. Hanser Verlag, Munich 1983Google Scholar
- 8.D. Finkelstein, Phys. Rev. D9, 2219 (1974)Google Scholar
- 9.M. Lorente, Inter. J. Theor. Phys. 11, 213 (1974)Google Scholar
- M. Lorente, Inter. J. Theor. Phys. 12, 927 (1976)Google Scholar
- 10.M. Lorente, “A Causal Interpretation of the Structure of Space and Time”, in Foundations of Physics (P. Weingarther, G. Dorn ed.) Hölder-Pichler-Tempsky, Vienna 1986Google Scholar