Publication: A geometrical interpretation on the Pauli exclusion principle in classical field-theory
No Thumbnail Available
Official URL
Full text at PDC
Publication Date
1985
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Citations
Exportar
Abstract
It is shown that classical Dirac fields with the same couplings obey the Pauli exclusion principle in the following sense: If at a certain time two Dirac fields are in different states, they can never reach the same one. This is geometrically interpreted as analogous to the impossibility of crossing of trajectories in the phase space of a dynamical system. An application is made to a model in which extended particles are represented as solitary waves of a set of several fundamental, confined nonlinear Dirac fields, with the result that the same mechanism accounts both for fermion and boson behaviors.
Description
UCM subjects
Unesco subjects
Keywords
Citation
1.- F. Calogero, A. Degasperis, and D. Levi in Nonlinear Problems in Theoretical Physics, Lecture Notes in Physics 98, A. F. Rañada, ed. (Springer-Verlag, Berlin, 1979).
2.- M. Soler, Phys. Rev. D 1, 2766 (1970).
3.- A. F. Rañada, M. F. Rañada, M. Soler, and L. Vázquez, Phys. Rev. D 10, 517 (1974).
4.- A. F. Rañada, and L. Vázquez, Prog. Theor. Phys. 56, 311 (1976).
5.- A. F. Rañada, J. Phys. A.: Math. Gen. 11, 341 (1978).
6.- L. García and A. F. Rañada, Prog. Theor. Phys. 64, 671 (1980).
7.- A. F. Rañada, in Quantum Physics, Groups, Fields, and Particles, A. O. Barut, ed. (Reidel, Dordrecht, 1983), p. 271.
8.- A. F. Rañada, in Old and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology: Essays in Honor of Wolfgang Yourgrau, A. van der Merwe, ed. (Plenum, New York, 1983), p. 363.
9.- L. García and J. Usón,Found. Phys. 10, 137 (1980).
10.- A. F. Rañada and M. F. Rañada, Preprint Universidad Complutense UCMFT 82/2,Physica D 9, 251 (1983).
11.- A. F. Rañada, Int. J. Theor. Phys. 16, 795 (1977).
12.- A. F. Rañada and J. Usón, J. Math. Phys. 21, 1205 (1980); 22, 2533 (1981).
13.- C. Teitelboim, in Current Trends in the Theory of Fields (American Institute of Physics, New York, 1978).
14.- C. A. P. Galvao and C. Teitelboim, J. Math. Phys. 21, 1863 (1980).
15.- N. Kemmer, Proc. Roy. Soc. London 173, 91 (1939).
16.- E. Sudarshan and M. Mukhunda, Classical Mechanics: A Modern Perspective (Wiley, New York, 1974).
17.- A. F. Rañada and M. F. Rañada, Phys. Rev. D 29, 985 (1984).