Publication: An integrodifferential Dirac-equation with quantized charge in one space dimension
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1985
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Kluwer Academic
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Abstract
An integrodifferential Dirac equation in one space dimension is proposed, such that there is a close correspondence between its solutions and a subset of those of the sine-Gordon equation. It has solitonic solutions, quantized charge and positive definite energy density, so that it can be considered a spinorial version of sine-Gordon. Accordingly, it could be named the sine-Dirac equation.
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© 1985 by D. Reidel Publishing Company.
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1.- Seeger, A., Donth, H., and Kochendorfer, A., Z. Phys. 134, 173 (1953).
2.- Perring, J. K. and Skyrme, T. H., Nucl. Phys. 31, 550 (1962).
3.- Ablowitz, M. J., Kaup, D. J., Newell, A. C., and Segur, H., Phys. Rev. Lett. 31, 125 (1973).
--- Stud. Appl. Math. 53, 249 (1974).
4.- Thirring, W. E., Ann. Phys. (New York) 3, 91 (1958).
5.- Chang, S. J., Ellis, S. D., and Lee, B. W., Phys. Rev. D11, 3572 (1975).
6.- Mikhailov, A. V., JETP Lett. 23, 320 (1976).
7.- Kuznetsov, E. A. and Mikhailov, A. V., Theor. Math. Phys. 30, 303 (1977) (in Russian, English version: 30, 193 (1977)).
8.- Kaup, D. J. and Newell, A. C., Lett. Nuovo Cim. 20, 325 (1977).
9.- Kawata, T., Morishima, T., and Inoue, H., J. Phys. Soc. Jpn. 47, 1327 (1979).
10.- Gerdzhikov, V. S., Ivanov, M. I., and Kulish, P. P., Theor. Math. Phys. 44, 342 (1980) (in Russian, English version: 44, 784 (1981)).
11.- David, D., Harnard, J., and Shnider, S., Lett. Math. Phys. 8, 27 (1984).
12.- Coleman, S., Phys. Rev. D11, 2088 (1975).
13.- Orfanidis, S. J. and Wang, R., Phys. Lett. B57, 281 (1975).
14.- Martínez Alonso, L., Phys. Rev. D30, 2595 (1984).
15.- Skyrme, T. H., Proc. Roy. Soc. A260, 127 (1961).
16.- Skyrme, T. H., Nucl. Phys. 31, 556 (1962).
17.- Skyrme, T. H., J. Math. Phys. 12, 1735 (1971).
18.- Rañada, A. F. and Rañada, M. F., Physica D9, 251 (1983).
19.- Rañada, A. F. and Rañada, M. F., Phys. Rev. D29, 985 (1984).
20.- Rañada, A. F. An. Fis. A80, 91 (1984).
21.- Rañada, A. F., Proc. of III Int. Symp. Selected Topics in Statistical Mechanics, Dubna Editions, Soviet Union (1984), Vol. 2, p. 224.
22.- Rañada, A. F., in J. Aporta, D. González, and M. Quintanilla (eds.), Algunas cuestiones de fisica, Libro homenaje a J. Casas, Universidad de Zaragoza, 1985, p. 622.
23.- DeBroglie, L., Nonlinear Wave Mechanics, Elsevier, New York, 1960.