RT Journal Article T1 An integrodifferential Dirac-equation with quantized charge in one space dimension A1 Fernández-Rañada, Antonio AB 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. PB Kluwer Academic SN 0377-9017 YR 1985 FD 1985 LK https://hdl.handle.net/20.500.14352/64898 UL https://hdl.handle.net/20.500.14352/64898 NO 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. NO © 1985 by D. Reidel Publishing Company. DS Docta Complutense RD 4 may 2024