RT Journal Article
T1 Absence of dissipative solutions of the schrodinger and klein-gordon equations with logarithmic
A1 Brito, Ricardo
A1 Cuesta, José Antonio
A1 Fernández-Rañada, Antonio
AB It is shown that neither the Schrödinger equation nor the Klein-Gordon one with logarithmic nonlinearities have dissipative solutions. In the case of one-dimensional space, numerical experiments with different Cauchy data, in the nonrelativistic case, lead always to final states consisting only in oscillating gaussons.
PB Elsevier
SN 0375-9601
YR 1988
FD 1988-04-11
LK https://hdl.handle.net/20.500.14352/58708
UL https://hdl.handle.net/20.500.14352/58708
LA eng
NO 1. I. Bialynicki-Birula and I. Mycielski, Ann. Phys. (NY) 100 (1976) 65.2. J. Oficjalski and I. Bialynicki-Birula, Acta Phys. Pol. B 9 (1978) 759.3. A. Shimony, Phys. Rev. A 20 (1979) 394.4. C. G. Shull, D. K. Atwood, J. Arthur and M. A. Horne, Phys. Rev. Lett. 44 (1980) 765.5. R. Gähler, A. G. Klein and A. Zeilinger, Phys. Rev. A 23 (1981) 1611.6. E. F. Hefter, Phys. Rev. A 32 (1985) 1201.7. Th. Cazenave and A. Haraux, Ann. Fac. Sci. Univ. Toulouse 2 (1980) 21.8. Th. Cazenave, Nonlin. Anal. Theory Methods Appl. 7, No. 10 (1983) 1127.9. Ph. Blanchard, J. Stubbe and L. Vázquez, Ann. Inst. Henri Poincaré, to be published.10. T. F. Morris, Phys. Lett. B 76 (1978) 337.11. J. Werle, Phys. Lett. B 71 (1977) 36712. A. Goldberg, H. M. Schey and J. L. Schwartz, Am. J. Phys. 35 (1967) 177.
NO © Elsevier Science Publishers B.V. We are grateful to Professor A. Alvarez and Professor L. Vázquez for discussions. This work has been partially supported by Dirección General de Investigación Científica y Técnica, under grant PB86-0005.
NO Dirección General de Investigación Científica y Técnica
DS Docta Complutense
RD 27 abr 2024