The nonlinear Dirac equation in Bose–Einstein condensates: Foundation and symmetries

作者: L.H. Haddad , L.D. Carr

DOI: 10.1016/J.PHYSD.2009.02.001

关键词:

摘要: … Unlike nonlinear Dirac equations posited by … , the nonlinear Dirac equation for Bose–Einstein condensates breaks this symmetry. We present a rigorous derivation of the nonlinear Dirac …

参考文章(44)
Jean Hladik, Spinors in Physics ,(1999)
Renat Zhdanov, Wilhelm Fushchych, SYMMETRIES AND EXACT SOLUTIONS OF NONLINEAR DIRAC EQUATIONS arXiv: Mathematical Physics. ,(2006)
P. Krekora, Q. Su, R. Grobe, Relativistic electron localization and the lack of Zitterbewegung. Physical Review Letters. ,vol. 93, pp. 043004- ,(2004) , 10.1103/PHYSREVLETT.93.043004
Ilya M Merhasin, Boris A Malomed, Four-wave solitons in Bragg cross-gratings Journal of Optics B-quantum and Semiclassical Optics. ,vol. 6, ,(2004) , 10.1088/1464-4266/6/5/022
P Blair Blakie, Charles W Clark, Wannier states and Bose–Hubbard parameters for 2D optical lattices Journal of Physics B. ,vol. 37, pp. 1391- 1404 ,(2004) , 10.1088/0953-4075/37/7/002
Neşet Aközbek, Sajeev John, Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures Physical Review E. ,vol. 57, pp. 2287- 2319 ,(1998) , 10.1103/PHYSREVE.57.2287
W. Heisenberg, H. Euler, Folgerungen aus der Diracschen Theorie des Positrons European Physical Journal. ,vol. 98, pp. 714- 732 ,(1936) , 10.1007/BF01343663
Hans Euler, Über die Streuung von Licht an Licht nach der Diracschen Theorie Annalen der Physik. ,vol. 418, pp. 398- 448 ,(1936) , 10.1002/ANDP.19364180503
Gediminas Juzeliūnas, Julius Ruseckas, Markus Lindberg, Luis Santos, Patrik Öhberg, Quasirelativistic behavior of cold atoms in light fields Physical Review A. ,vol. 77, pp. 011802- ,(2008) , 10.1103/PHYSREVA.77.011802
Thierry Cazenave, Luis Vazquez, Existence of localized solutions for a classical nonlinear Dirac field Communications in Mathematical Physics. ,vol. 105, pp. 35- 47 ,(1986) , 10.1007/BF01212340