Discretization and solution of the inhomogeneous Bogoliubov-de Gennes equations

Computer Physics Communications

Volumn 161, Issue 3, 2004, Pages 119-128

  McPeake, Dermot ^a   McCann, J F ^b  

^a UNIVERSITY COLLEGE CORK   (Ireland)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

Bogoliubov de Gennes; Bose Einstein condensate; Discrete variable representation; Inhomogeneous; Nonlinear PDE

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; FREQUENCIES; HAMILTONIANS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; PROBLEM SOLVING; QUANTUM THEORY;

BOGOLIUBOV-DE GENNES EQUATIONS (BDG); BOSE-EINSTEIN CONDENSATE; DISCRETE VARIABLE REPRESENTATION (DVR); INHOMOGENEOUS; NONLINEAR PDE;

NONLINEAR EQUATIONS;

EID: 3142562923     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2004.04.007     Document Type: Article

References (14)

1. Anderson M.H., et al. Science. 269:1995;198.
2. Davis K.B., , et al. Phys. Rev. Lett. 75:1995;3969.
3. Dalfovo F., Giorgini S., Pitaevskii L.P., Stringari S. Rev. Mod. Phys. 71:1999;463.
4. Bogoliubov N. Izv. Akad. Nauk. SSSR. 11:1947;77.
5. Nilsen H.M., McPeake D., McCann J.F. J. Phys. B: At. Mol. Opt. Phys. 36:2003;1703.
6. McPeake D., McCann J.F. Phys. Rev. A. 68:2003;053610.
7. Baye D., Heenen P.H. J. Phys. A: Math. Gen. 19:1986;2041.
8. Light J.C. Broeckhove J., Lathouwers L. Time-Dependent Quantum Molecular Dynamics. 1992;Plenum, New York.
9. Schneider B.I., Feder D.L. Phys. Rev. A. 59:1999;2232.
10. McPeake D., Nilsen H.M., McCann J.F. Phys. Rev. A. 65:2002;060601.
11. Abramowitz M.A., Stegun I.E. Handbook of Mathematical Functions and Tables. 1965;Dover, New York.
12. Burden R.L., Faires J.D. Numerical Analysis. seventh ed. 2001;Brooks/Cole, CA.
13. Fletcher C.A.J. Computational Techniques for Fluid Dynamics. 1991;Springer-Verlag, Berlin.
14. Kohn W. Phys. Rev. 123:1961;1242.