Numerical solver of the time-dependent Schrödinger equation with Coulomb singularities

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 4, 2006, Pages

  Gordon, Ariel ^a   Jirauschek, Christian ^a   Kärtner, Franz X ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATION THEORY; COMPUTATIONAL METHODS; HAMILTONIANS; NONLINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

ASYMPTOTIC BEHAVIOR CORRESPONDENCE (ABC); COULOMB SINGULARITIES; DISCRETIZATION; MOLECULAR SYSTEMS;

COULOMB BLOCKADE;

EID: 33646382604     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.042505     Document Type: Article

References (20)

1. C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91) 90137-A 94, 59 (1991).
2. K. J. LaGattuta, J. Opt. Soc. Am. B JOBPDE 0740-3224 7, 639 (1990).
3. I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1251 78, 1251 (1997).
4. S. X. Hu and L. A. Collins, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013407 70, 013407 (2004).
5. J. C. Wells, D. R. Schultz, P. Gavras, and M. S. Pindzola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.593 54, 593 (1996).
6. A. Kolakowska, M. S. Pindzola, F. Robicheaux, D. R. Schultz, and J. C. Wells, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2872 58, 2872 (1998).
7. E. Cormier and P. Lambropoulos, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/30/1/010 30, 77 (1997).
8. H. G. Muller, Laser Phys. LAPHEJ 1054-660X 9, 138 (1999).
9. D. Bauer and P. Koval, Comput. Phys. Commun. CPHCBZ 0010-4655 174, 396 (2006).
10. S. E. Koonin, K. T. R. Davies, V. Maruhn-Rezwani, H. Feldmeier, S. J. Krieger, and J. W. Negele, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.15. 1359 15, 1359 (1977).
11. K. C. Kulander, K. J. Schafer, and J. L. Krause, in Atoms in Intense Radiation Fields, edited by, M. Gavrila, (Academic, New York, 1992).
12. J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.4998 45, 4998 (1992).
13. K. C. Kulander, K. R. Sandhya Devi, and S. E. Koonin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.2968 25, 2968 (1982).
14. J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3535 68, 3535 (1992).
15. A. Gordon, R. Santra, and F. X. Kärtner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063411 72, 063411 (2005).
16. J. Caillat, J. Zanghellini, M. Kitzler, O. Koch, W. Kreuzer, and A. Scrinzi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012712 71, 012712 (2005).
17. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, New York, 1992).
18. A. Gordon and F. X. Kärtner, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.13.002941 13, 2941 (2005).
19. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977).
20. M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L'Huillier, and P. B. Corkum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.2117 49, 2117 (1994).