Discrete variable representation for singular Hamiltonians

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 2, 2004, Pages

  Schneider, Barry I ^a,b   Nygaard, Nicolai ^a,c  

^a NATIONAL SCIENCE FOUNDATION   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING;

DISCRETE VARIABLE REPRESENTATION (DVR); GAUSS-LOBATTO QUADRATURE; GAUSS-RADAU QUADRATURE; HAMILTONIAN MATRIX;

HAMILTONIANS;

EID: 41349089681     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.056706     Document Type: Article

References (14)

1. A. S. Dickenson and P. R. Certain, J. Chem. Phys. 49, 1515 (1965).
2. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985); S. E. Choi and J. C. Light, ibid. 90, 2593 (1989)
3. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985); S. E. Choi and J. C. Light, ibid. 90, 2593 (1989)
4. D. Baye and P.-H. Heenen, J. Phys. A 19, 2041 (1986)
5. D. E. Manolopoulos and R. E. Wyatt, Chem. Phys. Lett. 152, 23 (1988)
6. J. T. Muckerman, Chem. Phys. Lett. 173, 200 (1990); F. J. Lin and J. T. Muckerman, Comput. Phys. Commun. 63, 538 (1991)
7. J. T. Muckerman, Chem. Phys. Lett. 173, 200 (1990); F. J. Lin and J. T. Muckerman, Comput. Phys. Commun. 63, 538 (1991)
8. B. I. Schneider and Nicolai Nygaard, J. Phys. Chem. A 106, 10773 (2002).
9. T. N. Rescigno and C. W. McCurdy, Phys. Rev. A 62, 032706 (2000)
10. B. I. Schneider, J. Non-Cryst. Solids (to be published).
11. M. Vincke, L. Malegat, and D. Baye, J. Phys. B 26, 811 (1993).
12. L. Malegat and M. Vincke, J. Phys. B 27, 645 (1994).
13. L. Malegat, J. Phys. B 27, L691 (1994)
14. Z. Kopal, Numerical Analysis (Wiley, New York, 1961).