Hermiticity of the Hamiltonian matrix in a discrete variable representation

Journal of Chemical Physics

Volumn 107, Issue 21, 1997, Pages 9079-9084

  Tuvi, Inbal ^a   Band, Y B ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000847837     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475198     Document Type: Article

References (14)

1. Y. B. Band and I. Tuvi, J. Chem. Phys. 99, 9704 (1993); Phys. Rev. A 51, R3403 (1995).
2. Y. B. Band and I. Tuvi, J. Chem. Phys. 99, 9704 (1993); Phys. Rev. A 51, R3403 (1995).
3. E. F. van Dishoeck, M. C. van Hemert, A. C. Allison, and A. Dalgarno, J. Chem. Phys. 81, 5709 (1984).
4. M. Baer, in Advances in Chemical Physics edited by M. Baer and C. Y. Ng, (Wiley, N.Y. 1992), Vol. 82, p. 187.
5. R. D. Levine, Quantum Mechanics of Molecular Rate Processes (Oxford, London, 1969).
6. B. Podolsky, Phys. Rev. 32, 812 (1928).
7. E. Fattal, R. Baer, and R. Kosloff. Phys. Rev. E 53, 1217 (1996).
8. C. C. Marston and G. G. Balint-Kurti, J. Chem. Phys. 91, 3571 (1989).
9. D. T. Colbert and W. H. Miller, J. Chem. Phys. 96, 1082 (1992).
10. M. Monnerville and J. M. Robbe, J. Chem. Phys. 101, 7580 (1994).
11. ik(R). Since A is anti-Hermitian, the product AA is Hermitian, and thus B̃ is Hermitian.
12. C. J. Williams, E. Tiesinga. and P. S. Julienne, Phys. Rev. A 53, R1939 (1996);
13. E. Tiesinga, C. J. Williams, and P. S. Julienne, NIST J. Res. 101, 505 (1996).
14. For an even number of grid points, the sums in Eq. (34) are given by: equation presented