Complex quasivibrational energy formalism for intense-field multiphoton and above-threshold dissociation: Complex-scaling Fourier-grid Hamiltonian method
J. Chem. Phys. 94, 7901 (1991); doi:10.1063/1.460125
Issue Date: 15 June 1991
You are not logged in to this journal. Log in
We present a new complex-scaling Fourier-grid Hamiltonian (CSFGH) method for accurate and efficient determination of laser-induced (multichannel) molecular resonance states without the use of basis set expansions. The method requires neither the computation of potential matrix elements nor the imposition of boundary conditions, and the eigenvectors provide directly the values of the resonance wave functions at the space grid points. The procedure is particularly valuable for excited-state problems where basis set expansion methods face the challenge. The simplicity and usefulness of the CSFGH method is demonstrated by a case study of the intensity-dependent complex quasivibrational energy eigenvalues (ER, −
/2) and eigenvectors associated with multiphoton and above-threshold dissociation of H
ions in the presence of intense laser fields (I=1012–1014 W/cm2 ).
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
/2) and eigenvectors associated with multiphoton and above-threshold dissociation of H| History: | Received 9 July 1990; accepted 7 March 1991 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/94/7901/1 |
KEYWORDS and PACS
MULTI&minus,
PHOTON PROCESSES,
DISSOCIATION,
LASER RADIATION,
ELECTROMAGNETIC FIELDS,
HYDROGEN IONS,
MOLECULAR IONS,
TERAWATT POWER RANGE,
VIBRATIONAL STATES,
HAMILTONIAN FUNCTION,
POLYATOMIC MOLECULES
- 33.80.Wz
Molecular spectra and interactions of molecules with photons Photon interactions with molecules Other multiphoton processes - YEAR: 1990-91
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (25)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- N. Bloembergen and E. Yablonovitch, Phys. Today 31, 23 (1978);
- See, for example, V. S. Letokhov, Nonlinear Laser Chemistry (Springer, New York, 1983);
- A. Carrington and J. Buttenshaw,
Mol. Phys. 44, 267 (1981 ). - S. I. Chu, C. Laughlin, and K. K. Datta, Chem. Phys. Lett. 98, 476 (1983).
- C. Laughlin, K. K. Datta, and S. I. Chu, J. Chem. Phys. 85, 1403 (1986).
- C. Cornaggia, D. Normand, J. Morellec, G. Mainfray, and C. Manus, Phys. Rev. A 34, 207 (1986);
- T. S. Luk and C. K. Rhodes, Phys. Rev. A 38, 6180 (1988).
- P. H. Bucksbaum, A. Zavriyev, H. G. Muller, and D. W. Schumacher, Phys. Rev. Lett. 64, 1883 (1990).
- (a) X. He, O. Atabek, and A. Giusti-Sugor, Phys. Rev. A 38, 5586 (1988);
- See, for example, P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. Rahman, Phys. Rev. Lett. 42, 1127 (1979);
- S. I. Chu, J. Chem. Phys. 75, 2215 (1981).
- (a) For other time-independent methods for strong field problems, see, for example, T. F. George,
J. Phys. Chem. 86, 10 (1982 );
A. D. Bandrauk, and G. Turcotte, - S. I. Chu,
Adv. At. Mol. Phys. 21, 197 (1985 ); - J. H. Shirley,
Phys. Rev. B 138, 979 (1965 ). - A. Dalgarno and J. T. Lewis,
Proc. Roy. Soc. A 233, 70 (1955 ). - E. Balslev and J. M. Combes,
Commun. Math. Phys. 22, 280 (1971 );
B. Simon, - B. R. Junker, Adv. At. Mol. Phys. 18, 208 (1982);
- S. I. Chu and W. P. Reinhardt, Phys. Rev. Lett. 39, 1195 (1977);
- S. I. Chu and J. Cooper, Phys. Rev. A 32, 2769 (1985);
- S. I. Chu,
Chem. Phys. Lett. 167, 155 (1990 ). - C. C. Marston and G. G. Balint-Kurti, J. Chem. Phys. 91, 3571 (1989).
- F. V. Bunkin and I. I. Tugov, Phys. Rev. A 8, 601 (1973).
- D. R. Bates, J. Chem. Phys. 19, 1122 (1951);
- M. K. Chakrabarti, S. S. Bhattacharya, and S. Saha,
J. Phys. B 21, 3717 (1988 ). - T. F. George, I. H. Zimmerman, J. M. Yuan, J. R. Laing, and P. L. DeVries,
Acc. Chem. Res. 10, 449 (1977 );
S. I. Chu,
Advances in Multiphoton Processes and Spectroscopy, edited by S. H. Lin (World Scientific, Singapore, 1984, 1986, 1988).
(b) A. Giusti-Sugor, X. He, O. Atabek, and F. H. Mies, Phys. Rev. Lett. 64, 515 (1990).
R. R. Freeman, T. J. McIlrath, P. H. Bucksbaum and M. Bashkansky, Phys. Rev. Lett. 57, 3156 (1986).
K. B. Whaley and J. C. Light, J. Chem. Phys. 77, 1818 (1982);
C. Leforestier and R. E. Wyatt, Phys. Rev. A 25, 1250 (1982).
(b) Time-dependent methods for strong field problems can be found, for example, in R. Heather and H. Metiu, J. Chem. Phys. 88, 5496 (1988);
S. I. Chu and T. F. Jiang,
A. D. Bandrauk and M. L. Sink, J. Chem. Phys. 74, 1110 (1981);
A. M. F. Lau, Phys. Rev. A 14, 279 (1976).








