Floquet theory and complex quasivibrational energy formalism for intense field molecular photodissociation
J. Chem. Phys. 75, 2215 (1981); doi:10.1063/1.442334
Issue Date: 1 September 1981
You are not logged in to this journal. Log in
A practical and nonperturbative method is presented for studying molecular photodissociation processes in the presence of (weak or intense) electromagnetic fields, using only square-integrable (L2) functions. By means of the complex coordinate transformation and L2 discretization of the vibrational continua, the complex quasivibrational energies (QVE) of the Floquet Hamiltonian can be determined by standard non-Hermitian eigenvalue analysis. The real parts of the QVE's provide the ac Stark-shifted vibronic energies, whereas the imaginary parts are related to the photodissociation transition rates. The theory is applied to the direct photodissociation of H
(1s
g–2p
u) in both weak and strong fields.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
g–2p
u) in both weak and strong fields.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
| Permalink: |
http://link.aip.org/link/?JCPSA6/75/2215/1 |
KEYWORDS and PACS
DISSOCIATION,
VIBRATIONAL STATES,
ELECTROMAGNETIC FIELDS,
HYDROGEN IONS 1 PLUS,
MOLECULAR IONS,
QUANTUM MECHANICS,
PHOTOLYSIS,
MOLECULES,
HAMILTONIANS
- 33.80.Gj
Molecular spectra and interactions of molecules with photons Molecular photon processes Diffuse spectra; predissociation, photodissociation - YEAR: 1981
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (21)
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, (No. 5), 23 (1978 ), and references therein. - See, for example, J.-M. Yuan and T. F. George, J. Chem. Phys. 68, 3040 (1978);
- See, for example, F. V. Bunkin and I. I. Tugov, Phys. Rev. A 8, 601 (1973).
- T. F. George, I. H. Zimmerman, J.-M. Yuan, J. R. Laing, and P. L. DeVries,
Acc. Chem. Res. 10, 449 (1977 ), and references therein. - D. R. Dion and J. O. Hirschfelder,
Adv. Chem. Phys. 35, 265 (1976 );
S. Autler and C. H. Townes, - See, for example, in Proceedings of the 1977 Sanibel Workshop on Complex Scaling, Int. J. Quantum Chem. 14, No. 4 (1978).
- G. Floquet,
Ann. de l'Ecole Norm. Suppl. 12, 47 (1883 ). - R. H. Young, W. J. Deal Jr., and N. R. Kestner,
Mol. Phys. 17, 369 (1969 );
Ya. Zel'dovich, - S.-I. Chu and W. P. Reinhardt, Phys. Rev. Lett. 39, 1195 (1977);
- S.-I. Chu,
Chem. Phys. Lett. 54, 367 (1978 ); - J. H. Shirley,
Phys. Rev. B 138, 979 (1965 ). - P. Lambropoulos,
Adv. At. Mol. Phys. 12, 87 (1976 ). - See, for example, A. Lami and N. K. Rahman,
Chem. Phys. Lett. 71, 353 (1980 ). - C. S. Lin and G. W. F. Drake,
Chem. Phys. Lett. 16, 35 (1972 ). - S.-I. Chu, J. Chem. Phys. 72, 4772 (1980).
- G. H. Dunn, Phys. Rev. 172, 1 (1968).
- The reason of adopting analytical forms of U(R) and µ12(R), besides its simplicity and usefulness, is due to the fact that complex coordinate trasnformation (Ref. 6) is known only applicable to analytic functions. The possibility of extending complex coordinate transformation to numerical potentials is being investigated in our laboratory.
- D. R. Bates, K. Ledsham, and A. L. Stewart,
Phil. Trans. R. Soc. London Ser. A 246, 215 (1953 ). - D. R. Bates, J. Chem. Phys. 19, 1122 (1951).
- Equation (24) is applicable only to the weak field, linear optical region. Nonlinear optical effects occur at stronger fields.
- See, for example, T. Uzer and A. Dalgarno,
Chem. Phys. Lett. 63, 22 (1979 ).
A. D. Bandrauk and M. L. Sink, J. Chem. Phys. 74, 1110 (1981).
C. Cohen-Tannoudji and S. Haroehe,
J. H. Shirley,
H. Sambe,
W. R. Salzman, Phys. Rev. A 10, 461 (1974);
J. M. Okuniewicz, J. Math. Phys. 15, 1587 (1974).








