Abstract
We discuss the semiclassical formalism for calculating cross sections in photodissociation of small molecules. The general procedures for calculating the smooth background in the classical limit and the leading order quantum corrections, as well as for the semiclassical periodic orbit and recurrent orbit contributions are outlined. As a specific example, we discuss an application to the photodissociation spectrum of H2O.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Andresen P., Ondrey G.S., Titze B. and Rothe E.W. (1984): J. Chem. Phys. 80, 2548
Artuso R., Aurell E. and Cvitanović P. (1990): Nonlinearity 3, 325; Nonlinearity 3, 361
Berry M.V. and Howls C.J. (1994): Proc. R. Soc. Lond. A 447, 527–555
Bogomolny E.B. and Keating J. (1996): Phys. Rev. Lett. 77, 1472
Bohigas O. (1991): in Chaos and Quantum Physics, Proceedings of the NATO ASI Les Houches Summer School August 1989, (ed. M.-J. Giannoni, A. Voros and J. Zinn-Justin), 87–199, Amsterdam: North Holland
Cvitanović P. and Eckhardt B. (1989): Phys. Rev. Lett. 63, 823
Cvitanović P. and Eckhardt B. (1993): Nonlinearity 6, 277
Eckhardt B. and Wintgen D. (1990): J. Phys. B: At. Mol. Opt. 23, 355
Eckhardt B. (1992a) in Quantum Chaos, (ed. G. Casati, I. Guarneri and U. Smilansky), 77, Amsterdam: North Holland
Eckhardt B., Fishman S., Müller K. and Wintgen D. (1992b): Phys. Rev. A 45, 3531
Eckhardt B. and Russberg G. (1993): Phys. Rev. E 47, 1578
Eckhardt B., Russberg G., Cvitanović P., Rosenquist P.E. and Scherer P. (1995a) in Quantum Chaos between Order and Disorder, (ed. G. Casati & B. Chirikov), 405–433, Cambridge University Press
Eckhardt B., Fishman S., Keating J., Agam O., Main J. and Müller K. (1995b): Phys. Rev. E 52, 5893
Engel V., Schinke R. and Staemmler V. (1988): J. Chem. Phys. 88, 129
Engel V., Staemmler V., Van der Wal R. L., Crim F. F., Sension R. J., Hudson B., Andresen P., Hennig S., Weide K. and Schinke R. (1992): J. Phys. Chem. 96, 3201
Ezra G., Richter K., Tanner G. and Wintgen D. (1991): J. Phys. B: At. Mol. Opt. 24, L413
Feynman R.P. and Hibbs A.R. (1965): Quantum Mechanics and Path Integrals, McGraw-Hill Book Company, Inc., New York
Gay J.C. (ed.) (1994) in Irregular Atomic Systems and Quantum Chaos, Gordon & Breach, Philadelphia
Gomez Llorente J. M. and Pollak E. (1992): Annu. Rev. Phys. Chem. 43, 91–126
Grammaticos B. and Voros A. (1979), Ann. Phys. (NY) 123, 359
Gutzwiller M.C.: J. Math. Phys. 8, 1979 (1967); 10, 1004 (1969); 11, 1791 (1970); 12, 343 (1971)
Haake F. (1991): Quantum Signatures of Classical Chaos, Springer, New York
Hansen K.T. (1995): Phys. Rev. E 51, 1838
Heller E.J. (1978): J. Chem. Phys. 68, 2066
Heller E.J. (1991) in Chaos and Quantum Physics, Proceedings of the NATO ASI Les Houches Summer School August 1989, (ed. M.-J. Giannoni, A. Voros and J. Zinn-Justin), 549, Amsterdam: North Holland
Henriksen N. E., Zhang J. and Imre D. G. (1988): J. Chem. Phys. 89, 5607
Hillery M., O'Connell R.F., Scully M.O. and Wigner E.P. (1984): Phys. Rep. 106, 121
Main J., Wiebusch G., Welge K., Shaw J. and Delos J. B. (1994): Phys. Rev. A 49, 847
Porter C.E. (1965): Statistical Theories of Spectra: Fluctuations., Academic Press
Schinke R. (1993): Photodissociation Dynamics, Cambridge University Press
Simon B. (1979): Functional Integration and Quantum Physics, Academic, New York
Stein J. and Stöckmann H.J. (1992): Phys. Rev. Lett. 68, 2867
Voros A. (1988): J. Phys. A: Math. Gen. 21, 685
Wigner E.P. (1932): Phys. Rev. 40, 749
Wintgen D. (1987): Phys. Rev. Lett. 58, 1589
Zobay O. and Alber G. (1994): J. Phys. B: At. Mol. Opt. 26, L539
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this paper
Cite this paper
Eckhardt, B., Hüpper, B. (1997). Semiclassical cross sections. In: Friedrich, H., Eckhardt, B. (eds) Classical, Semiclassical and Quantum Dynamics in Atoms. Lecture Notes in Physics, vol 485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105969
Download citation
DOI: https://doi.org/10.1007/BFb0105969
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63004-3
Online ISBN: 978-3-540-69055-9
eBook Packages: Springer Book Archive