Abstract
Abstract A quantum mechanical theory of collisions of neutral open-shell particles in a magnetic field is described. The theory is based on the fully uncoupled spacefixed representation of the total wave function. Collisions of P-state, D-state and F-state atoms with structureless targets and 3∑-molecules with 2S-atoms are considered. The relations between the elements of the collision T-matrix and the transport cross section effective in diffusion are derived.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. L. Migdall, J. V. Prodan, W. D. Phillips, T. H. Bergeman, and H. J. Metcalf, Phys. Rev. Lett. 54, 2596 (1985).
J. D. Weinstein, R. deCarvalho, T. Guillet, B. Friedrich, and J. M. Doyle, Nature 395, 148–150 (1998)
T. G. Walker and W. Happer, Rev. Mod. Phys. 69, 629–642 (1997).
W. M. Huo, J. Chem. Phys. 52, 3110 (1970).
H. Kato, T. Kumauchi, K. Nishizawa, M. Baba, and K. Ishikawa, J. Chem. Phys. 98, 6684 (1993).
Y. Kimura, S. Kasahara, H. Kato, and M. Baba, Phys. Rev. A 67, 062717 (2003).
Y.-H. Uang, R. F. Ferrante, and W. C. Stwalley, J. Chem. Phys. 74, 6267 (1981).
B. Buijsse and W. J. van der Zande, Farad. Discuss. 108, 271 (1997).
R. F. Snider, Int. Rev. Phys. Chem. 17, 185 (1998).
A.M. Arthurs and A. Dalgarno, Proc. R. Soc. London, Ser. A 256, 540 (1960).
P. Schmelcher and L. S. Cederbaum, Comments on Modern Physics, part D 2, 123 (2000).
P. Schmelcher and L. S. Cederbaum, Phys. Rev. A 37, 672 (1988).
P. Schmelcher and L. S. Cederbaum, Phys. Rev. A 40, 3515 (1989).
P. Schmelcher, L. S. Cederbaum, and H. D. Meyer, J. Phys. B: At. Mol. Opt. Phys. 21, L445 (1988).
P. Schmelcher and L. S. Cederbaum, Phys. Rev. A 41, 4936 (1990).
T. Detmer, P. Schmelcher, and L. S. Cederbaum, J. Phys. B: At. Mol. Opt. Phys. 28, 2903 (1995).
T. Detmer, P. Schmelcher, F. K. Diakonos, and L. S. Cederbaum, Phys. Rev. A 56, 1825 (1997).
P. Schmelcher, T. Detmer, and L. S. Cederbaum, Phys. Rev. A 61, 043411 (2000).
P. Schmelcher and L. S. Cederbaum, Phys. Rev. A 64, 023410 (2001).
Y. Fukuda, Chem. Phys. 118, 119 (1987).
H. T. C. Stoof, J. M. V. A. Koelman, and B. J. Verhaar, Phys. Rev. A 38, 4688 (1988).
S. J. J. M. F. Kokkelmans and B. J. Verhaar, Phys. Rev. A 56, 4038 (1997).
E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A 47, 4114 (1993).
A. J. Moerdijk and B. J. Verhaar, Phys. Rev. A 53, R19 (1996).
E. Tiesinga, C. J. Williams, P. S. Julienne, K. M. Jones, P. D. Lett, and W. D. Phillips, J. Res. Natl. Stand. Technol. 101, 505 (1996).
F. H. Mies, C. J. Williams, P. S. Julienne, and M. Krauss, J. Res. Natl. Stand. Technol. 101, 521 (1996).
P. J. Leo, E. Tiesinga, P. S. Julienne, D. K. Walter, S. Kadlecek, and T. G. Walker, Phys. Rev. Lett. 81, 1389 (1998).
M. Houbiers, H. T. C. Stoof, W. I. McAlexander, and R. G. Hulet, Phys. Rev. A 57, R1497 (1998).
J. L. Bohn, J. P. Burke Jr., C. H. Greene, H. Wang, P. L. Gould, and W. C. Stwalley, Phys. Rev. A 59, 3660 (1999).
J. L. Bohn, Phys. Rev. A 61, 053409 (2000).
F. H. Mies, E. Tiesinga, and P. S. Julienne, Phys. Rev. A 61, 022721 (2000).
B. Zygelman and A. Dalgarno, J. Phys.. B: At. Mol. Opt. Phys. 35, L441 (2002).
V. Venturi, I. B. Whittingham, P. J. Leo, and G. Peach, Phys. Rev. A 60, 4635 (1999).
P. J. Leo, V. Venturi, I. B. Whittingham, and J. Babb, Phys. Rev. A 64, 042710 (2001).
B. Zygelman, to be published.
S. Appelt, A. Ben-Amar Baranga, C. J. Erickson, M. V. Romalis, A. R. Young, and W. Happer, Phys. Rev. A 58, 1412 (1998).
R. V. Krems and A. Dalgarno, Phys. Rev. A 68, 013406 (2003).
A. Derevianko, S. G. Porsev, S. Kotochigova, E. Tiesinga, and P. S. Julienne, Phys. Rev. Lett. 90, 063002 (2003).
R. Santra, and C. H. Greene, Phys. Rev. A 67, 062713 (2003).
V. Kokoouline, R. Santra, and C. H. Greene, Phys. Rev. Lett. 90, 253201 (2003).
A. Volpi and J. L. Bohn, Phys. Rev. A 65, 052712 (2002).
R. V. Krems and A. Dalgarno, J. Chem. Phys. 120, 2296 (2004).
R. V. Krems, H. R. Sadeghpour, A. Dalgarno, D. Zgid, J. Klos and G. Chalasinski, Phys. Rev. A 68, 051401 (2003).
Although for practical calculations one should always use this restriction of the summations, it is not necessary. Because the coupling matrix U is diagonal in the total angular momentum projection M, the elements of the scattering S-matrix between the states of different projections M will always be zero.
R. N. Zare, Angular momentum, John Wiley and Sons, Inc. (1988).
V. Aquilanti and G. Grossi, J. Chem. Phys. 73, 1165 (1980).
M. Mizushima, The Theory of Rotating Diatomic molecules, John Wiley and Sons, Inc. (1975).
C. Cohen-Tannoudji, B. Diu, and F. Laloë, “Quantum Mechanics”, v. 2, Hermann (1977).
W-K. Liu, F. R. McCourt, D. E. Fitz, and D. J. Kouri, J. Chem. Phys. 71, 415 (1979).
W.-K. Liu, F. R. McCourt, D. E. Fitz, and D. J. Kouri, J. Chem. Phys. 76, 5112 (1982).
W.-K. Liu, F. R. McCourt, D. E. Fitz, D. J. Kouri, J. Chem. Phys. 75, 1496 (1981).
D. E. Fitz, D. J. Kouri, D. Evans, and D. K. Hoffman, J. Chem. Phys. 74, 5022 (1981).
W. K. Liu, A. S. Dickinson, and F. R. W. McCourt, Mol. Phys. 71, 1131 (1990) .
M. J. Smith, S. Shi, H. Rabitz, and F. R. W. McCourt, J. Chem. Phys. 94, 7125 (1991).
G. B. Clark and F. R. W. McCourt, Chem. Phys. Lett. 236, 229 (1995).
F. A. Gianturco, N. Sanna, and S. Sema, J. Chem. Phys. 98, 3833 (1993).
F. A. Gianturco, S. Sema, and A. V. Storozhev, Comp. Phys. Commun. 103, 251 (1997).
O. H. Crawford, A. Dalgarno, and P.B. Hays, Mol. Phys. 13, 181 (1967).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Krems, R., Dalgarno, A. (2004). Collisions of Atoms and Molecules in External Magnetic Fields. In: Brändas, E.J., Kryachko, E.S. (eds) Fundamental World of Quantum Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0448-9_14
Download citation
DOI: https://doi.org/10.1007/978-94-017-0448-9_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6687-9
Online ISBN: 978-94-017-0448-9
eBook Packages: Springer Book Archive