×
Franz, Jan

Solution of coupled integral equations for quantum scattering in the presence of complex potentials. (English) Zbl 1305.81130

J. Math. Phys. 56, No. 1, 012104, 6 p. (2015).
Summary: In this paper, we present a method to compute solutions of coupled integral equations for quantum scattering problems in the presence of a complex potential. We show how the elastic and absorption cross sections can be obtained from the numerical solution of these equations in the asymptotic region at large radial distances.{
©2015 American Institute of Physics}

MSC:

81U05 \(2\)-body potential quantum scattering theory
45F05 Systems of nonsingular linear integral equations
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
PDF BibTeX XML Cite
\textit{J. Franz}, J. Math. Phys. 56, No. 1, 012104, 6 p. (2015; Zbl 1305.81130)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Moiseyev, N., Non-Hermitian Quantum Mechanics, (2011), Cambridge University Press: Cambridge University Press, Cambridge · Zbl 1230.81004
[2] Moiseyev, N., Phys. Rep., 302, 211, (1998)
[3] Calogero, F., Variable Phase Approach to Potential Scattering, (1967), Academic Press: Academic Press, New York · Zbl 0193.57501
[4] Huarte-Larranage, F.; Gimenez, X.; Aguilar, A., J. Chem. Phys., 109, 5761, (1998)
[5] Sams, W. N.; Kouri, D. J., J. Chem. Phys., 51, 4809, (1969)
[6] Sams, W. N.; Kouri, D. J., J. Chem. Phys., 51, 4815, (1969)
[7] Sams, W. N.; Kouri, D. J., J. Chem. Phys., 52, 4144, (1970)
[8] Hayes, E. F.; Kouri, D. J., J. Chem. Phys., 54, 878, (1971)
[9] Sams, W. N.; Kouri, D. J., J. Chem. Phys., 53, 1299, (1970)
[10] Sams, W. N.; Kouri, D. J., J. Chem. Phys., 53, 496, (1970)
[11] Eastes, W.; Secrest, D., J. Chem. Phys., 56, 640, (1972)
[12] Choi, B. H.; Tang, K. T., J. Chem. Phys., 63, 1775, (1975)
[13] Gianturco, F. A., The Transfer of Molecular Energies by Collision: Recent Quantum Treatments, (1979), Springer-Verlag: Springer-Verlag, Berlin
[14] Curik, R.; Gianturco, F. A.; Sanna, N., J. Phys. B: At., Mol. Opt. Phys., 33, 2705, (2000)
[15] Curik, R.; Gianturco, F. A.; Sanna, N., Int. J. Quantum Chem., 84, 565, (2001)
[16] Franz, J.; Gianturco, F. A., Phys. Rev. A, 88, 042711, (2013)
[17] Franz, J.; Gianturco, F. A., J. Chem. Phys., 139, 204309, (2013)
[18] Franz, J.; Gianturco, F. A.; Baccarelli, I., Eur. J. Phys. D, 68, 183, (2014)
[19] Franz, J.; Gianturco, F. A., Eur. J. Phys. D, 68, 279, (2014)
[20] Sanna, N.; Baccarelli, I.; Morelli, G., Comput. Phys. Commun., 180, 2550, (2009) · Zbl 1197.81024
[21] Staszewska, G.; Schwenke, D. W.; Thirumalai, D.; Truhlar, D. G., Phys. Rev. A, 28, 2740, (1983)
[22] Blanco, F.; Garcia, G., Phys. Lett. A, 255, 147, (1999)
[23] Blanco, F.; Garcia, G., Phys. Lett. A, 295, 178, (2002)
[24] Reid, D. D.; Wadehra, J. M., J. Phys. B: At., Mol. Opt. Phys., 29, L127, (1996)
[25] Reid, D. D.; Wadehra, J. M., J. Phys. B: At., Mol. Opt. Phys., 30, 2318, (1997)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.