@article{TMF_2020_203_2_a7,
author = {S. L. Yakovlev},
title = {Asymptotic solution of {a~Coulomb} multichannel scattering problem with},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {269--279},
year = {2020},
volume = {203},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a7/}
}
S. L. Yakovlev. Asymptotic solution of a Coulomb multichannel scattering problem with. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 269-279. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a7/
[1] N. F. Mott, H. S. W. Massey, The Theory of Atomic Collisions, Clarendon Press, Oxford, 1949
[2] C. A. Mead, D. G. Truhlar, “Conditions for the definition of a strictly diabatic electronic basis for molecular systems”, J. Chem. Phys., 77:12 (1982), 6090–6098 | DOI
[3] B. D. Esry, H. R. Sadeghpour, “Split diabatic representation”, Phys. Rev. A, 68:4 (2003), 042706, 8 pp. | DOI
[4] J. B. Delos, W. R. Thorson, “Diabatic and adiabatic representations for atomic collision processes”, J. Chem. Phys., 70:4 (1979), 1774–1790 | DOI
[5] J. B. Delos, “Theory of electronic transitions in slow atomic collisions”, Rev. Modern Phys., 53:2 (1981), 287–357 | DOI
[6] M. Gargaud, J. Hanssen, R. McCarroll, P. Valiron, “Charge exchange with multiply charged ions at low energies: application to the N$^{3+}$/H and C$^{4+}$/H systems”, J. Phys. B, 14:13 (1981), 2259–2276 | DOI
[7] A. Macias, A. Riera, “Ab initio quantum chemistry in the molecular model of atomic collisions”, Phys. Rep., 90:5 (1982), 299–376 | DOI
[8] J. Grosser, T. Menzel, A. K. Belyaev, “Approach to electron translation in low-energy atomic collisions”, Phys. Rev. A, 59:2 (1999), 1309–1316 | DOI
[9] A. K. Belyaev, D. Egorova, J. Grosser, T. Menzel, “Electron translation and asymptotic couplings in low-energy atomic collisions”, Phys. Rev. A, 64:5 (2001), 052701, 9 pp. | DOI
[10] V. I. Korobov, “Multichannel scattering with velocity-dependent asymptotic potentials”, J. Phys. B, 27:4 (1994), 733–745 | DOI
[11] S. L. Yakovlev, E. A. Yarevskii, N. O. Elander, A. K. Belyaev, “Ob asimptoticheskom reshenii mnogokanalnoi zadachi rasseyaniya s neadiabaticheskoi svyazyu kanalov”, TMF, 195:3 (2018), 437–450 | DOI | DOI
[12] W. Wasow, Asymptotic Expansions for Ordinary Differential Equations, Pure and Applied Mathematics, 14, Wiley and Sons, New York, 1965 | MR | Zbl
[13] A. K. Belyaev, A. Dalgarno, R. McCarroll, “The dependence of nonadiabatic couplings on the origin of electron coordinates”, J. Chem. Phys., 116:13 (2002), 5395–5400 | DOI
[14] A. K. Belyaev, “Revised Born–Oppenheimer approach and a reprojection method for inelastic collisions”, Phys. Rev. A, 82:6 (2010), 060701, 4 pp., arXiv: 1011.1583 | DOI
[15] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam s formulami, grafikami i matematicheskimi tablitsami, Nauka, M., 1979 | MR | MR | Zbl
[16] M. V. Volkov, S. L. Yakovlev, E. A. Yarevsky, N. Elander, “Potential splitting approach to multichannel Coulomb scattering: the driven Schrödinger equation formulation”, Phys. Rev. A, 83:3 (2011), 032722, 12 pp., arXiv: 1102.0549 | DOI
[17] M. V. Volkov, S. L. Yakovlev, E. A. Yarevsky, N. Elander, “Adiabatic versus diabatic approach to multichannel Coulomb scattering for mutual neutralisation reaction $\text{H}^++\text{H}^-\to \text{H}_2^*\to \text{H}(1)+\text{H}(n)$”, Chem. Phys., 462 (2015), 57–64 | DOI