Geodesic
Dissociation and formation of negative ions in slow collisions with atoms. Allowance for the quantum-mechanical nature of the motion of atoms in the case of horizontal position of the boundary of the continuous spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 74-85 
A. Z. Devdariani; Yu. N. Demkov. Dissociation and formation of negative ions in slow collisions with atoms. Allowance for the quantum-mechanical nature of the motion of atoms in the case of horizontal position of the boundary of the continuous spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 74-85. http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a6/
@article{TMF_1974_21_1_a6,
     author = {A. Z. Devdariani and Yu. N. Demkov},
     title = {Dissociation and formation of negative ions in slow collisions with atoms. {Allowance} for the quantum-mechanical nature of the motion of atoms in the case of horizontal position of the boundary of the continuous spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {74--85},
     year = {1974},
     volume = {21},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a6/}
}
TY  - JOUR
AU  - A. Z. Devdariani
AU  - Yu. N. Demkov
TI  - Dissociation and formation of negative ions in slow collisions with atoms. Allowance for the quantum-mechanical nature of the motion of atoms in the case of horizontal position of the boundary of the continuous spectrum
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 74
EP  - 85
VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a6/
LA  - ru
ID  - TMF_1974_21_1_a6
ER  - 
%0 Journal Article
%A A. Z. Devdariani
%A Yu. N. Demkov
%T Dissociation and formation of negative ions in slow collisions with atoms. Allowance for the quantum-mechanical nature of the motion of atoms in the case of horizontal position of the boundary of the continuous spectrum
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 74-85
%V 21
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a6/
%G ru
%F TMF_1974_21_1_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the method of a short-range potential, a study is made of the dissociation of negative ions in a collision, $A+B^-$, and their creation in scattering, $A+B+e$. In contrast to earlier papers, the motion of the atoms is treated quantum-mechanically. If one makes the natural assumption that the term of the system $AB$ depends weakly on the internuclear distance, the problem reduces to the solution of Helmholtz's equation on a halfplane with mixed boundary condition that depends linearly on the coordinate. An exact analytic solution of this problem is found. A formula is derived for the dissociation cross section near the reaction threshold. The conditions are investigated under which the formulas go over into those previously obtained for classical motion of the atoms.

[1] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, § 90, Fizmatgiz, 1963

[2] A. V. Chaplik, ZhETF, 45 (1963), 1518 | Zbl

[3] Yu. N. Demkov, ZhETF, 46 (1964), 1126

[4] A. Z. Devdariani, Yu. N. Demkov, Vestn. LGU, ser. fiz. khim., 1971, no. 16, 23

[5] A. Z. Devdariani, TMF, 11 (1972), 213

[6] V. V. Shevchenko, Plavnye perekhody v otkrytykh volnovodakh, «Nauka», 1969

[7] Yu. N. Demkov, Vestn. LGU, ser. fiz. khim., 1966, no. 4, 7

[8] Yu. N. Demkov, V. I. Osherov, ZhETF, 53 (1967), 1589

[9] R. Z. Vitlina, A. V. Chaplik, ZhETF, 52 (1967), 959

[10] B. M. Smirnov, Atomnye stolknoveniya i elementarnye protsessy v plazme, Atomizdat, 1968

[11] Yu. F. Bydin, V. M. Dukelskii, ZhETF, 31 (1956), 569; E. A. Mason, G. E. Vanderslice, J. Chem. Phys., 28 (1958), 253 | DOI

[12] Yu. F. Bydin, A. Z. Devdariani, V. V. Kuchinskii, VIII ICPEAC, Abst. of pap., Beograd, 1973, 842

[13] Yu. F. Bydin, Pisma v ZhETF, 6 (1967), 857