Geodesic
Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 213-222 
N. B. Skachkov. Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 213-222. http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a5/
@article{TMF_1975_22_2_a5,
     author = {N. B. Skachkov},
     title = {Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in {Lobachevskii} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--222},
     year = {1975},
     volume = {22},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a5/}
}
TY  - JOUR
AU  - N. B. Skachkov
TI  - Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 213
EP  - 222
VL  - 22
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a5/
LA  - ru
ID  - TMF_1975_22_2_a5
ER  - 
%0 Journal Article
%A N. B. Skachkov
%T Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 213-222
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a5/
%G ru
%F TMF_1975_22_2_a5

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

It is shown that the matrix elements of the relativistic scattering amplitude which correspond to one-boson exchange can be represented in the form of the direct geometrical generalization of quantum-mechanical potentials, obtained by means of replacement of euclidean quantities by their analogues in Lobachevskii space.

[1] V. V. Babikov, Preprint OIYaI R4-7698, Dubna, 1974; ЯФ, 2 (1965), 326; Nucl. Phys., 76 (1966), 665 | DOI

[2] V. A. Fok, Teoriya prostranstva, vremeni, tyagoteniya, Gostekhizdat, 1955

[3] V. G. Kadyshevskii, ZhETF, 46 (1964), 654 ; 872 ; ДАН СССР, 160 (1965), 573 | MR | MR | MR

[4] N. A. Chernikov, Nauchnye doklady vysshei shkoly, 2 (1958), 158; 3 (1959), 151 ; ЖЭТФ, 33 (1957), 541; Лекции в Межд. школе теоретической физики при ОИЯИ, т. 3, Дубна, 1964, 151 ; ЭЧАЯ, 4, No 3, Атомиздат, 1973, 773 | MR | Zbl | MR

[5] N. B. Skachkov, Soobschenie OIYaI E2-7159, E2-7333, Dubna, 1973

[6] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skackhov, Nuovo Cim., 55A (1968), 2335; ЭЧАЯ, 2, No 3, Атомиздат, 1972, 635

[7] S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, IL, 1963

[8] Yu. M. Shirokov, ZhETF, 21 (1951), 748; ДАН СССР, 99 (1954), 737 | Zbl

[9] A. A. Cheshkov, Yu. M. Shirokov, ZhETF, 44 (1982), 1963 | MR

[10] A. A. Cheshkov, ZhETF, 50 (1966), 144 | Zbl

[11] G. C. Wick, Ann. Phys., 18 (1962), 65 | DOI | MR | Zbl

[12] Ya. A. Smorodinskii, ZhETF, 43 (1962), 2218

[13] G. Bete, E. Solpiter, Kvantovaya mekhanika atomov s odnim i dvumya elektronami, Fizmatgiz, 1960

[14] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR

[15] V. G. Kadyshevskii, A. N. Tavkhelidze, Problemy teoreticheskoi fiziki, Sb., «Nauka», 1969