Geodesic
Quadratic Hamiltonians and relativistic quantum mechanics: A charged scalar particle in a Coulomb field
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 48-62 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For the case of a charged scalar field described by a quadratic Hamiltonian, an equivalent relativistic quantum mechanics in the single-particle sector is constructed. The motion of a charged relativistic particle in a Coulomb field is completely investigated. 
@article{TMF_1981_49_1_a3,
     author = {A. V. Razumov and V. O. Soloviev and A. Yu. Taranov},
     title = {Quadratic {Hamiltonians} and relativistic quantum mechanics: {A~charged} scalar particle in {a~Coulomb} field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {48--62},
     year = {1981},
     volume = {49},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a3/}
}
TY  - JOUR
AU  - A. V. Razumov
AU  - V. O. Soloviev
AU  - A. Yu. Taranov
TI  - Quadratic Hamiltonians and relativistic quantum mechanics: A charged scalar particle in a Coulomb field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 48
EP  - 62
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a3/
LA  - ru
ID  - TMF_1981_49_1_a3
ER  - 
%0 Journal Article
%A A. V. Razumov
%A V. O. Soloviev
%A A. Yu. Taranov
%T Quadratic Hamiltonians and relativistic quantum mechanics: A charged scalar particle in a Coulomb field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 48-62
%V 49
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a3/
%G ru
%F TMF_1981_49_1_a3
A. V. Razumov; V. O. Soloviev; A. Yu. Taranov. Quadratic Hamiltonians and relativistic quantum mechanics: A charged scalar particle in a Coulomb field. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 1, pp. 48-62. http://geodesic.mathdoc.fr/item/TMF_1981_49_1_a3/

[1] Razumov A. V., Solovev V. O., Taranov A. Yu., Kvadratichnye gamiltoniany i relyativistskaya kvantovaya mekhanika. I: Skalyarnaya neitralnaya chastitsa, Preprint IFVE 79-173, IFVE, Serpukhov, 1979

[2] Feshbach H., Willars F., Rev. Mod. Phys., 30:1 (1958), 24 | DOI | MR | Zbl

[3] Case K. M., Phys. Rev., 80:5 (1950), 797 ; Bawin M., Lavine J. P., Nuovo Cim., 15A:1 (1973), 38 ; Переломов А. М., Попов В. С., ТМФ, 4:1 (1970), 48 ; Давыдов А. С., Квантовая механика, Наука, М., 1973 | DOI | MR | Zbl | DOI | MR | MR

[4] Venttsel G., Vvedenie v kvantovuyu teoriyu volnovykh polei, Gostekhizdat, M., 1947

[5] Messia A., Kvantovaya mekhanika, t. I, Nauka, M., 1978 | MR

[6] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 1, Nauka, M., 1973 | MR

[7] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 2, Nauka, M., 1974 | MR

[8] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, t. 1, Mir, M., 1977 | MR

[9] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, t. 2, Mir, M., 1978 | MR