Geodesic
Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 148-168 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A parapositronium atom in an optical laser field is described beyond the perturbation theory framework by a closed system of Heisenberg equations on operators of atoms and photons. We consider the annihilation of the parapositronium atom, which starts from one or two quantum states; optical quantum transitions between these states are caused by one or two optical photons. Mean occupation numbers of these states are governed by a system of two nonlinear equations. We investigate particular stationary and nonstationary solutions of this system and find that annihilation photons substantially affect the annihilation process. We show that definite optical laser radiation may stabilize the parapositronium atom and make its lifetime hundreds of times longer than the lifetime of the free parapositronium atom in the $1s$ state. 
@article{TMF_2000_124_1_a9,
     author = {O. N. Gadomsky and T. T. Idiatullov},
     title = {Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {148--168},
     year = {2000},
     volume = {124},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a9/}
}
TY  - JOUR
AU  - O. N. Gadomsky
AU  - T. T. Idiatullov
TI  - Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 148
EP  - 168
VL  - 124
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a9/
LA  - ru
ID  - TMF_2000_124_1_a9
ER  - 
%0 Journal Article
%A O. N. Gadomsky
%A T. T. Idiatullov
%T Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 148-168
%V 124
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a9/
%G ru
%F TMF_2000_124_1_a9
O. N. Gadomsky; T. T. Idiatullov. Parapositronium atom in the field of annihilation and optical photons as a nonlinear quantum system. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 148-168. http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a9/

[1] V. I. Goldanskii, Fizicheskaya khimiya pozitrona i pozitroniya, Nauka, M., 1968

[2] A. Rich, Rev. Mod. Phys., 53 (1981), 127 | DOI

[3] L. A. Rivlin, Kvantovaya elektronika, 1 (1974), 2066

[4] E. P. Liang, C. D. Dermer, Opt. Commun., 65 (1988), 419 | DOI

[5] O. N. Gadomskii, R. A. Vlasov, DAN SSSR, 311 (1990), 1115

[6] O. N. Gadomsky, K. V. Krutitsky, Laser Phys., 5 (1995), 379

[7] R. A. Vlasov, O. N. Gadomskii, V. V. Samartsev, TMF, 79 (1989), 423

[8] J. Pirenne, Arch. Sci. Phys. Natur., 28 (1946), 233 | MR | Zbl

[9] K. P. Ziock, C. D. Dermer, R. H. Howell, J. Phys. B, 23 (1990), 329 | DOI

[10] O. N. Gadomskii, ZhETF, 106 (1994), 57

[11] O. N. Gadomskii, ZhETF, 110 (1996), 1228

[12] O. N. Gadomskii, S. G. Moiseev, ZhETF, 113 (1998), 471

[13] A. Karlson, M. H. Mittleman, J. Phys. B, 29 (1996), 4609 | DOI

[14] L. Allen, Dzh. Eberli, Opticheskii rezonans i dvukhurovnevye atomy, Mir, M., 1978

[15] S. G. Karshenboim, ZhETF, 103 (1993), 1105

[16] A. S. Elkhovskii, A. I. Milshtein, I. B. Khriplovich, ZhETF, 105 (1994), 299

[17] V. B. Berestetskii, E. M. Lifshits, L. P. Pitaevskii, Kvantovaya elektrodinamika, Nauka, M., 1989 | MR

[18] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, Fizmatgiz, M., 1959 | MR

[19] V. Gaitler, Kvantovaya teoriya izlucheniya, IL, M., 1956

[20] A. S. Davydov, Kvantovaya mekhanika, Fizmatgiz, M., 1963 | MR

[21] A. H. Al-Ramadhan, D. W. Gidley, Phys. Rev. Lett., 72 (1994), 1632 | DOI

[22] T. Khensh, “Nelineinaya spektroskopiya vysokogo razresheniya atomov i molekul”, Nelineinaya spektroskopiya, ed. N. Blombergen, Mir, M., 1979, 41–118