@article{ZVMMF_2005_45_6_a13,
author = {V. Kontorin},
title = {On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1125--1133},
year = {2005},
volume = {45},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a13/}
}
TY - JOUR AU - V. Kontorin TI - On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 1125 EP - 1133 VL - 45 IS - 6 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a13/ LA - ru ID - ZVMMF_2005_45_6_a13 ER -
%0 Journal Article %A V. Kontorin %T On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2005 %P 1125-1133 %V 45 %N 6 %U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a13/ %G ru %F ZVMMF_2005_45_6_a13
V. Kontorin. On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 6, pp. 1125-1133. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_6_a13/
[1] Kheding Dzh., Vvedenie v metod fazovykh integralov, Mir, M., 1965
[2] Fedoryuk M. V., Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, M., 1983 | MR | Zbl
[3] Dubrovskii G. V., Kontorin V. Yu., “Formuly svyazi VKB-reshenii, $S$-matritsa rasseyaniya i rezonansy”, Zh. vychisl. matem. i matem. fiz., 34:4 (1994), 584–596 | MR
[4] Dubrovskii G. V., Kontorin V. Yu., “Detalnye formuly svyazi VKB-reshenii dlya potentsialnogo barera i yamy”, Differents. ur-niya s chastnymi proizvodnymi, Obrazovanie, SPb., 1992
[5] Feinman R., Khibs A., Kvantovaya mekhanika i integraly po traektoriyam, Mir, M., 1968
[6] Laughlin Mc., “Complex time, contour independent path integrals and barrier penetration”, J. Math. Phys., 13:8 (1972), 1099–1108 | DOI | MR
[7] Freed K. F., “Path integrals and semi-classical tunneling, wave functions and energies”, J. Chem. Phys., 56:2 (1972), 692–697 | DOI
[8] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR
[9] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. 3, Kvantovaya mekhanika (nerelyativistskaya teoriya), Fizmatlit, M., 2001
[10] Sidorov Yu. V., Fedoryuk M. V., Shabunin M. I., Lektsii po teorii funktsii kompleksnogo peremennogo, Nauka, M., 1976 | MR | Zbl
[11] Sokolovskii D. G., Sumetskii M. Yu., “O rezonansnom tunnelirovanii cherez nestatsionarnyi potentsial”, Teor. i matem. fiz., 64:2 (1985), 233–244
[12] Ivlev B. I., Melnikov V. N., “Gigantskoe stimulirovanie tunnelnykh protsessov vysokochastotnym polem”, Pisma v ZhETF, 41:3 (1985), 116–118