Geodesic
Semiclassically concentrated quantum states
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 84-94 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A semiclassically concentrated state in quantum mechanics is defined. For the example of a one-dimensional Schrödinger equation, a theorem is proved which shows that the condition of semiclassical concentration can be realized only on the solutions of the corresponding classical system of Hamilton equations. 
@article{TMF_1992_90_1_a7,
     author = {V. G. Bagrov and V. V. Belov and A. M. Rogova},
     title = {Semiclassically concentrated quantum states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {84--94},
     year = {1992},
     volume = {90},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a7/}
}
TY  - JOUR
AU  - V. G. Bagrov
AU  - V. V. Belov
AU  - A. M. Rogova
TI  - Semiclassically concentrated quantum states
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 84
EP  - 94
VL  - 90
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a7/
LA  - ru
ID  - TMF_1992_90_1_a7
ER  - 
%0 Journal Article
%A V. G. Bagrov
%A V. V. Belov
%A A. M. Rogova
%T Semiclassically concentrated quantum states
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 84-94
%V 90
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a7/
%G ru
%F TMF_1992_90_1_a7
V. G. Bagrov; V. V. Belov; A. M. Rogova. Semiclassically concentrated quantum states. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 84-94. http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a7/

[1] Schrödinger E., Naturvissenschaften, 14:28 (1926), 664–666 | DOI | Zbl

[2] Eherenfest P., Zs. Phys., 45 (1927), 455 | DOI | MR

[3] Malkin I. A., Manko V. I., Dinamicheskie simmetrii i kogerentnye sostoyaniya kvantovykh sistem, Nauka, M., 1979 | MR

[4] Szhatye i korrelirovannye sostoyaniya kvantovykh sistem, Tr. FIAN, 200, Nauka, M., 1991

[5] Babich V. M., Danilov Yu. P., Zapiski nauchn. sem. LOMI, 15, 1969, 47–65 | MR | Zbl

[6] Heller E. J., J. Chem. Phys., 32:4 (1975), 1544–1555 | DOI

[7] Hagedorn G. A., Commun. Math. Phys., 71:1 (1980), 77–93 | DOI | MR

[8] Belov V. V., Gorchinskaya O. Yu., Tochnaya funktsiya Grina relyativistskikh uravnenii kvantovoi mekhaniki v pole ploskoi volny, dep. v VINITI, No 3026-76, VINITI, M., 1976

[9] Maslov V. P., Teoriya vozmuschenii i asimptoticheskie metody, MGU, M., 1965 | MR

[10] Maslov V. P., Asimptoticheskie metody resheniya psevdodifferentsialnykh uravnenii, Nauka, M., 1987 | MR

[11] Bagrov V. G., Belov V. V., Ternov I. M., TMF, 50:3 (1982), 390–396 | MR

[12] Bagrov V. G., Belov V. V., Izv. vuzov. Fizika, 25:4 (1982), 48–50 | MR

[13] Bagrov V. G., Belov V. V., Ternov I. M., J. Math. Phys., 24:12 (1983), 2855–2859 | DOI | MR

[14] Belov V. V., Maslov V. P., DAN SSSR, 305:3 (1989), 574–580 | MR

[15] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR

[16] Bagrov V. G., Belov V. V., Trifonov A. Yu., Vysshie priblizheniya dlya kvaziklassicheskikh TKS operatorov Shredingera i Diraka v proizvolnom elektromagnitnom pole, preprint No 5 TNTs SO AN SSSR, Tomsk, 1989 | Zbl

[17] Rogova A. M., Izv. vuzov. Fizika, 34:7 (1991), 77–80 | MR