Geodesic
Space-time ray method and quasiphotons
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 5-13 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

A new approach to the construction of qusiphotons is illustrated by example of quasiphotons of the wave equation with variable velocity. 
@article{ZNSL_2007_342_a0,
     author = {V. M. Babich},
     title = {Space-time ray method and quasiphotons},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--13},
     year = {2007},
     volume = {342},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a0/}
}
TY  - JOUR
AU  - V. M. Babich
TI  - Space-time ray method and quasiphotons
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2007
SP  - 5
EP  - 13
VL  - 342
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a0/
LA  - ru
ID  - ZNSL_2007_342_a0
ER  - 
%0 Journal Article
%A V. M. Babich
%T Space-time ray method and quasiphotons
%J Zapiski Nauchnykh Seminarov POMI
%D 2007
%P 5-13
%V 342
%U http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a0/
%G ru
%F ZNSL_2007_342_a0
V. M. Babich. Space-time ray method and quasiphotons. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 36, Tome 342 (2007), pp. 5-13. http://geodesic.mathdoc.fr/item/ZNSL_2007_342_a0/

[1] V. M. Babich, Yu. P. Danilov, “Postroenie asimptotiki resheniya uravneniya Shredingera, sosredotochennogo v okrestnosti klassicheskoi traektorii”, Zap. nauchn. semin. LOMI, 15, 1969, 47–65 | MR | Zbl

[2] V. M. Maslov, Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, Fizmatgiz, M., 1977 | MR

[3] V. M. Babich, V. V. Ulin, “Kompleksnyi prostranstvenno-vremennoi luchevoi metod i kvazifotony”, Zap. nauchn. semin. LOMI, 117, 1981, 5–11 | MR

[4] J. Ralston, “Gaussian beams and the propagation of singularities”, Studies in Partial Differential Equations, MAA Studies Math., 21, Englewood Cliffs, NY, 1982, 206–248 | MR

[5] A. P. Kachalov, “Sistema koordinat pri opisanii kvazifotonov”, Zap. nauchn. semin. LOMI, 140, 1984, 73–76 | MR | Zbl

[6] V. M. Babich, V. S. Buldyrev, I. A. Molotkov, Prostranstvenno vremennoi luchevoi metod. Lineinye i nelineinye volny, Izd-vo LGU, L., 1985 | MR | Zbl

[7] V. G. Bagrov, V. V. Belov, A. Yu. Trifonov, “Semiclassical trajectory-coherent approximation in quantum mechanics”, Ann. Phys., 246:2 (1996), 231–290 | DOI | MR | Zbl

[8] A. P. Kachalov, “Nestatsionarnye elektromagnitnye gaussovy puchki v neodnorodnoi anizotropnoi srede”, Zap. nauchn. semin. LOMI, 264, 2000, 83–100 | MR | Zbl

[9] V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskoe traektorno-kogerentnoe priblizhenie dlya uravneniya tipa Khartri”, Teor. i mat. fizika, 130:3 (2002), 460–492 | MR | Zbl

[10] S. Bokhner, U. T. Martin, Funktsii mnogikh kompleksnykh peremennykh, IL, M., 1951

[11] V. I. Smirnov, Kurs vysshei matematiki, T. 4, Ch. 2, Nauka, M., 1981

[12] R. Kurant, Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR

[13] V. M. Babich, V. S. Buldyrev, Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972 | MR

[14] Dzh. Uizem, Lineinye i nelineinye volny, Nauka, M., 1977