Geodesic
Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 9-14 
V. M. Babich. Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 9-14. http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/
@article{ZNSL_2021_506_a1,
     author = {V. M. Babich},
     title = {Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray {methods~(STRM)}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {9--14},
     year = {2021},
     volume = {506},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/}
}
TY  - JOUR
AU  - V. M. Babich
TI  - Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM)
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2021
SP  - 9
EP  - 14
VL  - 506
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/
LA  - ru
ID  - ZNSL_2021_506_a1
ER  - 
%0 Journal Article
%A V. M. Babich
%T Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM)
%J Zapiski Nauchnykh Seminarov POMI
%D 2021
%P 9-14
%V 506
%U http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a1/
%G ru
%F ZNSL_2021_506_a1

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Quasiphotons-asymptotic solutions of wave equation with gaussian concentration around moving along rays points – are considered. It is stated in this note, that well-known procedures of obtaining the formulas for quasiphotons lead to complete class of quasiphotons, described by complex space-time ray method (STRM), in spite of very restrictive normalizing condition. It is possible, in the case of the constant velocity, to deduce formulas in explicit form for $3\times3$-matrices, describing quasiphotons. (This matrices in particular can have all nonzero components).

[1] V. M. Babich, V. V. Ulin, “Kompleksnyi prostranstvenno-vremennoi luchevoi metod i kvazifotony”, Zap. nauchn. semin. LOMI, 117, 1981, 5–13

[2] V. M. Babich, V. S. Buldyrev, I. A. Molotkov, Prostranstvenno-vremennoi luchevoi metod, Izd-vo LGU, L., 1986

[3] V. I. Smirnov, Kurs vysshei matematiki, chast 1, v. 3, Gos. Izd.-vo Tekh-Teor. Lit., M., 1958