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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2021 Volume 506, Pages 9–14 (Mi znsl7139)

Comments to deducing the formulas for gaussian quasiphotons by the complex space-times ray methods (STRM)

V. M. Babich

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

Abstract: 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).

Key words and phrases: quasiphoton, space-time ray method.

UDC: 517.9

Received: 16.02.2021



© Steklov Math. Inst. of RAS, 2024