Посилання:On the theory of scalar pair production by a potential barrier / A.I. Nikishov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 103-109. — Бібліогр.: 20 назв. — англ.
Підтримка:I am greatly indebted to Prof. V.L. Ginzburg, who showed me article [11], discussed it and urged me to expound my understanding of the problem and points of disagreement with other authors. This work was supported in part by the Russian Foundation for Basic Research (projects №00-15-96566 and №01-02-30024).
The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show that the norm of a solution of the wave equation is determined by one of the amplitude of its asymptotic form for x₃→±∞. For the constant electric field we obtain the scalar particle propagator in terms of the stationary states and show that with our choice of in- and out-states it has the form dictated by the general theory.