Pair production by a periodic electric field

Journal Article · Sat Sep 01 04:00:00 EDT 1973 · Zh. Eksp. Teor. Fiz., v. 65, no. 3, pp. 862-874

OSTI ID:4400849

Narozhnyi, N B; Nikishov, A I

The formation of boson and fermion pairs by a homogeneous periodic field during a finite time T is considered. The Klein-Gordon equation and quadrated Dirac equation in this field reduce to the Hill equation; however, only in the boson case are all of the equation parameters real. This is one of the factors which radlcally affects the solutions for the physical values of the quantuan numbers. In the boson case unstable solutions exist which exponentially depend on time and correspond to exponential growth of the mean number of pairs in a given quantum state. (The expenential dependence of the amplitude on T goes over to the usual linear dependence only for quantum numbers corresponding to the boundary of the instability region.) There are no unstable solutions for the physical values of the quantum numbers in the spinor case and correspondingly the probability for pair production in a given state oscillates in time, remaining, as one would expect, less than unity. (auth)

• Research Organization: Lebedev Inst. of Physics, Moscow
• NSA Number: NSA-29-003471
• OSTI ID: 4400849
• Journal Information: Zh. Eksp. Teor. Fiz., v. 65, no. 3, pp. 862-874, Journal Name: Zh. Eksp. Teor. Fiz., v. 65, no. 3, pp. 862-874; ISSN ZETFA
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

*BOSONS-- PAIR PRODUCTION
*FERMIONS-- PAIR PRODUCTION
*PAIR PRODUCTION-- ELECTRIC FIELDS
BOUNDARY CONDITIONS
DIRAC EQUATION
KLEIN-GORDON EQUATION
N64220* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--Electromagnetic
PROBABILITY
QUANTUM NUMBERS
SCATTERING AMPLITUDES
SPINORS
TIME DEPENDENCE