SYMMETRIES AND CAUSES OF THE COINCIDENCE OF THE EMISSION-SPECTRA OF MIRRORS AND CHARGES IN 1+1 AND 3+1 SPACES

This paper discusses the symmetry of the wave field that lies to the r ight and left of a two-sided accelerated mirror in 1 + 1 space and sat isfies a single condition on it. The symmetry is embodied in the Bogol yubov matrix coefficients alpha and beta that connect the two complete sets of solutions of the wave equations. The amplitudes of the quantu m processes in the right and left half-spaces are expressed in terms o f alpha and beta and are related to each other by the transformation ( 12). The coefficient beta(omega'omega) plays the role of the source a mplitude of a pair of oppositely directed particles with frequencies o mega and omega' of which one is in the left halfspace and the other is in the right half-space because one of them has undergone reflection. Such an interpretation makes beta(omega'omega) observable and explai ns why, as shown by Eq. (1) and found earlier by Nikishov and Ritus [Z h. Eksp. Teor. Fit. 108, 1121 (1995); transl. JETP 81, 615 (1995)] and by Ritus [Zh. Eksp. Teor. Fit. 110, 526 (1996); transl. JETP 83, 282 (1996)], the emission spectra of a mirror in 1 + 1 space coincide with those of charges in 3 + 1 space. The reason is that the angular momen tum of the pair emitted by the mirror coincides with the angular momen tum of the single particle emitted by the charge. (C) 1998 American In stitute of Physics.