By using the Lewis-Riesenfeld quantum invariant theory and properly choosing Hermitian invariant operator, a closed solution of the Schrödinger equation is derived for two forced quantum oscillators with mixing of two modes, and the quantum fluctuations in the output fields are evaluated. For the initial two-mode squeezed number or squeezed coherent state, in some particular conditions, the time evolution of the oscillators can not only preserve the initial two-mode squeezing, but also produce squeezing in the individual modes; and exhibit a periodical squeezing behaviour. For the initial two-mode number state or coherent state, there is no squeezing in the individual and mutual quadrature phases of the two-mode fields. Furthermore, regardless of which state above being initially considered, the quantum fluctuations of all the quadrature phases in the output fields are all independent of the driving parameters. In particular, for the initial two-mode coherent state, the variances of the output fields are also independent of other parameters in the Hamiltonian, and always preserve their initial values 1/4.
A method for mechanical coupling of the shifts of the band of a selective element to a mode of an injection laser with an external cavity is considered. The method reduces to finding the optimal variant of plane-parallel motion of one of the cavity elements. Solutions are found for important modifications of external cavity systems (in the case of rotation about a fixed axis). Estimates are obtained of the possible width of the continuous tuning range and of the sensitivity of the tuning system to alignment errors.
t/ 3 Dc~cwihci. 1985: cm/ i/i i.c>i.iwr/ lorui I? ,Jfttj. 19861 .Abstract--;\ 2 Lev. 10 mA e l e~t r o n bcam crtatcs its oun Helium plasma ( / I < , z IO' cm ' . T, 4 4 c l ' ) in a cylindrical interaction chamber ( L = 75 cm. 4 = 8 em. pII, 2 1.3 x 10 ' torr) in a multiple magnetic mirror ( B d + 1 B,, = 112 G. periodicit! of 22 em). The rrcqucnc) bpcctrum rctcalb the cwitation of the clectron q c l o t r o n instability uith a centriil frequency uhich depends almoht e \ c l u s i \ e l~ o n the aicragc magnetic field and nith an ampiiiudc \ar!ing with the mirror ratio a h wcli as itith the a\eragc plasma densit!. These c\perinienti!l restilts are intrcpreied in term5 of the anal!sis ol the instabilit) theoretical speciruni. constructed from the space-time ciolution. in the LVKB appro\imaiion. of \ t a~t h U ith frequencies belonging to thc unhtabls band.
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