By I. Prigogine, Stuart A. Rice
Every one quantity during this sequence is dedicated to assisting the reader to procure normal information regarding various issues in chemical physics. This quantity includes dialogue of high-temperature superconductors, time-resolved optical checks of digital geometric section improvement and masses extra.
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ALBRECHT seen that Bj(r) = 0 and thus B,(r) = 0 for all i . Then, Eq. 19) This equation, when integrated on both sides from the incident boundary (r = 0) to r in the medium along the direction of kj, results in the following invariance: ~ -- 'Zj(r)8f1(r)8F(r) = * %:(r) cos A4j(r) %j(0)%f1(0)'iY~2(O) - . 21) for all r where gj(r) # 0 and gj(r) # 0. That is, the signal field generated in the medium through such a nonresonant passive process must contain only a component that is out-of-phase with respect to the induced polarization.
R. D. Coalson and M. Karplus, J . Chem. Phys. 93, 3919 (1990). R. G. Littlejohn, Phys. Rep. 138, 193 (1986). There is a parallel between the wave packet-based semi-classical treatment of nuclear motion developed here and the Thomas-Fermi theory of an electronic system in a slowly varying vector potential. I n t h e semi-classical electronic theory as well as here, one naturally arrives at a locally linear approximation to the scalar-potential-derived forces and a locally uniform approximation to the magnetic force derived from the vector potential.
Thus, in such spectroscopies, the signal field must always remain in-phase with the induced polarization and 8,(r) is determined from Eq. 15a) with A,(r) = 0. Nonresonant passive processes in which the light-matter interactions are not directly in quadrature (not fully conjugately paired) have been discussed by Amstrong et al.  and other [ 3 ] . In this case, all wave vectors and electrical susceptibilities are real. 16b), it can be 54 DUCKHWAN LEE A N D A . C. ALBRECHT seen that Bj(r) = 0 and thus B,(r) = 0 for all i .