By W. Brenig, H. Kasai, H. Müller (auth.), Professor Dr. Akio Yoshimori, Professor Dr. Masaru Tsukada (eds.)
Read Online or Download Dynamical Processes and Ordering on Solid Surfaces: Proceedings of the Seventh Taniguchi Symposium, Kashikojima, Japan, September 10–14, 1984 PDF
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Extra resources for Dynamical Processes and Ordering on Solid Surfaces: Proceedings of the Seventh Taniguchi Symposium, Kashikojima, Japan, September 10–14, 1984
Example text
300K 4 it. , Th. , °0~'~~--~~--~-6~0~'----~9~ e (deg) XI! n of data for rare-gas differential cross-sections on Ag (111) [61 (8=angle in scattering plane, ~=azimuth), with trajectory approx -imation calculation of Ref. [ 5 1 using liE = 215, 415 and 794 oK for Av, Kr, and Xe respectively. g. g. lWk k (x) (b+ + b ) k k (Ic) 27 Here ware the phonon frequencies of a semi-infinite chain of atoms of mass ~kmodelling the surface, m is particle mass and vex) the potential seen by the particle when the surface atoms are in their original equilibrium positions, and the V 's are coupling functions.
Newns Institute for Theoretical Physics, Santa Barbara, CA 93106, USA and Department of Mathematics, Imperial College, London SW7 2BZ, England Abstract We consider atom-phonon scattering in a one-dimensional model with coupling linear in phonon displacements and calculate the probability peE) of the atomlosing energy E as a Fourier transform of a time function ilea). Employing a path integral formulation, and taking the limit of zero de Broglie wavelength of the atom, non-perturbational corrections to the Trajectory Appromixation are obtained as a series in one upon atom mass m.
26) Let us look at these terms in the order An obvious test of the effective potential is to calculate the work w done against it; if we do this we get two physical limits a * Also this stationary point is correct to O(l/m) in the final expression (25). 31 = 0 w (27) The first result is exactly equal to the mean energy_loss (5) of the particle in TA. Since the mean energy-loss indeed corresponds to a + 0 (see (5», this means that for a + 0 the energy-loss along X is consistent with that calculated from Il(a) to the same order in 11m.
