𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dynamic Structure Factor for a Harmonic Oscillator and the Harmonic Oscillator Chain

✍ Scribed by A. Wierling; I. Sawada


Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
169 KB
Volume
52
Category
Article
ISSN
0005-8025

No coin nor oath required. For personal study only.

✦ Synopsis


The recurrance relation method is employed to determine the dynamic structure factor for the single harmonic oscillator and a linear chain of harmonic oscillators. Approximative schemes based on this approach are proposed. Comparison is made with exactly known results.


πŸ“œ SIMILAR VOLUMES


Newton-Equivalent Hamiltonians for the H
✍ A. Degasperis; S.N.M. Ruijsenaars πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 93 KB

We consider a one-parameter family of Hamilton functions yielding the Newton equation of the harmonic oscillator, ẍ + Ο‰ 2 x = 0. The parameter may be viewed as the speed of light c, the nonrelativistic limit c β†’ ∞ yielding the usual Hamiltonian. For c < ∞, the classical Hamiltonians are the product

The exact solution for the generalized t
✍ Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 73 KB

A scalar Higgs field theory in de Sitter space-time has been investigated using the real time formulation of Semenoff and Weiss. We calculate the two-point function at late times and use it to obtain a general expression for the amplitude of fluctuation in energy density on scales which come out of

The exact solution for the generalized t
✍ Xiao-Chun Gao; Jing-Bo Xu; Tie-Zheng Qian πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 343 KB

In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then. the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase for the oscillator obtained. We proceed to use the exact soluti

On the dynamics of a linear and a nonlin
✍ Pranab Sarkar; S. P. Bhattacharyya πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 238 KB πŸ‘ 2 views

Ε½ 4 . Numerical experiments with a nonlinear x oscillator which has its harmonic frequency changing randomly with time reveal certain interesting features of its dynamics of quantum evolution. When s 0, the level populations are seen to oscillate. But, as the Ε½ . nonlinear coupling is switched on )