Exact solution for a chain of coupled oscillators with two types of atom

Authors
Liu, KJ Lu, HX Zhang, YD
Citation
Kj. Liu et al., Exact solution for a chain of coupled oscillators with two types of atom, CHIN PHYS L, 17(4), 2000, pp. 241-242
Citations number
10
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS LETTERS
ISSN journal
0256307X → ACNP
Volume
17
Issue
4
Year of publication
2000
Pages
241 - 242
Database
ISI
SICI code
0256-307X(2000)17:4<241:ESFACO>2.0.ZU;2-B
Abstract
A quantum transformation that can diagonalize the Hamiltonian of a ring of N coupled diatomic oscillators is found. By means of the transformation, th e dispersion relation of the atomic system is obtained. For large N it turn s out that the dispersion relation resembles to the phonon spectrum of the lattice vibration derived by Newton's equation of motion.