VIBRATIONAL SPECTRUM FOR THE LINEAR LATTICE CHAIN GAINED BY VIRTUE OF THE "INVARIANT EIGEN-OPERATOR" METHOD-Reference-Cited by-同舟云学术

VIBRATIONAL SPECTRUM FOR THE LINEAR LATTICE CHAIN GAINED BY VIRTUE OF THE "INVARIANT EIGEN-OPERATOR" METHOD

Published:2005-10-30 Issue:27 Volume:19 Page:4073-4080
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

FAN HONG-YI¹²,WU HAO¹,XU XUE-FEN³

Affiliation:

1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China

2. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

3. Department of Basic Courses, Jiang Su Teachers University of Technology, Chang Zhou, 213001, China

Abstract

We propose an operator Hamiltonian (a ring of identically coupled harmonic oscillators) to describe the linear lattice chain with Born–von Karmann boundary condition. We apply the method of "invariant eigen-operator" to study this Hamiltonian and derive its invariant eigen-operator. The vibrational spectrum is thus obtained. This approach seems concise and direct and can be extended to tackle other Hamiltonian models.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979205032590

Reference8 articles.

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2. An Introduction to Solid State Physics and its Applications

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