Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom

Chin. Phys. Lett.

2000, Vol. 17

Issue (4): 241-242 DOI:

Original Articles

Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom

LIU Ke-Jia^1,3;LU Huai-Xin^2,3;ZHANG Yong-De³

¹Department of Metallurgy, Guizhou University of Technology, Guiyang 550003 ²Department of Physics, Changwei Teachers College, Weifang 261043 ³Department of Modern Physics, University of Science and Technology of China, Hefei 230026

Cite this article:

LIU Ke-Jia, LU Huai-Xin, ZHANG Yong-De 2000 Chin. Phys. Lett. 17 241-242

Download: PDF(124KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract A quantum transformation that can diagonalize the Hamiltonian of a ring of N coupled diatomic oscillators is found. By means of the transformation, the dispersion relation of the atomic system is obtained. For large N it turns out that the dispersion relation resembles to the phonon spectrum of the lattice vibration derived by Newton's equation of motion.

Keywords: 03.65.-w 63.10.+a

Published: 01 April 2000

PACS:	03.65.-w	(Quantum mechanics)
	63.10.+a	(General theory)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2000/V17/I4/0241

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	LIU Ke-Jia
	LU Huai-Xin
	ZHANG Yong-De

Related articles from Frontiers Journals

[1]	Akpan N. Ikot. Solutions to the Klein–Gordon Equation with Equal Scalar and Vector Modified Hylleraas Plus Exponential Rosen Morse Potentials[J]. Chin. Phys. Lett., 2012, 29(6): 241-242
[2]	ZHOU Jun,SONG Jun,YUAN Hao,ZHANG Bo. The Statistical Properties of a New Type of Photon-Subtracted Squeezed Coherent State[J]. Chin. Phys. Lett., 2012, 29(5): 241-242
[3]	A. I. Arbab. Transport Properties of the Universal Quantum Equation[J]. Chin. Phys. Lett., 2012, 29(3): 241-242
[4]	Ahmad Nawaz. Quantum State Tomography and Quantum Games[J]. Chin. Phys. Lett., 2012, 29(3): 241-242
[5]	Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 241-242
[6]	ZHAI Zhi-Yuan, YANG Tao, PAN Xiao-Yin. Exact Propagator for the Anisotropic Two-Dimensional Charged Harmonic Oscillator in a Constant Magnetic Field and an Arbitrary Electric Field**[J]. Chin. Phys. Lett., 2012, 29(1): 241-242
[7]	Ciprian Dariescu, Marina-Aura Dariescu. Chiral Fermion Conductivity in Graphene-Like Samples Subjected to Orthogonal Fields**[J]. Chin. Phys. Lett., 2012, 29(1): 241-242
[8]	S. Ali Shan, , A. Mushtaq . Role of Jeans Instability in Multi-Component Quantum Plasmas in the Presence of Fermi Pressure**[J]. Chin. Phys. Lett., 2011, 28(7): 241-242
[9]	ZHANG Xue, ZHENG Tai-Yu, TIAN Tian, PAN Shu-Mei . The Dynamical Casimir Effect versus Collective Excitations in Atom Ensemble[J]. Chin. Phys. Lett., 2011, 28(6): 241-242
[10]	HOU Shen-Yong, YANG Kuo . Properties of the Measurement Phase Operator in Dual-Mode Entangle Coherent States**[J]. Chin. Phys. Lett., 2011, 28(6): 241-242
[11]	FAN Hong-Yi, ZHOU Jun, , XU Xue-Xiang, HU Li-Yun . Photon Distribution of a Squeezed Chaotic State**[J]. Chin. Phys. Lett., 2011, 28(4): 241-242
[12]	WANG Zhen, WANG He-Ping, WANG Zhi-Xi, FEI Shao-Ming . Local Unitary Equivalent Consistence for n−Party States and Their (n-1)-Party Reduced Density Matrices**[J]. Chin. Phys. Lett., 2011, 28(2): 241-242
[13]	RONG Shu-Jun, LIU Qiu-Yu . Flavor State of the Neutrino: Conditions for a Consistent Definition**[J]. Chin. Phys. Lett., 2011, 28(12): 241-242
[14]	WANG Ji-Suo, , MENG Xiang-Guo, FAN Hong-Yi . A Family of Generalized Wigner Operators and Their Physical Meaning as Bivariate Normal Distribution**[J]. Chin. Phys. Lett., 2011, 28(10): 241-242
[15]	XU Xue-Fen, ZHU Shi-Qun. From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics[J]. Chin. Phys. Lett., 2010, 27(9): 241-242

Viewed

Full text

Abstract