Classical Analogs of a Diatomic Chain

Journal Article · Tue Dec 21 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3536615· OSTI ID:21510071

Gutierrez, L; Diaz-de-Anda, A; Mendez-Sanchez, R A; Morales, A ^[1]; Flores, J; Monsivais, G ^[2]

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1. Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, A.P. 48-3, 62251, Cuernavaca, Morelos (Mexico)
2. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, A. P. 20-364, 01000, Mexico, D. F. (Mexico)

Using one dimensional rods with different configurations classical analogs of quantum mechanical systems frequently used in solid state physics can be obtained. Among this analogs we have recently discussed locally periodic rods which lead to band spectra; the effect of a topological defect, and the Wannier Stark ladders. In this paper, we present an elastic analog of the diatomic chain and show how the acoustical and optical bands emerge, as well of the nature of the wave amplitudes.

• OSTI ID: 21510071
• Journal Information: AIP Conference Proceedings, Vol. 1319, Issue 1; Conference: 4. Mexican meeting on experimental and theoretical physics, Mexico City (Mexico), 19-23 Jul 2010; Other Information: DOI: 10.1063/1.3536615; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CONFIGURATION
DEFECTS
ELASTICITY
HARMONIC OSCILLATORS
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
QUANTUM MECHANICS
SIMULATION
SOLID STATE PHYSICS
SPECTRA
TOPOLOGY
MATHEMATICS
MECHANICAL PROPERTIES
MECHANICS
PHYSICS
VARIATIONS