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