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Chapter 1: The harmonic crystal
https://doi.org/10.1142/9789814449113_0001Cited by:0 (Source: Crossref)
Abstract:
The classical equations of motion for a finite chain of atoms are solved within the harmonic approximation. In the thermodynamic limit, an approximate hydrodynamical description, i.e., a one-dimensional classical field theory, is obtained. Quantization of the finite harmonic chain is undertaken. In the thermodynamic limit, phonons in a one-dimensional lattice are approximated by a quantum hydrodynamical theory, i.e., a one-dimensional quantum field theory.
