Quantization of strongly interacting phonons
摘要
The assumption is considered that the strong interaction between phonons makes a certain contribution to the formation of Cooper pairs. Heisenberg's old idea about the quantization of strong nonlinear fields using the Tamm-Dankoff method is discussed. The approximate solution method of infinite Tamm-Dankoff equations system is suggested. This allows us to obtain an equation for the fixed deformation of the lattice between two Cooper electrons. Such deformations can introduce a significant contribution to the energy of Cooper pairs. The possible approximate model of the appearance of the flux tube (nonlocal object) in the SU(2) Yang-Mills theory is considered. The similar mechanism can play important role in High- superconductivity if there is the strong nonlinear potential.
引用
@article{arxiv.cond-mat/9704062,
title = {Quantization of strongly interacting phonons},
author = {V. D. Dzhunushaliev},
journal= {arXiv preprint arXiv:cond-mat/9704062},
year = {2008}
}
备注
New section is added, concerning to appearance of nonlocal object (flux tube) in quantum SU(2) Yang-Mills theory