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Quantization of strongly interacting phonons

1997/04/08 by Vladimir Dzhunushaliev, V. D. Dzhunushaliev, Dzhunushaliev, V. D.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High-pressure geophysics and materials #Nonlinear Photonic Systems #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9704062

New section is added, concerning to appearance of nonlocal object (flux tube) in quantum SU(2) Yang-Mills theory

openalex publication_date 1997/04/08 · arxiv created 1998/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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-Tc superconductivity if there is the strong nonlinear potential.

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