2004/08/04 by Andrew Beckwith, A. W. Beckwith, Beckwith, A. W.
Engineering · Materials Science · Mathematics · Physics and Astronomy · #65Z05 #81S99 #Advanced Fiber Optic Sensors #Analogy #Chain (unit) #Charge (physics) #Charge density wave #Epistemology #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Physics (math-ph) #Nonlinear system #Organic and Molecular Conductors Research #Philosophy #Physics #Quantum mechanics #Soliton #Theoretical physics #math-ph #math.MP #msc:65Z05 #msc:81S99
paper · pdf · doi:10.48550/arxiv.math-ph/0408009
39 pages, 8 figures : IJMPB - Accepted Article
openalex publication_date 2004/08/04 · arxiv created 2005/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
First we show through a simulation that a massive Schwinger model used to formulate solutions to charge density wave transport is in itself insufficient for transport of solitons (anti solitons) through a pinning gap model of charge density wave transport. We show that a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors ) permits formation of solitons (anti solitons) which could be used to transport charge density waves through a potential barrier . We argue that there are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for formation of charge density wave soliton - anti soliton pairs in wave functionals presented in a prior publication via use of the Bogomil'nyi inequality