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arxiv: 1105.2313 · v1 · pith:Q4YSPBFCnew · submitted 2011-05-11 · 🪐 quant-ph · cond-mat.soft· math-ph· math.MP

On quantum corrections to dislocations mass

classification 🪐 quant-ph cond-mat.softmath-phmath.MP
keywords correctionsquantumcrystaldislocationsfunctionalintegralmassquasi-classical
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Quasi-classical quantization of crystal dislocations field is considered in terms of functional integral. The generalized zeta-function is used to evaluate the functional integral and quantum corrections to mass in quasi-classical approximation. The quantum corrections to few classical solutions of one-dimensional Sin-Gordon model are evaluated with account of rest $n-1$ dimensions. The results are applied to appropriate crystal dislocation models.

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