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arXiv:1503.01384 · Physica A Statistical Mechanics and its Applications

Path-integral Fujikawa’s approach to anomalous virial theorems and equations of state for systems with SO(2,1) symmetry

CARLOS R. ORDÓÑEZ

Published Dec 2, 2015• 14 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2015.11.019

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We solve time-sliced path integrals of one-dimensional Coulomb system in an exact manner. In formulating path integrals, we make use of the Duru–Kleinert transformation with Fujikawa's gauge theoretical technique. Feynman kernels in the momentum representation both for bound states and scattering states will be obtained with clear pole structure that explains the exactness of the path integral. The path integrals presented here can be, therefore, evaluated exactly by making use of Cauchy's integral theorem.