Exactness in the Path Integral of the Coulomb Potential in One Space Dimension

Details Exactness in the Path Integral of the Coulomb Potential in One Space Dimension Exactness in the Path Integral of the Coulomb Potential in One Space Dimension

2008-08-12

arxiv.org/abs/0808.1600v2

Mod.Phys.Lett.A23:3057-3076,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figure, to appear in Mod. Phys. Lett. A, added references and typos

Scientific paper

10.1142/S0217732308028491

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.

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