The $O(2,1)$ algebra and two-dimension electron Green's function in the field of magnetic monopole

A. I. Milstein; I. S. Terekhov; N. A. Vlasov; P. S. Sidorov

arxiv: 2605.30874 · v1 · pith:536SMMWDnew · submitted 2026-05-29 · 🪐 quant-ph · math-ph· math.MP

The O(2,1) algebra and two-dimension electron Green's function in the field of magnetic monopole

P. S. Sidorov , N. A. Vlasov , I. S. Terekhov , A. I. Milstein This is my paper

classification 🪐 quant-ph math-phmath.MP

keywords electronalgebrafieldfunctiongreenmagneticmonopolerepresentation

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Using the operator method and properties of $O(2,1)$ algebra, the integral representation for the two-dimensional Green's function of an electron in the field of a magnetic monopole is found. This representation is valid in all complex plane of the electron energy.

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The O(2,1) algebra and two-dimension electron Green's function in the field of magnetic monopole

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