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Exact Green's function of the Aharonov-Bohm-Coulomb system via the Feynman-Kac formula

Der-San Chuu and De-Hone Lin

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The Green's function of the relativistic Aharonov-Bohm-Coulomb system is given by the Feynman-Kac formula. The earlier treatment is based on the multiple-valued transformation of Levi-Civitá. The method used in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.


PACS

03.65.Ta Foundations of quantum mechanics; measurement theory

05.30.Pr Fractional statistics systems (anyons, etc.)

02.30.Sa Functional analysis

03.65.Db Functional analytical methods

02.30.Rz Integral equations

02.30.Em Potential theory

MSC

81V10 Electromagnetic interaction; quantum electrodynamics

81P15 Quantum measurement theory

82C22 Interacting particle systems (See also 60K35)

26B20 Integral formulas (Stokes, Gauss, Green, etc.)

Subjects

Quantum gases, liquids and solids

Mathematical physics

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 39 (1 October 1999)

Received 7 June 1999, in final form 4 August 1999



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