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arXiv · hep-th/9512097

Proper incorporation of self-adjoint extension method to Green's function formalism : one-dimensional $δ^{'}$-function potential case

D. K. Park
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Abstract

One-dimensional $δ^{'}$-function potential is discussed in the framework of Green's function formalism without invoking perturbation expansion. It is shown that the energy-dependent Green's function for this case is crucially dependent on the boundary conditions which are provided by self-adjoint extension method. The most general Green's function which contains four real self-adjoint extension parameters is constructed. Also the relation between the bare coupling constant and self-adjoint extension parameter is derived.

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D. K. Park. 1995-12-15. Proper incorporation of self-adjoint extension method to Green's function formalism : one-dimensional $δ^{'}$-function potential case. https://doi.org/10.1088/0305-4470%2F29%2F19%2F024

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