Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-15
J.Phys.A29:6407-6412,1996
Physics
High Energy Physics
High Energy Physics - Theory
LATEX, 13 pages
Scientific paper
10.1088/0305-4470/29/19/024
One-dimensional $\delta^{'}$-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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