Self-adjoint extensions of the Laplacian and Aharonov–Bohm operators with a potential supported on a circle
Mahouton Norbert Hounkonnou
Using the definition of a self-adjoint operator, we give the self-adjoint extensions of the Laplacian and Aharonov–Bohm operators with a potential supported on a circle of radius R . This study gives rise to interesting results, namely all self-adjoint extensions are given by a four-parameter family of self-adjoint operators, reproducing a matrix representation for U (2) symmetry.
Journal of Physics A Mathematical and General•Sep 23, 2003•0 citations