BOUND STATE ENERGY OF DELTA-FUNCTION POTENTIAL: A NEW REGULARIZATION SCHEME

Document Type: Research Note

Authors

1 Department of Physics, Amirkabir University of Technology, P. O. Box 15875-4413, Tehran, I. R. of Iran

2 Islamic Azad University, Urmia branch, Urmia, I. R. of Iran

Abstract

In this letter we have proposed a new regularization scheme to deal with the divergent integrals
occurring in the quantum mechanical problem of calculating the bound state energy of the delta-function
potential in two and three dimensions. Based on the Schwinger parameterization technique we argue that
there are no infinities even in D dimensions. In this way we were able to compare our proposal with the
Schwinger regularization approch.

Keywords