Finite-part integration in quantum scattering off a one-dimensional first-derivative delta potential

Philip Jordan Dacio Blancas; Eric A Galapon

Finite-part integration in quantum scattering off a one-dimensional first-derivative delta potential

Philip Jordan Dacio Blancas National Institute of Physics, University of the Philippines Diliman
Eric A Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

Quantum scattering of a one-dimensional δ'-potential is discussed in this paper. The divergent integrals that arise in the solution are interpreted using finite-part integration along a deformed semi-circular contour. Consequently, the deformed contour leads to the interference of the transmission wave and varies the probability amplitudes.

Published

2018-05-24

How to Cite

[1]

P. J. Blancas and E. Galapon. Finite-part integration in quantum scattering off a one-dimensional first-derivative delta potential, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-21 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PC-21.

Issue

Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)