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

Authors

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

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City

Please visit the activity webpage for SPP2018 for more information on this year's conference.

Article ID

SPP-2018-PC-21

Section

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

Published

2018-05-24

How to Cite

[1]

PJD Blancas and EA 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://proceedings.spp-online.org/article/view/SPP-2018-PC-21.