Finite part integration of an integral relevant in the mechanism giving rise to flux noise in SQUIDs

Authors

Leonarc Michelle Santos ⋅ PH National Institute of Physics, University of the Philippines Diliman
Christian Dacoycoy Tica ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric Alvarez Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Finite part integration is a method of evaluating a given convergent integral by inducing divergence
in the convergent integral and then interpreting the divergent integrals arising as finite part integrals.
Here we evaluate an integral with a form of a standard Stieltjes transform exactly and asymptotically
using finite part integration. The integral is claimed to be relevant on the study of the mechanism
producing intrinsic flux noise in superconducting quantum interference devices or SQUIDs.

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Issue

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

Article ID

SPP-2018-PC-15

Section

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

Published

2018-05-24

How to Cite

[1]

LM Santos, CD Tica, and EA Galapon, Finite part integration of an integral relevant in the mechanism giving rise to flux noise in SQUIDs, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-15 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-PC-15.