The Eigenfunction Method to Calculate the Klein-Gordon Propagator in an Inhomogeneous Magnetic Field

Emerson B.S. Corrêa; M. G. Lima; S. C. Q. Arruda

doi:10.37256/cm.3320221556

The Eigenfunction Method to Calculate the Klein-Gordon Propagator in an Inhomogeneous Magnetic Field

Authors

Emerson B.S. Corrêa Institute of Exact Sciences, Federal University of the South and Southeast of Pará-UNIFESSPA, Marabá, Brazil https://orcid.org/0000-0001-7080-394X
M. G. Lima Institute of Exact Sciences, Federal University of the South and Southeast of Pará-UNIFESSPA, Marabá, Brazil https://orcid.org/0000-0001-5380-6698
S. C. Q. Arruda Faculty of Exact Sciences and Technology, Federal University of Pará-UFPA, Abaetetuba, Brazil https://orcid.org/0000-0002-8901-2029

DOI:

https://doi.org/10.37256/cm.3320221556

Keywords:

Klein-Gordon propagator, Ritus'method, damped magnetic field

Abstract

In this paper, we use the Eigenfunction method (Ritus'method) to calculate the Klein-Gordon propagator under an external magnetic field with an exponential damping factor b, in a four-dimensional Euclidean space. We write the propagator of scalar field in terms of plane waves and Laguerre polynomials. Also the eigenvalues associated to differential operator show the quantization in the xy-plane through the Landau levels. We apply the calculated propagator to the mass parameter of an interacting boson system under an exponentially decaying magnetic field.

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Published

2022-08-25

How to Cite

Emerson B.S. Corrêa, M. G. Lima, S. C. Q. Arruda. The Eigenfunction Method to Calculate the Klein-Gordon Propagator in an Inhomogeneous Magnetic Field. Contemp. Math. [Internet]. 2022 Aug. 25 [cited 2024 Dec. 27];3(3):343-52. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1556

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Issue

Contemporary Mathematics, Volume 3 Issue 3 (2022), 270-385

Section

Research Article