Induced Magnetic Field in Accretion Disks Around Neutron Stars: The Solution for the Induced Field

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8 Mar 2024

This paper is available on arxiv under CC 4.0 license.

Authors:

(1) A. V. Kuzin, Sternberg Astronomical Institute, Moscow, Russia and E-mail: alv.kuzin@gmail.com.

Abstract and Introduction

Model of Disk and Neutron Star

Main Equations

The Solution for the Induced Field

Discussion

Conclusion and References

4. THE SOLUTION FOR THE INDUCED FIELD

where A, C may be found easily from boundary conditions.

The problem for u may be solved in the following way. First, we solve the Sturm-Liouville problem with corresponding boundary conditions:

Eigenfunctions of (27) are combinations of Bessel functions of the first and second kind:

while the eigenvalues are roots of the equation: