Massive complex Klein-Gordon scalar field in a Schwarzschild background

<p>The behaviour of a massive complex Klein-Gordon scalar field in a Schwarzschild background is analized using tortoise coordinates. Using these coordinates we obtain an expression for the action in terms of an effective potential and a radial wave function. From the action we get the corresp...

Full description

Bibliographic Details
Main Author: Carlos A. Marín
Format: Article
Language:English
Published: Universidad San Francisco de Quito USFQ 2015-05-01
Series:ACI Avances en Ciencias e Ingenierías
Subjects:
Online Access:http://revistas.usfq.edu.ec/index.php/avances/article/view/216
Description
Summary:<p>The behaviour of a massive complex Klein-Gordon scalar field in a Schwarzschild background is analized using tortoise coordinates. Using these coordinates we obtain an expression for the action in terms of an effective potential and a radial wave function. From the action we get the corresponding wave equation and obtain some solutions of that equation for a mode of frequency u. Additionally, we study the effective potential in terms of the radial distance <em>r</em> and the quantum number <em>l</em>. Finally, we estimate the energy that we need to traverse the potential barrier for some values of l.</p>
ISSN:1390-5384
2528-7788