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In this thesis we introduce a solution method for studying relativistic spin-0 particles. We solve the linearized Klein-Gordon equation; known as the Feshbach-Villars equation and express the formalism in an integral equation form. The integral equation is represented in the Coulomb-Sturmian basis. This basis allows an efficient calculation of the Green’s operator in terms of matrix continued fraction. In this approach, the asymptotically relevant terms of the Hamiltonian are kept in the Green’s operator. We determine the relativistic bound states of a spin-0 particle in a Coulomb-like vector potential plus a linear or quadratic confining scalar potential. We compare our results with the direct numerical solution of the Klein-Gordon differential equation and find perfect agreements.
| Advisor: | Papp, Zoltan |
| Commitee: | Jaikumar, Prashanth, Klaehn, Thomas |
| School: | California State University, Long Beach |
| Department: | Physics and Astronomy |
| School Location: | United States -- California |
| Source: | MAI 82/6(E), Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Applied physics, Particle physics, Energy |
| Keywords: | Spin-0 particles, Klein-Gordon equation |
| Publication Number: | 28028314 |
| ISBN: | 9798698594864 |
