In this thesis we use integral equation formalism to solve the Feshbach-Villars equations for relativistic spin-zero particles. The Coulomb Hamiltonian of the Feshbach-Villars equations in the Coulomb-Sturmian basis is represented by an infinite block tridiagonal matrix. Consequently, its resolvent can be calculated by a matrix continued fraction. This continued fraction does not naturally converge in the whole complex energy plane. By calculating the limit of the matrix continued fraction, we expedite the convergence and achieve analytic continuation into the whole complex energy plane. This allows us to find resonant states of spin-0 particles.
|Commitee:||Bill, Andreas, Jaikumar, Prashanth|
|School:||California State University, Long Beach|
|Department:||Physics and Astronomy|
|School Location:||United States -- California|
|Source:||MAI 81/4(E), Masters Abstracts International|
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