A generalized eigenvalue problem solution for an uncoupled multicomponent system

Leo Diago Cisneros, Guillermo Fernández‐Anaya, G Bonfanti-Escalera · Physica Scripta · 2008

Meaningful and well-founded physical quantities are convincingly determined by eigenvalue problem solutions emerging from a second-order N -coupled system of differential equations, known as the Sturm–Liouville matrix boundary problem. Via the generalized Schur decomposition procedure and imposing to the multicomponent system to be decoupled, which is a widely accepted remarkable physical situation, we have unambiguously demonstrated a simultaneously triangularizable scenario for (2 N ×2 N ) matrices content in a generalized eigenvalue equation.

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