Perturbation Expansions of First Order Eigenvalue Equations in Quantum Mechanics
The central field Schrodinger, Klein-Gordon, and Dirac equations can all be written in terms of an independent Riccati equation and a dependent first order linear differential equation. These equations have been expanded for a general excited state with all results expressed in quadrature. The J=0 states of the Breit equation have been shown to reduce to the same form. Applications of this formalism to a large range of both analytical and numerical problems have been considered, including a new variational technique and application to wave function dependent potentials.
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- Physics: General