Document Type

Course

Journal/Book Title/Conference

Physics 3710 – Introductory Modern Physics

Publication Date

8-28-2017

First Page

1

Last Page

4

Abstract

The sanitized hydrogen atom: separating the variables

Separation of variables in the Schrödinger Equation for the hydrogen problem requires expressing Ψ as a product, Ψ(r,θ,φ,t) = R(r)Θ(θ )Φ(φ)T(t) , substituting into the partial differential equation [(5) in Sc3], and then dividing by Ψ. As in the square well problems, the separation constant for the t part of the separation is the particle’s eigen-energy, E.

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