Problems for
Intermediate Methods in Theoretical Physics

Edward F. Redish

Dimensional Analysis of the Schrödinger Equation

The Schrödinger equation for an electron in a hydrogen atom is

where is Planck's constant (from the uncertainty principle), m is the mass of the electron, and K is a combination of other constants (K/r is the potential energy).  

Use these dimensioned parameters of the system to create a constant with the dimensions of energy.

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This page prepared by

Edward F. Redish
Department of Physics
University of Maryland
College Park, MD 20742
Phone: (301) 405-6120
Email: redish@umd.edu

Last revision 16. October, 2005.