An Extremum Principle for a Neutron Diffraction Experiment

Gregg Jaeger

Photonics Center, 8 St. Mary's St., Dept. of Electrical and Computer Engineering, Boston University, Boston MA 02215

Abner Shimony

Departments of Philosophy and Physics, Boston University, Boston MA 02215

A variational formulation of the Schroedinger Equation is shown to provide a direct justification of a practical rule for analyzing a neutron diffraction experiment of Finkelstein analyzed by Horne, Finkelstein, Shull, Zeilinger and Bernstein. The experiment in question exhibited an enhancement of the effect of the spin-orbit interaction with the radial electric field of a nucleus or complete atom due to a resonance effect arising when neutrons fulfill Bragg's condition in entering a crystal immersed in a strong magnetic field.

(To appear in Foundations of Physics)