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)