Electrons of kinetic energy pass through two slits separated by and strike a screen a…

PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Quantum dynamics and its formulations · Quantum dynamics and its formulations

The Structure of Quantum Mechanics, Ch The path integral

Problem

Electrons of kinetic energy

E = 50\,\mathrm{eV}

pass through two slits separated by

d = 20\,\mu\mathrm{m}

and strike a screen a distance

D = 1.0\,\mathrm{m}

beyond the slits, with

D \gg d

. Using the path-integral result that two paths differing in length by

\Delta\ell

carry a relative phase

p\Delta\ell/\hbar

, find the spacing between adjacent bright fringes on the screen. Take the electron mass to be

9.109\times10^{-31}\,\mathrm{kg}