Uncertainty principles and interference patterns

Tobias Kramer, Christian Bracher, M. Kleber

We study the quantal motion of electrons emitted by a pointlike monochromatic isotropic source into parallel uniform electric and magnetic fields. The two-path interference pattern in the emerging electron wave due to the electric force is modified by the magnetic lens effect which periodically focuses the beam into narrow filaments along the symmetry axis. There, four classical paths interfere. With increasing electron energy, the current distribution changes from a quantum regime governed by the uncertainty principle, to an intricate spatial pattern that yields to a semiclassical analysis.

E. U. Condon

Gong Xiao-guang

This article studies the phenomenon of electronic double slot interference theoretically with the light interference theory and the uncertainty principle and elaborates the interference mechanism of the electronic double slot interference phenomenon to explain that the formation of the electronic double slot interference pattern is not the result produced by the two electronics' action rather than the collective performance of the micro particles and their individual characters.This study provides the explanation of the formation of the electronic double slot interference pattern which differs from that in the textbook.

D. Sen, A. N. Basu, S. Sengupta

Abstract It is argued that two distinct types of complementarity are implied in Bohr's complementarity principle. While in the case of complementary variables it is the quantum mechanical uncertainty relation which is at work, the collapse hypothesis ensures this exclusiveness in the so-called wave-particle complementarity experiments. In particular it is shown that the conventional analysis of the double slit experiment which invokes the uncertainty principle to explain the absence of the simultaneous knowledge of the which-slit information and the interference pattern is incorrect and implies consequences that are quantum mechanically inconsistent.

Stephanie McBride, Catherine A. Fitzgerald, Brian Hand +2 more