TITLE:
Magnetic Monopoles and the Quantum Theory of Magnetism in Matter
AUTHORS:
Amagh Nduka
KEYWORDS:
Monopoles, Diamagnetism, Paramagnetism, Ferromagnetism
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.1,
January
23,
2018
ABSTRACT: Electricity and magnetism are common features of our world. The subject of
electromagnetic fields in empty space populated only by point charges or
smooth charge distributions in space is well understood. In that case, one
deals with the classical theory of electrodynamics developed by J.C. Maxwell
in 1864. Electromagnetism in the presence of matter is, however, a completely
different problem. Microscopic electric behavior of homogeneous substances
can in general be characterized fairly simply and completely. The theory that
enables us to do this is fairly well understood. Sadly the situation is quite different
for magnetism in matter. The study there is phenomenological. That is,
the substance is characterized by a number of parameters and the experimentally
determined relations among them. We are not aware of any successful
microscopic theory of magnetism in matter. The microscopic theory of magnetic
substances, a topic of fundamental and technological importance, is the
subject of this paper.