The incorporation
of spin within classical mechanics suggests the following revision: the Euler
equations, or the concept of a time-derivative operator relative to different
reference frames, should be our new theoretical paradigm.
From here, the existence of formal developments valid both in classical and in
quantum mechanics are explored through the analysis of topics such as: the
dynamics of a particle with spin acted upon by a torque, the Thomas precession,
the equations of evolution for spin, the concept of quantization, the anomalous
Zeeman effect and the energy of the spin-orbit interaction.
The obtained results coincide for already-known concepts as well as those found
within quantum theories. For example, when considering the evolution of
particles with spin within magnetic fields, classical equations of motion
present equivalent results as those derived using equations of evolution for
expected quantum values. This means that there are similarities
supporting and justifying the point of view adopted in this book.
The author hopes
that the reader may benefit from and enjoy reading this text. For all whom read
and enjoy reading this publication, he pass on the words Virgil used when
talking about Lucretius, the author of De Rerum Natura, “Fortunate is he who is
able to know the causes of things.”