Physical Theories: Basic Formulations and Differential Forms

This book contains basic formulations of the electrodynamics, magnetohydrodynamics, geometrodynamics, quantum mechanics, quantum motion, quantum field and gauge theory.

As an application of the quantum field theory: In the part on macroscopic quantum phenomena the collective behaviour of condensed matter systems is described, for example, within the electron theory of superconductivity.

Exterior differential forms are adapted to contact, symplectic, and gauge connection forms. In particular, the differential-form equations for electromagnetism itself, but also for superconductivity are derived. The interior differential calculus can be ascribed to the relativistic quantum mechanics of the electron.

The differential-form concept is needed for the structures of modern physics. Differential forms reflect the aesthetics of physical theories.

The book addresses graduate students, lecturers, physicists and mathematicians.