Chapter 19: Algebraic Quantization

In the present chapter, we are again concerned with an arbitrary real pre-symplectic space (E, σ), which describes — as the so-called “test function space” — the degrees of freedom of a physical system. The number of degrees of freedom is the cardinality of a (real) basis of E, divided by two. Let us emphasize once more that a degree of freedom of motion is a universal concept, independent of how the motion is described theoretically within kinematics…