One version starts with the canonical quantization of general relativity.

Another approach starts with the canonical quantization procedures of quantum theory.

The rest of this article deals with canonical quantization of field theory.

A scalar field theory provides a good example of the canonical quantization procedure.

The first methods developed for this involved gauge fixing and then applying canonical quantization.

The canonical quantization of higher order constrained systems described by Grassmann variables is considered.

However, the use of canonical quantization has left its mark on the language and interpretation of quantum field theory.

This runs into difficulties and is a version of the "problem of time" in the canonical quantization.

Why is this process called canonical quantization?

The details of the canonical quantization depend on the field being quantized, and whether it is free or interacting.

There are two common ways of developing a quantum field: the path integral formalism and canonical quantization.

The first method to be developed for quantization of field theories was canonical quantization.

The variational approach to the Glashow–Weinberg–Salam model, based on canonical quantization, is presented.

This section draws upon the ideas, language and notation of canonical quantization of a quantum field theory.

Although it has no effect at a classical level, the lack of equivariance makes the Galilei action inconsistent with the canonical quantization.

Canonical quantization is applied, by definition, on canonical coordinates.

This Poisson algebra is then -deformed in the same way as in canonical quantization.

The previous remark only applies to some formulations of quantum field theory, in particular, canonical quantization in the interaction picture.

Integrating it by parts over a spacelike cross section recovers the form of the integrand familiar from canonical quantization.

The canonical quantization is performed and the propagator of the fields is found in the first-order formalism.

For simplicity we will assume that canonical quantization is used; the vacuum state is then invariant under parity by construction.

Canonical quantization of a field theory is analogous to the construction of quantum mechanics from classical mechanics.

Canonical quantization yields a quantum-mechanical version of this theorem, the Von Neumann equation.

When the canonical quantization procedure is applied to a field, such as the electromagnetic field, the classical field variables become quantum operators.

What is "Relativistic Canonical Quantization"?