A Valid Quantization of The Particle in a Box Field Theory, and Well Beyond

TL;DR

This paper develops a valid affine quantization method for the particle in a box field theory, extending the traditional quantum mechanics model into a field-theoretic context and suggesting potential for more complex models.

Contribution

It introduces a new affine quantization approach for the particle in a box field theory, advancing the quantization techniques for field theories.

Findings

Valid affine quantization of the particle in a box field theory

Extension of quantization methods to more realistic models

Potential for broader application in quantum field theory

Abstract

The usual particle in a box is turned into a field theory, and its behavior is examined using canonical and affine quantizations. The resulting leads to a valid affine quantization of the particle in a box field theory, which points toward further valid quantizations of more realistic field theory models.