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

Abstract

The usual particle in a box is turned into a field theory, and its behavior is examined using canonical and affine quantizations. The result 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.

Keywords

• expanding the particle in a box
• affine quantization required
• a novel replacement of conventional field theory