A Valid Quantization of the Particle in a Box Field Theory, and Well Beyond
John R. Klauder
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.
Topics & Concepts
Quantization (signal processing)Affine transformationField (mathematics)Field theory (psychology)Canonical quantizationMathematicsPhysicsTheoretical physicsMathematical physicsQuantum mechanicsPure mathematicsAlgorithmQuantum gravityQuantumQuantum, superfluid, helium dynamicsCold Atom Physics and Bose-Einstein CondensatesCosmology and Gravitation Theories