TITLE:
Affine Quantization on the Half Line
AUTHORS:
Laure Gouba
KEYWORDS:
Classical Physics, Quantum Physics, Affine Quantization
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.7 No.1,
January
29,
2021
ABSTRACT: The similarity between classical and quantum physics is large enough to make an investigation of quantization methods a worthwhile endeavour. As history has shown, Dirac's canonical quantization method works reasonably well in the case of conventional quantum mechanics over Rn but it may fail in non-trivial phase spaces and also suffer from ordering problems. Affine quantization is an alternative method, similar to the canonical quantization, that may offer a positive result in situations for which canonical quantization fails. In this paper we revisit the affine quantization method on the half-line. We formulate and solve some simple models, the free particle and the harmonic oscillator.