Journal of High Energy Physics, Gravitation and Cosmology

Volume 7, Issue 1 (January 2021)

ISSN Print: 2380-4327   ISSN Online: 2380-4335

Google-based Impact Factor: 1.51  Citations  

Affine Quantization on the Half Line

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DOI: 10.4236/jhepgc.2021.71019    473 Downloads   1,394 Views  Citations
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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.

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Gouba, L. (2021) Affine Quantization on the Half Line. Journal of High Energy Physics, Gravitation and Cosmology, 7, 352-365. doi: 10.4236/jhepgc.2021.71019.

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