Volume 24, Issue 3, June 2017, Pages 356 - 367
Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries
Authors
G. Gubbiotti
Dipartimento di Matematica e Fisica, Universià degli Studi Roma Tre, & INFN Sezione di Roma Tre, 00146 Roma, Italy,gubbiotti@mat.uniroma3.it
M.C. Nucci
Dipartimento di Matematica e Informatica, Università degli Studi di Perugia & INFN Sezione di Perugia, 06123 Perugia, Italy,nucci@unipg.it
Received 29 December 2016, Accepted 31 March 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1341698How to use a DOI?
- Keywords
- Lie and Noether symmetries; motion of a particle on a double cone; classical quantization
- Abstract
The classical quantization of the motion of a free particle and that of an harmonic oscillator on a double cone are achieved by a quantization scheme [M. C. Nucci, Theor. Math. Phys. 168 (2011) 994], that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. The result is different from that given in [K. Kowalski, J. Rembielński, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided.
- Copyright
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - G. Gubbiotti AU - M.C. Nucci PY - 2021 DA - 2021/01/06 TI - Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries JO - Journal of Nonlinear Mathematical Physics SP - 356 EP - 367 VL - 24 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1341698 DO - 10.1080/14029251.2017.1341698 ID - Gubbiotti2021 ER -