2016/07/02 by Giorgio Gubbiotti, G. Gubbiotti, Gubbiotti, G. +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1607.00543
14 pages. arXiv admin note: text overlap with arXiv:1406.0192 in the Introduction since the authors' method of quantization is described again
arxiv created 2016/07/02 · openalex publication_date 2016/07/02 · arxiv updated 2017/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Schroedinger equation. The result is different from that given in [K. Kowalski, J.Rembielnski, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided.