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EnglishThe 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 Schr¨odinger equation. The result is different from that given in [K. Kowalski, J. Rembiel´nski, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided.
| Titolo: | Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries |
| Autori: | NUCCI, Maria Clara (Corresponding) |
| Data di pubblicazione: | 2017 |
| Rivista: | |
| 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 Schr¨odinger equation. The result is different from that given in [K. Kowalski, J. Rembiel´nski, Ann. Phys. 329 (2013) 146]. A comparison of the different outcomes is provided. |
| Handle: | http://hdl.handle.net/11570/3193984 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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http://hdl.handle.net/11570/3193984
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