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.
Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries
NUCCI, Maria Clara
2017
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.File in questo prodotto:
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