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 / Gubbiotti, G.; NUCCI, Maria Clara. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - STAMPA. - 23:3(2017), pp. 356-367. [10.1080/14029251.2017.1341698]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
