Tuesday, July 16, 2013

1307.3803 (G. Gubbiotti et al.)

Noether symmetries and the quantization of a Lienard-type nonlinear

G. Gubbiotti, M. C. Nucci
The classical quantization of a Lienard-type nonlinear oscillator is achieved by a quantization scheme (M.C. Nucci. Theor. Math. Phys., 168:997--1004, 2011) that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schr\"odinger equation. This method straightforwardly yields the correct Schr\"odinger equation in the momentum space (V. Chithiika Ruby, M. Senthilvelan, and M. Lakshmanan. J. Phys. A: Math. Gen., 45:382002, 2012), and sheds light into the apparently remarkable connection with the linear harmonic oscillator.
View original: http://arxiv.org/abs/1307.3803

No comments:

Post a Comment