Quantization of classical mechanics: Shall we lie?

Author: Nucci M.  

Publisher: Springer Publishing Company

ISSN: 0040-5779

Source: Theoretical and Mathematical Physics, Vol.168, Iss.1, 2011-07, pp. : 994-1001

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Abstract

We propose a Lie-Noether-symmetry solution of two problems that arise with classical quantization: the quantization of higher-order (more than second) Euler-Lagrange ordinary differential equations of classical mechanics and the quantization of any second-order Euler-Lagrange ordinary differential equation that classically comes from a simple linear equation via nonlinear canonical transformations.