Quantizing preserving Noether symmetries

Details Quantizing preserving Noether symmetries Quantizing preserving Noether symmetries

2011-08-10

arxiv.org/abs/1108.2300v1

Physics

Quantum Physics

Scientific paper

A procedure which obviates the constraint imposed by the conflict between consistent quantization and the invariance of the Hamiltonian description under nonlinear canonical transformation is proposed. This new quantization scheme preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schr\"odinger's equation. As an example, the quantization of the `goldfish' many-body problem extensively studied by Calogero et al. is presented.

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