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RESEARCH PRODUCT

Quantization as a consequence of the group law

J. A. De AzcáarragaV. Aldaya

subject

PhysicsFree particleClassical mechanicsGroup (mathematics)Quantization (signal processing)AnharmonicityGeneral Physics and AstronomySymmetry groupDynamical systemClassical limitHarmonic oscillator

description

A method of gemetric quantization which solely makes use of the structure of the symmetry group of the dynamical system is proposed; the classical limit is discussed along similar lines. The method is applied to two examples, the free particle and the harmonic oscillator.

https://doi.org/10.1007/bf02725560