let be the Lagrangian [tex] (1/2)m( \dot x ^{2} + \dot y^{2}) - \lambda (x^{2}+y^{2}-R^{2}) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

with 'lambda' a Lagrange multiplier , and 'R' is the radius of an sphere.

basically , this would be the movement of a particle in 2-d with the constraint that the particle must move on an sphere of radius 'R' , my doubt is that i do not know how to quantizy it since [tex] p_{\lambda}=0 [/tex]

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# Canonical quantization with constraints

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