Geodesic
Quantization of classical mechanics: Shall we Lie?
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 162-170

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : quantization
Keywords: Ostrogradsky method, Schrödinger equation, Lie symmetry, Noether symmetry. 
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     author = {M. C. Nucci},
     title = {Quantization of classical mechanics: {Shall} we {Lie?}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a12/}
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M. C. Nucci. Quantization of classical mechanics: Shall we Lie?. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 162-170. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a12/