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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 162–170
DOI: https://doi.org/10.4213/tmf6671 (Mi tmf6671) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Quantization of classical mechanics: Shall we Lie?

M. C. Nucci

Dipartimento di Matematica e Informatica, Università di Perugia, INFN Sezione Perugia, Perugia, Italy
Full-text PDF (387 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf6671
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.
Keywords: quantization, Ostrogradsky method, Schrödinger equation, Lie symmetry, Noether symmetry.
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 994–1001
DOI: https://doi.org/10.1007/s11232-011-0081-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. C. Nucci, “Quantization of classical mechanics: Shall we Lie?”, TMF, 168:1 (2011), 162–170; Theoret. and Math. Phys., 168:1 (2011), 994–1001
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :273
    References:51
    First page:25
     
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