Quantic fibers for classical systems: an introduction to geometric quantization

Autores

  • Gabriel Catren Université Paris 7; Investigador del laboratorio Sphere

DOI:

https://doi.org/10.1590/S1678-31662013000100003

Resumo

In this article, We shall introduce the formalism of canonical quantization called "geometric quantization". Since this formalism let us understand quantum mechanics as a geometric extension of classical mechanics, we shall identify the insufficiencies of the latter that are resolved by such an extension. We shall show that geometric quantization permits us to explain some fundamental features of quantum mechanics, such as the non-commutativity of quantum operators and the discrete spectrum of some operators describing physical quantities.

Publicado

2013-03-01

Como Citar

Catren, G. (2013). Quantic fibers for classical systems: an introduction to geometric quantization . Scientiae Studia, 11(1), 35-74. https://doi.org/10.1590/S1678-31662013000100003

Edição

Seção

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