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Journal of Mathematical Physics : Weyl quantization of fractional derivatives

By Vasily E. Tarasov

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Book Id: WPLBN0002169542
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 31 October 2008

Title: Journal of Mathematical Physics : Weyl quantization of fractional derivatives  
Author: Vasily E. Tarasov
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
Historic
Publication Date:
2008
Publisher: American Institute of Physics

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Tarasov, V. E. (2008). Journal of Mathematical Physics : Weyl quantization of fractional derivatives. Retrieved from http://community.worldlibrary.net/


Description
Description: The quantum analogs of the derivatives with respect to coordinates qk and momenta pk are commutators with operators Pk and Qk. We consider quantum analogs of fractional Riemann–Liouville and Liouville derivatives. To obtain the quantum analogs of fractional Riemann–Liouville derivatives, which are defined on a finite interval of the real axis, we use a representation of these derivatives for analytic functions. To define a quantum analog of the fractional Liouville derivative, which is defined on the real axis, we can use the representation of the Weyl quantization by the Fourier transformation.

 

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