eISSN:2278-5299

International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35,  Peer-reviewed, Open-access Journal

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COORDINATE, MOMENTUM AND DISPERSION OPERATORSIN PHASE SPACE REPRESENTATION

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.6 Issue 4, pp 8-13,Year 2017

COORDINATE, MOMENTUM AND DISPERSION OPERATORSIN PHASE SPACE REPRESENTATION

HanitriarivoRakotoson, RaoelinaAndriambololona, RavoTokiniainaRanaivoson, Raboanary Roland

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Received : 05 July 2017; Accepted : 14 July 2017 ; Published : 31 August 2017

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Abstract

The aim of this paper is to present a study on the representations of coordinate, momentum and dispersion operators in the framework of a phase space representation of quantum mechanics that we have introduced and studied in previous works. We begin in the introduction section with a recall about the concept of representation of operatorson wave function spaces. Then, we show that in the case of the phase space representation the coordinate and momentum operators can be represented either with differential operators or with matrices. The explicit expressions of both the differential operators and matrices representations are established.Multidimensional generalization of the obtained results areperformed and phase space representation of dispersion operators are given.

Key Words   
quantum theory, phase space, quantum operators,representation,matrices
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References
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To cite this article

HanitriarivoRakotoson, RaoelinaAndriambololona, RavoTokiniainaRanaivoson, Raboanary Roland , " Coordinate, Momentum And Dispersion Operatorsin Phase Space Representation ", International Journal of Latest Research in Science and Technology . Vol. 6, Issue 4, pp 8-13 , 2017


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