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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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Study on a Phase Space Representation of Quantum Theory

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.2 Issue 2, pp 26-35,Year 2013

STUDY ON A PHASE SPACE REPRESENTATION OF QUANTUM THEORY

Tokiniaina RANAIVOSON, RAOELINA ANDRIAMBOLOLONA, Rakotoson HANITRIARIVO,Roland RABOANARY

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Received : 03 April 2013; Accepted : 09 April 2013 ; Published : 30 April 2013

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Article No. 10153
Abstract

A study on a method for the establishment of a phase space representation of quantum theory is presented. The approach utilizes the properties of Gaussian distribution, the properties of Hermite polynomials, Fourier analysis and the current formulation of quantum mechanics which is based on the use of Hilbert space and linear operators theory. Phase space representation of quantum states and wave functions in phase space are introduced using properties of a set of functions called harmonic Gaussian functions. Then, new operators called dispersion operators are defined and identified as the operators which admit as eigenstates the basis states of the phase space representation. Generalization of the approach for multidimensional cases is shown. Examples of applications are given.

Key Words   
Phase space, Quantum theory, Quantum state, Wave function, Linear operator, Hermite polyno
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References
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To cite this article

Tokiniaina RANAIVOSON, RAOELINA ANDRIAMBOLOLONA, Rakotoson HANITRIARIVO,Roland RABOANARY , " Study On A Phase Space Representation Of Quantum Theory ", International Journal of Latest Research in Science and Technology . Vol. 2, Issue 2, pp 26-35 , 2013

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