Mathematical Aspects of the Heisenberg Uncertainty Principle Within Local Fractional Fourier Analysis
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Abstract
In this paper, we discuss the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. The Schrodinger equation and Heisenberg uncertainty principles are structured within local fractional operators.
Description
Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879
Keywords
Heisenberg Uncertainty Principle, Local Fractional Fourier Operator, Schrodinger Equation, Fractal Time-Space, Schrödinger equation;, Inverse Problems in Mathematical Physics and Imaging, Heisenberg uncertainty principle, Mathematical analysis, Quantum mechanics, Fractal time-space, Quantum, Differential equation, Uncertainty principle, FOS: Mathematics, Mathematical Physics, Uncertainty Principles, Local fractional Fourier operator, Algebra and Number Theory, Applied Mathematics, Physics, FOS: Clinical medicine, Fractional Fourier Transform Analysis, Fractional calculus, Partial differential equation, Applied mathematics, Fourier analysis, Dentistry, Physical Sciences, Computer Science, Fourier transform, Medicine, Computer Vision and Pattern Recognition, Image Denoising Techniques and Algorithms, Calculus (dental), Analysis, Mathematics, Ordinary differential equation, Schrödinger equation, local fractional Fourier operator, Fractional partial differential equations, Commutation relations and statistics as related to quantum mechanics (general), fractal time-space, Time-dependent Schrödinger equations and Dirac equations
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, Jose Antonio, "Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis", Boundary Value Problems, (2013)
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38
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2013
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