## ON SOME QUANTUM AND ANALYTICAL PROPERTIES OF FRACTIONAL

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The space fractional Schrodinger equation with potential Dira barrier, Dira potential well and Dira c comb is studied. The jump condition of quantum Riesz fractional The space fractional Schrodinger equation with potential Dira barrier, Dira potential well and Dira c comb is studied. The jump condition of quantum Riesz fractional

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The space fractional Schrodinger equation with potential Dira barrier, Dira potential well and Dira c comb is studied. The jump condition of quantum Riesz February 25, 2016 Applications of rigged Hilbert spaces in quantum mechanics and signal processing E. Celeghini1; 2, M. Gadella , M. A. del Olmo2

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A fractional generalization of the Heisenberg uncertainty relation has been found. As physical applications of the fractional quantum mechanics we have studied a free particle in a square infinite potential well, the fractional "Bohr atom" and have developed a new fractional approach to the QCD problem of quarkonium. Mechanics with fractional derivatives: Abstract Lagrangian and Hamiltonian mechanics can be formulated to a quantum-mechanical wave equation is proposed

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The space fractional Schrodinger equation with potential Dira barrier, Dira potential well and Dira c comb is studied. The jump condition of quantum Riesz The space fractional Schrodinger equation with potential Dira barrier, Dira potential well and Dira c comb is studied. The jump condition of quantum Riesz

Fractional quantum mechanics (FQM) is the theory of quantum mechanics based on the fractional SchrГ¶dinger equation (FSE). In this paper, we consider the FSE as introduced by Laskin in [5, 6]. It was obtained in the context of the path integral approach to quantum mechanics. Mechanics with fractional derivatives: Abstract Lagrangian and Hamiltonian mechanics can be formulated to a quantum-mechanical wave equation is proposed

I read about Fractional Quantum Mechanics and it seemed interesting. But are there any justifications for this concept, such as some connection to reality, or other Application of Fractional Classical and Among the applications of the fractional derivatives and based on the fractional classical and quantum mechanics.

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We investigate some basic applications of Fractional Calculus (FC) to Newtonian mechanics. After a brief review of FC, we consider a possible generalization of Newton Fundamentals cover fractional SchrВЁodinger equation, quantum Riesz fractional derivative, path integral approach to fractional quantum me-chanics, hermiticity of the Hamilton operator, parity conservation law and the current density. Applications of fractional quantum mechanics cover

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Applications of fractional quantum mechanics cover dynamics of a free particle, new representation for a free particle quantum mechanical kernel, infinite potential well, bound state in {\delta}-potential well, linear potential, fractional Bohr atom and fractional oscillator. Fractional quantum mechanics (FQM) is the theory of quantum mechanics based on the fractional SchrГ¶dinger equation (FSE). In this paper, we consider the FSE as introduced by Laskin in [5, 6]. It was obtained in the context of the path integral approach to quantum mechanics.

February 25, 2016 Applications of rigged Hilbert spaces in quantum mechanics and signal processing E. Celeghini1; 2, M. Gadella , M. A. del Olmo2 Principles of Fractional Quantum Mechanics (N Laskin) Two Examples of Fractional Quantum First-Passage Phenomena and Their Applications. Resources. For Authors

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Fundamentals cover fractional SchrВЁodinger equation, quantum Riesz fractional derivative, path integral approach to fractional quantum me-chanics, hermiticity of the Hamilton operator, parity conservation law and the current density. Applications of fractional quantum mechanics cover On Applications of the Fractional Hermiticity of the fractional Hamilton operator and established the parity conservation law for fractional quantum mechanics

Applications of Quantum Mechanics. Cornell PHYS 3317 Fall 2018. Many-Particle Wavefunctions. [The most famous example is the fractional quantum Hall effect.] A fractional generalization of the Heisenberg uncertainty relation has been found. As physical applications of the fractional quantum mechanics we have studied a free particle in a square infinite potential well, the fractional "Bohr atom" and have developed a new fractional approach to the QCD problem of quarkonium.

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Fractional quantum mechanics (FQM) is the theory of quantum mechanics based on the fractional SchrГ¶dinger equation (FSE). In this paper, we consider the FSE as introduced by Laskin in [5, 6]. It was obtained in the context of the path integral approach to quantum mechanics. In physics , fractional quantum mechanics is a generalization of standard quantum mechanics , which naturally comes out when the Brownian-like quantum paths

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fractional quantum mechanics and Applications ~Gordon and Breach, Deformation of quantum mechanics in fractional-dimensional space. J. Solutions of Fractional Partial Differential Equations of Quantum Mechanics Hilfer, R. (Editor), Applications of Fractional Calculus in Physics, World

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### Fractional Calculus and its Applications in Physics

Fractional Schrцdinger equation Wikipedia. We investigate some basic applications of Fractional Calculus (FC) to Newtonian mechanics. After a brief review of FC, we consider a possible generalization of Newton, In physics , fractional quantum mechanics is a generalization of standard quantum mechanics , which naturally comes out when the Brownian-like quantum paths.

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Fractional Quantum Mechanics amazon.com. Application of Fractional Fourier application of FC in seismic data The fractional Order Fourier Transform and its application to Quantum mechanics: J https://en.m.wikipedia.org/wiki/Talk:Fractional_quantum_mechanics A fractional generalization of the Heisenberg uncertainty relation has been found. As physical applications of the fractional quantum mechanics we have studied a free particle in a square infinite potential well, the fractional "Bohr atom" and have developed a new fractional approach to the QCD problem of quarkonium..

In physics, fractional quantum mechanics is a generalization of standard quantum mechanics, Theory and Applications of Fractional Differential Equations. Applications of fractional quantum mechanics cover dynamics of a free particle, new representation for a free particle quantum mechanical kernel, infinite potential well, bound state in {\delta}-potential well, linear potential, fractional Bohr atom and fractional oscillator.

In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall Quantum Mechanics of Particles with Nick Laskin Carleton University Fractional Quantum Mechanics Abstract A review of fundamentals and physical applications of fractional quantum mechanics has been

A fractional generalization of the Heisenberg uncertainty relation has been found. As physical applications of the fractional quantum mechanics we have studied a free particle in a square infinite potential well, the fractional "Bohr atom" and have developed a new fractional approach to the QCD problem of quarkonium. February 25, 2016 Applications of rigged Hilbert spaces in quantum mechanics and signal processing E. Celeghini1; 2, M. Gadella , M. A. del Olmo2

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Derivatives and integrals of fractional-order have found many applications in recent studies in mechanics and physics, for example, in chaotic dynamics, quantum Fundamentals cover fractional SchrВЁodinger equation, quantum Riesz fractional derivative, path integral approach to fractional quantum me-chanics, hermiticity of the Hamilton operator, parity conservation law and the current density. Applications of fractional quantum mechanics cover

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Applications of fractional quantum mechanics cover dynamics of a free particle, new representation for a free particle quantum mechanical kernel, infinite potential well, bound state in {\delta}-potential well, linear potential, fractional Bohr atom and fractional oscillator. Fractional Dynamics of Hamiltonian Quantum Systems. Theory and Applications of Fractional Differential 2000, Fractional quantum mechanics, Physical Review

The subject of fractional calculus (that is, calculus of integrals and derivatives of fractional order) has emerged as a powerful and efficient mathematical Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum вЂ¦