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      Fractional Schrodinger equation

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          Abstract

          Properties of the fractional Schrodinger equation have been studied. We have proven the hermiticity of fractional Hamilton operator and established the parity conservation law for the fractional quantum mechanics. As physical applications of the fractional Schrodinger equation we have found the energy spectrum for a hydrogen-like atom - fractional ''Bohr atom'' and the energy spectrum of fractional oscillator in the semiclassical approximation. A new equation for the fractional probability current density has been developed and discussed. We also discuss the relationships between the fractional and the standard Schrodinger equations.

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          Fractional Quantum Mechanics and Levy Path Integrals

          The fractional quantum and statistical mechanics have been developed via new path integrals approach.
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            Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight

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              I.On the constitution of atoms and molecules

              N BOHR (1913)
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                Author and article information

                Journal
                14 June 2002
                Article
                10.1103/PhysRevE.66.056108
                quant-ph/0206098
                1daa865e-c8ae-494e-865a-c8f718cd85c8
                History
                Custom metadata
                Phys.Rev.E66:056108,2002
                18 pages
                quant-ph

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