Fractional Schrodinger equation

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dc.creatorLaskin, N.
dc.date2002-06-14
dc.date.accessioned2026-07-07T12:38:24Z
dc.date.available2026-07-07T12:38:24Z
dc.descriptionProperties 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0206098
dc.identifierhttp://arxiv.org/abs/quant-ph/0206098
dc.identifierPhys.Rev.E66:056108,2002
dc.identifierdoi:10.1103/PhysRevE.66.056108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218746
dc.subjectQuantum Physics
dc.titleFractional Schrodinger equation
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