Half theory fractional angular momentum and the application of fractional derivatives to quantum mechanics

DOI10.1063/1.4990102zbMath1385.81019OpenAlexW2788393587MaRDI QIDQ4607683

Steve Bildstein

Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4990102

zbMATH Keywords

angular momentumfractional derivative

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Molecular physics (81V55) Spherical harmonics (33C55) Fractional partial differential equations (35R11)

Related Items (4)

Half theory. II. The application of fractional spherical harmonics to chemical bonding ⋮ A bi-directional method for evaluating integrals involving higher transcendental functions. HyperRAF: a Julia package for new hyper-radial functions ⋮ Complete and orthonormal sets of exponential-type orbitals with non-integer quantum numbers ⋮ A numerical method for fractional Schrödinger equation of Lennard-Jones potential

Cites Work

• Properties of the Katugampola fractional derivative with potential application in quantum mechanics
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