Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions

DOI10.1016/j.physleta.2013.10.048zbMath1396.81106OpenAlexW2045140677MaRDI QIDQ1786620

Irina Petreska, Trifce Sandev, Ervin Kaminski Lenzi

Publication date: 24 September 2018

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.10.048

zbMATH Keywords

hypergeometric functionsGegenbauer polynomialsharmonic and anharmonic oscillatorsanisotropic interactionsSchrödinger equation with noninteger dimension

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (6)

Scattering from a PEC strip buried in non-integer dimensional planar grounded dielectric slab by using Kobayashi potential method ⋮ Anisotropic fractal media by vector calculus in non-integer dimensional space ⋮ Fraction‐Dimensional Accessible Solitons in a Parity‐Time Symmetric Potential ⋮ Accessible solitons of fractional dimension ⋮ The time-dependent Schrödinger equation in non-integer dimensions for constrained quantum motion ⋮ Vector calculus in non-integer dimensional space and its applications to fractal media

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