A confined \(N\)-dimensional harmonic oscillator

DOI10.1007/s10773-007-9630-9zbMath1159.81362OpenAlexW1968116227MaRDI QIDQ1008088

Sami M. Al-Jaber

Publication date: 24 March 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9630-9

zbMATH Keywords

foundationshigher dimensionsconfined systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items

A confined hydrogen atom in higher space dimensions ⋮ Analytical solutions of a generalized non-central potential in N-dimensions ⋮ Trapping of a particle in a short-range harmonic potential well ⋮ Average energy and Shannon entropy of a confined harmonic oscillator in a time-dependent moving boundary ⋮ Wide effectiveness of a sine basis for quantum-mechanical problems in \(d\) dimensions ⋮ On two superintegrable nonlinear oscillators in \(N\) dimensions

Cites Work

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• Generalized spiked harmonic oscillator
• Einstein coefficients and dipole moments for the asymmetrically confined harmonic oscillator
• Quantum mechanical models in fractional dimensions
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• Time evolution of a time-dependent harmonic oscillator in a static magnetic field
• TheN-dimensional Coulomb problem: Stark effect in hyperparabolic and hyperspherical coordinates
• Simple calculation of the wavefunctions of a time-dependent harmonic oscillator
• Variational analysis for a generalized spiked harmonic oscillator
• Hydrogen atom in a spherical well: linear approximation
• Bound states ofn-dimensional harmonic oscillator decorated with Dirac delta functions

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