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quant-phApr 22, 2013
22
citations (OpenAlex)
authors
  • K. Kowalski
  • J. Rembieliński
institutions
  • University of Łódź
arXiv abstractPDF
paper

On the dynamics of a particle on a cone

arXiv:1304.4412 · doi:10.1016/j.aop.2012.10.003

Abstract

A detailed study of the classical and quantum mechanics of a free particle on a double cone and the particle bounded to its tip by the harmonic oscillator potential is presented.

18 pages, 10 figures

References in corpus (6)

  • Lensing effects in a nematic liquid crystal with topological defects
  • On the quantum dynamics of a point particle in conical space
  • Quantum mechanics of a free particle on a pointed plane revisited
  • Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions
  • Runge-Lenz Vector, Accidental SU(2) Symmetry, and Unusual Multiplets for Motion on a Cone
  • Specific heat of a particle on the cone

Cited by in corpus (8)

  • Landau levels, self-adjoint extensions and Hall conductivity on a cone
  • Cosmology in the laboratory: an analogy between hyperbolic metamaterials and the Milne universe
  • Influence of spatially varying pseudo-magnetic field on a 2D electron gas in graphene
  • Curved non-interacting two-dimensional electron gas with anisotropic mass
  • Dynamics on the cone: closed orbits and superintegrability
  • Conformal bridge in a cosmic string background
  • Electronic properties of single and double napped carbon nanocones
  • Relativistic Quantum Dynamics on a Double Cone
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