On the dynamics of a particle on a cone

DOI10.1016/j.aop.2012.10.003zbMath1266.81069arXiv1304.4412OpenAlexW3103124539WikidataQ62044907 ScholiaQ62044907MaRDI QIDQ1947393

Jakub Rembieliński, Krzysztof Kowalski

Publication date: 22 April 2013

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

Full work available at URL: https://arxiv.org/abs/1304.4412

zbMATH Keywords

quantum mechanicsharmonic oscillatorconstrained systemsmotion on a coneclassical mechanicsclassical and quantum unstable motion

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Holonomic systems related to the dynamics of a system of particles (70F20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (9)

Dynamics on the cone: Closed orbits and superintegrability ⋮ A Curved Noninteracting 2D Electron Gas with Anisotropic Mass ⋮ Quantum mechanical treatment of a constrained particle on two dimensional sphere ⋮ Geometry-induced quantum dots on surfaces with Gaussian bumps ⋮ Electronic properties of single and double napped carbon nanocones ⋮ Quantum mechanics of a constrained particle on an ellipsoid: bein formalism and geometric momentum ⋮ Relativistic quantum dynamics on a double cone ⋮ On the dynamics of a particle on a hyperboloid ⋮ Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The non-relativistic Coulomb problem on a cone
• Quantum-classical correspondence for motion on a plane with deficit angle
• Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity
• Runge-Lenz vector, accidental SU(2) symmetry, and unusual multiplets for motion on a cone
• On the quantum dynamics of a point particle in conical space
• Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions
• Exotic behaviour of a quantum particle on a circle

This page was built for publication: On the dynamics of a particle on a cone