Nonrelativistic quantum dynamics on a cone with and without a constraining potential

DOI10.1063/1.4770048zbMath1278.81096arXiv1205.1155OpenAlexW3121972938MaRDI QIDQ2872475

Fabiano M. Andrade, E. O. Silva, Cleverson Filgueiras

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1205.1155

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of semiconductors (82D37) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (8)

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential ⋮ Dynamics on the cone: Closed orbits and superintegrability ⋮ Modifications of Electron States, Magnetization, and Persistent Current in a Quantum Dot by Controlled Curvature ⋮ On the variation of curvature functionals in a space form with application to a generalized Willmore energy ⋮ Quantum states of a neutral massive fermion with an anomalous magnetic moment in an Aharonov–Casher field ⋮ On the dynamics of a particle on a hyperboloid ⋮ Quantum motion of a point particle in the presence of the Aharonov-Bohm potential in curved space ⋮ Global well-posedness for a class of semilinear hyperbolic equations with singular potentials on manifolds with conical singularities

Cites Work

• Unnamed Item
• Remarks on quantum mechanics on surfaces
• The effect of singular potentials on the harmonic oscillator
• Boundary conditions for quantum mechanics on cones and fields around cosmic strings
• Theory of defects in solids and three-dimensional gravity
• On the quantum dynamics of a point particle in conical space
• Electron on a cylinder with topological defects in a homogeneous magnetic field
• Geometric approach to viscous fingering on a cone

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