Quantum-classical correspondence for motion on a plane with deficit angle
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Publication:990012
DOI10.1016/j.aop.2010.02.013zbMath1194.81071OpenAlexW2010410018MaRDI QIDQ990012
Publication date: 24 August 2010
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2010.02.013
harmonic oscillatorquantum-classical correspondencemotion on a coneSU(2) coherent statesCoulomb-Kepler potential
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Cites Work
- Unnamed Item
- Unusual properties of some E=0 localized states and the quantum-classical correspondence
- Quantum and classical solutions for a free particle in wedge billiards
- Theory of defects in solids and three-dimensional 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
- Coherent states for the hydrogen atom: discrete and continuous spectra
- Oscillator eigenstates concentrated on classical trajectories
- Non-relativistic quantum systems on topological defects spacetimes
- Elliptic eigenstates for the quantum harmonic oscillator
- Coherent states for the hydrogen atom
- Quantum mechanics of the two-dimensional circular billiard plus baffle system and half-integral angular momentum
- Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions
- Harmonic oscillator interacting with conical singularities
- The two-dimensional hydrogen atom revisited
- Fractional and integer angular momentum wavefunctions localized on classical orbits: the case ofE= 0
- Perturbation theory of Kepler motion based on spinor regularization.
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0