The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II

DOI10.1063/1.4757604zbMath1278.81092arXiv1211.2076OpenAlexW3100960306MaRDI QIDQ2872291

Mariano Santander, Manuel F. Rañada, José F. Cariñena

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/1211.2076

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (10)

$SU(2)$ -particle sigma model: momentum-space quantization of a particle on the sphere S ³ ⋮ On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications ⋮ Motion on constant curvature spaces and quantization using noether symmetries ⋮ New scenarios for classical and quantum mechanical systems with position-dependent mass ⋮ An exactly solvable three-dimensional nonlinear quantum oscillator ⋮ On the functions of two commuting Laplace-Beltrami operators in hyperbolic space ⋮ Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners ⋮ Building a path-integral calculus: a covariant discretization approach ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³ ⋮ On the classical and quantum dynamics of a class of nonpolynomial oscillators

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