Classical and quantum dynamics in an inverse square potential

DOI10.1063/1.4899083zbMath1298.81071OpenAlexW2051499949MaRDI QIDQ2928123

H. N. Núñez-Yépez, Elisa Guillaumín-España, A. L. Salas-Brito

Publication date: 6 November 2014

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

Full work available at URL: https://doi.org/10.1063/1.4899083

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

Comment on “The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects” [J. Math. Phys. 54, 053509 (2013)] ⋮ On the time-dependent Rindler Hamiltonian single particle eigenstates in momentum space ⋮ New classes of exact solutions to three-dimensional Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Critical electric dipole moment in one dimension
• Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions
• Classical and quantum motion in an inverse square potential
• Caustics of classical particle scattering
• Renormalization in conformal quantum mechanics
• Application of symmetries to central force problems
• On the limit cycle for the \(1/r^{2}\) potential in momentum space
• On the real spectra of the Calogero model with complex coupling
• Reference frames, superselection rules, and quantum information
• Black Holes and Superconformal Mechanics
• REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL
• The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects
• Regularization of kepler's problem and the averaging method on a manifold
• The Capture of Negative Mesotrons in Matter
• Singular Potentials
• Horizon states for AdS black holes
• Near-horizon conformal structure of black holes
• Further evidence for the conformal structure of a Schwarzschild black hole in an algebraic approach

This page was built for publication: Classical and quantum dynamics in an inverse square potential