Classical and quantum motion in an inverse square potential

DOI10.1016/J.PHYSLETA.2008.11.054zbMath1227.81153OpenAlexW2045654391MaRDI QIDQ649653

C. Cisneros, M. Ávila-Aoki, A. L. Salas-Brito, H. N. Núñez-Yépez, Rodolfo P. Martínez-y-Romero

Publication date: 5 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.11.054

zbMATH Keywords

inverse square potentialsuperselection rulefree motion on a hyperbola

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Axiomatic quantum field theory; operator algebras (81T05) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (7)

Comment on “The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects” [J. Math. Phys. 54, 053509 (2013)] ⋮ Classical and quantum dynamics in an inverse square potential ⋮ Critical electric dipole moment in one dimension ⋮ The zero-mass spinless Salpeter equation with a regularized inverse square potential ⋮ The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects ⋮ A new version of the Aharonov-Bohm effect ⋮ On the one-dimensional Coulomb problem

Cites Work

• Unnamed Item
• Quantum tunneling and caustics under inverse square potential
• Reference frames, superselection rules, and quantum information
• Two singular potentials: The space-splitting effect
• Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics
• Effective theories of scattering with an attractive inverse-square potential and the three-body problem
• The functional–analytic versus the functional–integral approach to quantum Hamiltonians: The one-dimensional hydrogen atoma)
• REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL
• Singular Potentials
• The Intrinsic Parity of Elementary Particles
• Dimensional transmutation and dimensional regularization in quantum mechanics. I: General theory

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