activity
20042026
most citedQuantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability

73 citations · 677 across the 78 of their papers we have counts for

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Showing 2010 · math-phShow all

6 papers · 2 filters

math-ph2010★ 5 cited

New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces

Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2

A generalized version of Bertrand's theorem on spherically symmetric curved spaces is presented. This result is based on the classification of (3+1)-dimensional (Lorentzian) Bertra…

math-ph2010★ 14 cited

On two superintegrable nonlinear oscillators in N dimensions

Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2

We consider the classical superintegrable Hamiltonian system given by , where U is known to be the "intrinsic" oscillator potential o…

math-ph2010★ 23 cited

On the level density of spin chains of Haldane--Shastry type

A. Enciso, F. Finkel, A. Gonzalez-Lopez

We provide a rigorous proof of the fact that the level density of all su(m) spin chains of Haldane-Shastry type associated with the A_{N-1} root system approaches a Gaussian distri…

math-ph2010

Spinor Green's functions via spherical means on products of space forms

Alberto Enciso, Niky Kamran

We explicitly compute the Green's function of the spinor Klein-Gordon equation on the Riemannian and Lorentzian manifolds of the form , with each factor…

math-ph2010

Knots and links in steady solutions of the Euler equation

Alberto Enciso, Daniel Peralta-Salas

Given any possibly unbounded, locally finite link, we show that there exists a smooth diffeomorphism transforming this link into a set of stream (or vortex) lines of a vector field…

math-ph2010

Global causal propagator for the Klein-Gordon equation on a class of supersymmetric AdS backgrounds

Alberto Enciso, Niky Kamran

We analyze the Cauchy problem for the Klein-Gordon equation on the type IIB supergravity backgrounds , where is any of the Sasaki-Einstein 5-manifol…