73 citations · 677 across the 78 of their papers we have counts for
10 papers · 1 filter
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…
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…
Submanifolds that are level sets of solutions to a second-order elliptic PDE
Alberto Enciso, Daniel Peralta-Salas
Motivated by a question of Rubel, we consider the problem of characterizing which noncompact hypersurfaces in $\RR^n$ can be regular level sets of a harmonic function modulo a $C^\…
A new exactly solvable quantum model in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
An N-dimensional position-dependent mass Hamiltonian (depending on a parameter λ) formed by a curved kinetic term and an intrinsic oscillator potential is considered. It is shown t…
Critical points of Green's functions on complete manifolds
Alberto Enciso, Daniel Peralta-Salas
We prove that the number of critical points of a Li-Tam Green's function on a complete open Riemannian surface of finite type admits a topological upper bound, given by the first B…
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…