34 citations · 136 across the 13 of their papers we have counts for
7 papers · 1 filter
Four-body (an)harmonic oscillator in -dimensional space: -states, (quasi)-exact-solvability, hidden algebra
M. A. Escobar-Ruiz, Alexander V. Turbiner, Willard Miller
As a generalization and extension of our previous paper {\it J. Phys. A: Math. Theor. 53 055302} \cite{AME2020}, in this work we study a quantum 4-body system in ($d…
From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics
Alexander V Turbiner, Willard Miller, M. Adrian Escobar-Ruiz
It is shown that planar quantum dynamics can be related to 3-body quantum dynamics in the space of relative motion with a special class of potentials. As an important special case…
Four-body problem in d-dimensional space: ground state, (quasi)-exact-solvability. IV
M. A. Escobar-Ruiz, Willard Miller, Alexander V. Turbiner
Due to its great importance for applications, we generalize and extend the approach of our previous papers to study aspects of the quantum and classical dynamics of a -body syst…
Three charges on a plane in a magnetic field: Special trajectories
M. A. Escobar-Ruiz, C. A. Escobar
As a generalization and extension of JMP 54 (2013) 022901, the classical dynamics of three non-relativistic Coulomb charges , and on the plane…
Three-body problem in -dimensional space: ground state, (quasi)-exact-solvability
Alexander V Turbiner, Willard Miller, M. A. Escobar-Ruiz
As a straightforward generalization and extension of our previous paper, J. Phys. A50 (2017) 215201 we study aspects of the quantum and classical dynamics of a -body system with…
Separation equations for 2D superintegrable systems on constant curvature spaces
M. A. Escobar-Ruiz, E. G. Kalnins, W. Miller
Second-order conformal quantum superintegrable systems in 2 dimensions are Laplace equations on a manifold with an added scalar potential and independent 2nd order conformal sy…
Conformal Laplace superintegrable systems in 2D: polynomial invariant subspaces
M. A. Escobar-Ruiz, Willard Miller
2nd-order conformal superintegrable systems in dimensions are Laplace equations on a manifold with an added scalar potential and independent 2nd order conformal symmet…