Three-body closed chain of interactive (an) harmonic oscillators and the algebra
AV Turbiner, W Miller… - Journal of Physics A …, 2020 - iopscience.iop.org
In this work we study 2-and 3-body oscillators with quadratic and sextic pairwise potentials
which depend on relative distances,, between particles. The two-body harmonic oscillator is …
which depend on relative distances,, between particles. The two-body harmonic oscillator is …
Four-body (an) harmonic oscillator in d-dimensional space: S-states,(quasi)-exact-solvability, hidden algebra sl (7)
AM Escobar-Ruiz, AV Turbiner, W Miller - Journal of Mathematical …, 2021 - pubs.aip.org
As a generalization and extension of our previous paper [Turbiner et al., J. Phys. A: Math.
Theor. 53, 055302 (2020)], in this work, we study a quantum four-body system in R d (d≥ 3) …
Theor. 53, 055302 (2020)], in this work, we study a quantum four-body system in R d (d≥ 3) …
On a center-of-mass system of coordinates for symmetric classical and quantum many-body problems
É Amorim - Journal of Mathematical Physics, 2019 - pubs.aip.org
In the context of classical or quantum many-body problems involving identical bodies, a
linear change of coordinates can be constructed with the properties that it includes the …
linear change of coordinates can be constructed with the properties that it includes the …
Two problems in mathematical physics
ÉF De Amorim - 2021 - rucore.libraries.rutgers.edu
In chapter 1, a rigorous proof is presented of the existence of the static, spherically
symmetric spacetime that is the solution of the Einstein field equations coupled with an …
symmetric spacetime that is the solution of the Einstein field equations coupled with an …