56 citations · 78 across the 6 of their papers we have counts for
6 papers
Quantum oscillator as 1D anyon
Ye. Hakobyan, V. Ter-Antonyan
It is shown that in one spatial dimension the quantum oscillator is dual to the charged particle situated in the field described by the superposition of Coulomb and Calogero-Suther…
Superintegrability on the two dimensional hyperboloid II
E. G. Kalnins, W. Miller, Ye. M. Hakobyan +1
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate system…
On Interbasis Expansion for Isotropic Oscillator on Two-Dimensional Sphere
Ye. M. Hakobyan, G. S. Pogosyan
In this article we analyze the isotropic oscillator system on the two-dimensional sphere in the spherical systems of coordinates. The expansion coefficients for transitions between…
On a Generalized Oscillator: Invariance Algebra and Interbasis Expansions
Y. M. Hakobyan, M. Kibler, G. S. Pogosyan +1
This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian…
Isotropic oscillator in the space of constant positive curvature. Interbasis expansions
Ye. M. Hakobyan, G. S. Pogosyan, A. N. Sissakian +1
The Schrödinger equation is thoroughly analysed for the isotropic oscillator in the three-dimensional space of constant positive curvature in the spherical and cylindrical systems…
Finite size corrections on the boundary between the spin-glass and the ferromagnetic phases of Derrida's model
Y. M. Hakobyan, D. B. Sahakyan, M. R. Daj
The boundary line between the ferromagnetic and the spin-glass phases was investigated. Finite size corrections to the free energy and magnetization were calculated. The situation…