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20012018
most citedPolynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations

16 citations · 47 across the 10 of their papers we have counts for

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10 papers

physics.chem-ph2018★ 1 cited

On rotational-vibrational spectrum of diatomic beryllium molecule

A. A. Gusev, O. Chuluunbaatar, S. I. Vinitsky +7

The eigenvalue problem for second-order ordinary differential equation (SOODE) in a finite interval with the boundary conditions of the first, second and third kind is formulated.…

nucl-th2018★ 4 cited

On generation of the Bargmann-Moshinsky basis of SU(3) group

S. Vinitsky, C. Burdik, A. Gusev +4

An efficient procedure of orthonormalisation of the Bargmann-Moshinsky (BM) basis is examined using analytical formulas of the overlap integrals of the BM basis. Calculations of co…

nucl-th2013

Symbolic-numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters Through Repulsive Barriers

Sergue Vinitsky, Alexander Gusev, Ochbadrakh Chuluunbaatar +4

A model for quantum tunnelling of a cluster comprising A identical particles, coupled by oscillator-type potential, through short-range repulsive potential barriers is introduced f…

physics.comp-ph2013★ 3 cited

Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions

Alexander Gusev, Sergue Vinitsky, Ochbadrakh Chuluunbaatar +5

The quantum model of a cluster, consisting of A identical particles, coupled by the internal pair interactions and affected by the external field of a target, is considered. A symb…

cond-mat.mes-hall2011★ 13 cited

Adiabatic description of nonspherical quantum dot models

A. A. Gusev, O. Chuluunbaatar, S. I. Vinitsky +6

Within the effective mass approximation an adiabatic description of spheroidal and dumbbell quantum dot models in the regime of strong dimensional quantization is presented using t…

physics.geo-ph2008★ 1 cited

Stochastic self-similarity of envelopes of high-frequency teleseismic P-waves from large earthquakes suggests fractal pattern for earthquake rupture

A. A. Gusev

High-frequency (HF) seismic radiation of large earthquakes is approximately represented by P wave trains recorded at teleseismic distances. Observed envelopes of such signals look…