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20102025
most citedSpectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation

4 citations · 15 across the 21 of their papers we have counts for

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math-ph2017★ 1 cited

Computation of unitary group for the Rashba spin-orbit coupled operator, with application to point-interactions

Rytis Jursenas

We compute an explicit formula for the one-parameter unitary group of the single-particle Rashba spin-orbit coupled operator in dimension three. As an application, we derive the fo…

math-ph2016

Direct integral description of angulon

Rytis Jursenas

We propose a representation of angulon in which the angulon operator is decomposable relative to the field of Hilbert spaces over the probability measure space, and the probability…

math-ph2016

A model for reducing the angulon operator

Rytis Jursenas, Mikhail Lemeshko

We propose a mathematical model for the recently introduced angulon. In our formulation, the angulon operator is decomposable relative to the field of Hilbert spaces over the proba…

math-ph2014

Series expansion for the Fourier transform of a rational function in three dimensions

Rytis Jursenas

In Rashba-Dresselhaus spin-orbit coupled systems, the calculation of Green's function requires the knowledge of the inverse Fourier transform of rational function , wher…

math-ph2013★ 2 cited

Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential

Rytis Jursenas, Julius Ruseckas

We solve the bound state problem for the Hamiltonian with the spin-orbit and the Raman coupling included. The Hamiltonian is perturbed by a one-dimensional short-range potential V…

math-ph2010

The transformation of irreducible tensor operators under spherical functions

R. Jursenas, G. Merkelis

The irreducible tensor operators and their tensor products employing Racah algebra are studied. Transformation procedure of the coordinate system operators act on are introduced. T…