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   Articles with "separation variables" as a keyword



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Separation of variables, Lax-integrable systems and gl(2)⊗gl(2)-valued classical r-matrices

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recommendations! Published in 2020 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2020.103733

Abstract: Abstract In the present paper we consider a problem of separation of variables for Lax-integrable hamiltonian system generated by general non-skew-symmetric g l ( 2 ) ⊗ g l ( 2 ) -valued classical r… read more here.

Keywords: valued classical; integrable systems; separation variables; variables lax ... See more keywords

Separation of variables for higher rank integrable models: review of recent progress

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recommendations! Published in 2025 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ade103

Abstract: Separation of variables (SoVs) is a powerful method expected to be applicable for a wide range of quantum integrable systems, from models in condensed matter physics to gauge and string theories. Yet its full implementation… read more here.

Keywords: separation variables; progress; physics; higher rank ... See more keywords

Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane

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recommendations! Published in 2019 at "Regular and Chaotic Dynamics"

DOI: 10.1134/s1560354719020035

Abstract: We discuss a non-Hamiltonian vector field appearing in considering the partial motion of a Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is… read more here.

Keywords: plane; separation variables; ball; chaplygin ball ... See more keywords

Deep-learning application to the separation of variables method for light scattering by spheroids: optimal number of expansion terms and improved prolate radial spheroidal function calculation.

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recommendations! Published in 2025 at "Optics express"

DOI: 10.1364/oe.568481

Abstract: The spheroid model provides a first-order approximation to account for the effect of particle nonsphericity on light scattering. The separation of variables method (SVM) in the spheroidal coordinate system was recently employed to accurately compute… read more here.

Keywords: deep learning; light scattering; separation variables; variables method ... See more keywords