172 citations · 3.5k across the 115 of their papers we have counts for
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Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle
Andrey Alcala, Mikhail S. Plyushchay
We study the one-dimensional linear-potential system as an affine extension of the conformal triangle formed by the free particle, harmonic oscillator (HO) and inverted harmonic os…
Rational deformations of conformal mechanics
José F. Cariñena, Luis Inzunza, Mikhail S. Plyushchay
We study deformations of the quantum conformal mechanics of De Alfaro-Fubini-Furlan with rational additional potential term generated by applying the generalized Darboux-Crum-Krein…
ABC of ladder operators for rationally extended quantum harmonic oscillator systems
José F. Cariñena, Mikhail S. Plyushchay
The problem of construction of ladder operators for rationally extended quantum harmonic oscillator (REQHO) systems of a general form is investigated in the light of existence of d…
Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
Adrian Arancibia, Juan Mateos Guilarte, Mikhail S. Plyushchay
We investigate a peculiar supersymmetry of the pairs of reflectionless quantum mechanical systems described by n-soliton potentials of a general form that depends on n scaling and…
Majorana equation and exotics: higher derivative models, anyons and noncommutative geometry
Mikhail S. Plyushchay
In 1932 Ettore Majorana proposed an infinite-component relativistic wave equation for particles of arbitrary integer and half-integer spin. In the late 80s and early 90s it was fou…