234 citations · 536 across the 22 of their papers we have counts for
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math-ph2015★ 5 cited
Polynomial Heisenberg algebras and Painlevé equations
David Bermudez
We study first the supersymmetric quantum mechanics (SUSY QM), specially the cases of the harmonic and radial oscillators. Then, we obtain a new Wronskian formula for the confluent…
math-ph2015★ 13 cited
Solutions to the Painlevé V equation through supersymmetric quantum mechanics
David Bermudez, David J. Fernández C., Javier Negro
In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order non-linear o…
math-ph2015★ 23 cited
Wronskian differential formula for k-confluent SUSY QM
David Bermudez
The confluent SUSY QM usually involves a second-order SUSY transformation where the two factorization energies converge to a single value. In order to achieve it, one generally nee…