234 citations · 536 across the 22 of their papers we have counts for
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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…
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…
Dialogues about geometry and light
David Bermudez, Jonathan Drori, Ulf Leonhardt
Throughout human history, people have used sight to learn about the world, but only in relatively recent times the science of light has been developed. Egyptians and Mesopotamians…
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…