3 papers
math-ph2025
Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
Giovanni Felder, Jens Hoppe
We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian…
math-ph2025
Quantum States from Minimal Surfaces
Jens Hoppe
Apart from relating interesting quantum mechanical systems to equations describing a parabolic discrete minimal surface, the quantization of a cubic minimal surface in $\mathbb{R}^…
math-ph2024
Generating self-similar membrane solutions
Jens Hoppe
Several ways to reduce to a first order ODE the non-linear PDE's governing the relativistic motion of an axially symmetric membrane in 4 space time dimensions, as well as examples…