4 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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}^…
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…
Discrete Minimal Surface Algebras
Joakim Arnlind, Jens Hoppe
We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in m…