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Quantum States from Minimal Surfaces

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arxiv 2502.18422 v1 pith:BCVY67AL submitted 2025-02-25 math-ph math.MP

Jens Hoppe This is my paper · ORCID
classification math-phmath.MP
keywords minimalquantumsurfaceapartconsideredcubicdescribingdiscrete
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abstract

Apart from relating interesting quantum mechanical systems to equations describing a parabolic discrete minimal surface, the quantization of a cubic minimal surface in $\mathbb{R}^4$ is considered.

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Cited by 1 Pith paper

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  1. Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation

    nlin.SI 2026-02 conditional novelty 6.0 of 10

    Bäcklund transformations of the fifth Painlevé equation yield four discrete Painlevé equations, one new with ternary symmetry, with rational solution hierarchies in terms of generalised Laguerre and Umemura polynomials.

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