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The tetrahexahedric angular Calogero model [PDF]
, 2015 The spherical reduction of the rational Calogero model (of type $A_{n-1}$ and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the $(n{-}2)$-sphere subject to a very particular ...
Correa, Francisco, Lechtenfeld, Olaf
core +3 more sources
Michigan Mathematical Journal, 2008 We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representations from category O of elliptic Cherednik algebras.
Etingof, Pavel, Ma, Xiaoguang
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Elektronenspinresonanz an einzelnen Molekülen
Angewandte Chemie, Volume 137, Issue 37, September 8, 2025.Dieser Minireview gibt einen Überblick über die vier Elektronenspinresonanz‐Techniken mit Einzelmolekül‐Empfindlichkeit, die entweder auf optisch detektierter Magnetresonanz oder Rastersondenmikroskopie basieren. Nach der Einführung der zugrunde liegenden gemeinsamen Konzepte wird ein Überblick über die jeweiligen Arbeitsprinzipien, experimentellen ...
Lisanne Sellies, Jascha Repp
wiley +1 more source
The Hahn superalgebra and supersymmetric Dunkl oscillator models
, 2013 A supersymmetric extension of the Hahn algebra is introduced. This quadratic superalgebra, which we call the Hahn superalgebra, is constructed using the realization provided by the Dunkl oscillator model in the plane, whose Hamiltonian involves ...
Genest, Vincent X. +3 more
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New spin Calogero-Sutherland models related to B_N-type Dunkl operators [PDF]
, 2001 We construct several new families of exactly and quasi-exactly solvable BC_N-type Calogero-Sutherland models with internal degrees of freedom. Our approach is based on the introduction of two new families of Dunkl operators of B_N type which, together ...
A. González-López +42 more
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Markov Processes Related with Dunkl Operators
Advances in Applied Mathematics, 1998 Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
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Basin Research, Volume 37, Issue 5, September–October 2025.We show that including provenance ages in thermochronometry modelling is key to arriving at a single consistent model explaining our complex dataset. With our approach, we reconcile previous studies on the northern Swiss Molasse Basin and contribute to the discussion of exhumation drivers. ABSTRACT Dispersed single‐grain ages are a common phenomenon in
Kevin A. Frings +4 more
wiley +1 more source
Australian continental‐scale heavy mineral patterns track climate, weathering and erosion
Sedimentology, Volume 72, Issue 5, Page 1430-1452, August 2025.ABSTRACT The heavy mineral cargo of sediment is influenced by a complex and variable overprint of climate and environmental processes acting on weathered crystalline basement sources. Here, a continental‐scale heavy mineral compositional dataset of 1315 surface sediment samples, analysed via automated mineralogy, from across Australia is utilized to ...
Maximilian Dröllner +4 more
wiley +1 more source
A Fractional Laplacian and Its Extension Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9840-9852, June 2025.ABSTRACT In this paper, we establish four equivalent characterizations of the fractional Laplacian operator (−‖x‖Δk)σ$$ {\left(-\left\Vert x\right\Vert {\Delta}_k\right)}^{\sigma } $$ with 0<σ<1$$ 0<\sigma <1 $$, in some class of functions on ℝd$$ {\mathbb{R}}^d $$.
Salem Ben Said, Selma Negzaoui
wiley +1 more source