Gelfand–Tsetlin bases for spherical monogenics in dimension 3 | Zendy

S. Bock | Zendy; Klaus Gürlebeck | Zendy; Roman Lávička | Zendy; Vladimı́r Souček | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Gelfand–Tsetlin bases for spherical monogenics in dimension 3

Author(s) -

S. Bock,

Klaus Gürlebeck,

Roman Lávička,

Vladimı́r Souček

Publication year - 2012

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/708

Subject(s) - mathematics , dimension (graph theory) , basis (linear algebra) , pure mathematics , homogeneous , algebra over a field , cauchy distribution , property (philosophy) , orthogonal basis , mathematical analysis , combinatorics , geometry , quantum mechanics , philosophy , physics , epistemology

The main aim of this paper is to recall the notion of the Gelfand-Tsetlin bases (GT bases for short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical monogenics (i.e., homogeneous solutions of the Dirac or the generalized Cauchy-Riemann equation, respectively) in dimension 3. In the paper, using the GT construction, we obtain explicit orthogonal bases for spherical monogenics in dimension 3 having the Appell property and we compare them with those constructed by the first and the second author recently (by a direct analytic approach).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research