| Автор | Charles F Dunkl |
| Дата выпуска | 1999-11-19 |
| dc.description | The hyperoctahedral group acting on <sup>N</sup> is the Weyl group of type B and is associated with a two-parameter family of differential-difference operators {T<sub>i</sub>:1 i N}. These operators are analogous to partial derivative operators. This paper finds all the polynomials h on <sup>N</sup> which are harmonic, <sub>B</sub>h = 0 and annihilated by T<sub>i</sub> for i>2, where the Laplacian . They are given explicitly in terms of a novel basis of polynomials, defined by generating functions. The harmonic polynomials can be used to find wavefunctions for the quantum many-body spin Calogero model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Planar harmonic polynomials of type B |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/46/308 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 8095 |
| Последняя страница | 8110 |
| Аффилиация | Charles F Dunkl; Department of Mathematics, Kerchof Hall, University of Virginia, Charlottesville, VA 22903, USA |
| Выпуск | 46 |
