Name
Abstract | ||
|---|---|---|
Starting with the Heisenberg-Weyl algebra, fundamental to quantum physics, we first show how the ordering of the non-commuting operators intrinsic to that algebra gives rise to generalizations of the classical Stirling Numbers of Combinatorics. These may be expressed in terms of infinite, but row-finite, matrices, which may also be considered as endomorphisms of C[x]. This leads us to consider endomorphisms in more general spaces, and these in turn may be expressed in terms of generalizations of the ladder-operators familiar in physics. |
Year | Venue | Keywords |
|---|---|---|
2010 | DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE | Heisenberg-Weyl Algebra,Transformation of sequences,Generalized Stirling Numbers,Generalized ladder Operators |
DocType | Volume | Issue |
Journal | 12.0 | 2.0 |
ISSN | Citations | PageRank |
1462-7264 | 0 | 0.34 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gérard Henry Edmond Duchamp | 1 | 38 | 16.19 |
| Laurent Poinsot | 2 | 33 | 7.32 |
| Allan I. Solomon | 3 | 11 | 4.15 |
| Karol A. Penson | 4 | 22 | 8.39 |
| Pawel Blasiak | 5 | 10 | 3.67 |
| Andrzej Horzela | 6 | 0 | 0.34 |