| Title | A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative |
| Authors | Sicong Jing, Sergei Silvestrov |
| Alternative Location | http://dx.doi.org/10.1088/0..., Restricted Access |
| Publication | Journal of physics. A, mathematical and general |
| Year | 2005 |
| Volume | 38 |
| Issue | 8 |
| Pages | 1711 - 1721 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | IOP Publishing |
| Abstract English | We propose a new kind of two-parameter (p, q)-deformed Heisenberg and parabose algebra, which reduces to the Heisenberg algebra for the p = 1 case and to parabose algebra for q = -1 case. Corresponding to the two-parameter deformed oscillator, we also introduce a new kind of (p, q)-deformed derivative which relates to the ordinary derivative and q-deformed derivative in an explicit manner. We study the structure of Fock-like space of the new (p, q)-deformed oscillators and derive a formal solution for the eigenvalue equation of the Hamiltonian. |
| ISBN/ISSN/Other | ISSN: 0305-4470 |
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