Deformed Heisenberg algebra: origin of q-calculus
| dc.creator | Swamy, P. Narayana | |
| dc.date | 2003-05-06 | |
| dc.date.accessioned | 2026-07-07T06:06:43Z | |
| dc.date.available | 2026-07-07T06:06:43Z | |
| dc.description | The intimate connection between q-deformed Heisenberg uncertainty relation and the Jackson derivative based on q-basic numbers has been noted in the literature. The purpose of this work is to establish this connection in a clear and self-consistent formulation and to show explicitly how the Jackson derivative arises naturally. We utilize a holomorphic representation to arrive at the correct algebra to describe q-deformed bosons. We investigate the algebra of q-fermions and point out how different it is from the theory of q-bosons. We show that the holomorphic representation for q-fermions is indeed feasible in the framework of the theory of generalized fermions. We also examine several different q-algebras in the context of the modified Heisenberg equation of motion. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0305032 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0305032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91074 | |
| dc.subject | Quantum Physics | |
| dc.title | Deformed Heisenberg algebra: origin of q-calculus | |
| dc.type | text |