Abstract
In the method of q-Borel quantization, quantum observables - that is, self-adjoint operators in a suitably chosen Hilbert space - can be assigned a particular set of q-deformed position and momentum observables. In this pattern, the momentum operator appears to be a q-difference operator - and not a differential operator - so that the result is useful in modeling quantum mechanics over discrete configuration spaces. q-Borel quantization was introduced for special cases in which classical observables are modeled over the configuration space S. Here, a generalization of the formalism to n-dimensional torus T is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1842-1846 |
| Number of pages | 5 |
| Journal | Physics of Atomic Nuclei |
| Volume | 61 |
| Issue number | 11 |
| Publication status | Published - 1 Nov 1998 |