Back to Search Start Over

Quantum Mechanics of the Extended Snyder Model.

Authors :
Meljanac, Stjepan
Mignemi, Salvatore
Source :
Symmetry (20738994). Jul2023, Vol. 15 Issue 7, p1373. 10p.
Publication Year :
2023

Abstract

We investigate a quantum mechanical harmonic oscillator based on the extended Snyder model. This realization of the Snyder model is constructed as a quantum phase space generated by D spatial coordinates and D (D − 1) / 2 tensorial degrees of freedom, together with their conjugated momenta. The coordinates obey nontrivial commutation relations and generate a noncommutative geometry, which admits nicer properties than the usual realization of the model, in particular giving rise to an associative star product. The spectrum of the harmonic oscillator is studied through the introduction of creation and annihilation operators. Some physical consequences of the introduction of the additional degrees of freedom are discussed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
7
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
169700177
Full Text :
https://doi.org/10.3390/sym15071373