Open AccessOn the Relativistic Quantum Mechanics of a Particle in Space with Minimal Length
Author(s) -
Ch. M. Scherbakov
Publication year - 2012
Publication title -
ukrainian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 17
eISSN - 2071-0194
pISSN - 2071-0186
DOI - 10.15407/ujpe57.9.942
Subject(s) - noncommutative geometry , physics , quantum mechanics , rotational symmetry , relativistic quantum mechanics , space (punctuation) , symmetry (geometry) , quantum , noncommutative quantum field theory , commutation , classical mechanics , mathematical physics , theoretical physics , quantum dissipation , mathematics , mechanics , geometry , linguistics , philosophy , voltage
A noncommutative space and the deformed Heisenberg algebra [X,P] = iħ{1 – βP2}1/2 are investigated. The quantum mechanical structures underlying this commutation relation are studied. The rotational group symmetry is discussed in detail.