Open AccessMatrix elements and classical limit of relativistic particles in infinitely deep potential well
Author(s) -
Liang Mai-Lin,
Fulin Zhang,
Bing Yuan
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3683
Subject(s) - physics , relativistic quantum mechanics , dirac equation , correspondence principle (sociology) , classical limit , relativistic wave equations , mathematical physics , limit (mathematics) , matrix (chemical analysis) , dirac (video compression format) , theory of relativity , spin (aerodynamics) , special relativity , classical mechanics , quantum mechanics , momentum (technical analysis) , quantum , mathematical analysis , mathematics , quantum dynamics , materials science , composite material , economics , neutrino , market economy , thermodynamics , finance
For relativistic particles with spin-0 (satisfying the Klein-Gordon equation) and spin-1/2 (satisfying the Dirac equation) in infinitely deep potential well, matrix elements for the coordinate, momentum and the velocity operators are calculated. In the limit of large quantum numbers, these matrix elements give the corresponding classical quantities (nowbeing related quantities in special relativity) and satisfy exact classical relations. These results show that the Heisenberg correspondence principle is applicable to such relativistic systems.