A Perturbative Approach to the Relativistic Harmonic Oscillator
Guerrero, J. ; Aldaya, V.
arXiv, 9802010 / Harvested from arXiv
Text on arXiv
A quantum realization of the Relativistic Harmonic Oscillator is realized in terms of the spatial variable $x$ and ${\d\over \d x}$ (the minimal canonical representation). The eigenstates of the Hamiltonian operator are found (at lower order) by using a perturbation expansion in the constant $c^{-1}$. Unlike the Foldy-Wouthuysen transformed version of the relativistic hydrogen atom, conventional perturbation theory cannot be applied and a perturbation of the scalar product itself is required.
Publié le : 1998-02-04
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9802010,
     author = {Guerrero, J. and Aldaya, V.},
     title = {A Perturbative Approach to the Relativistic Harmonic Oscillator},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802010}
}

Guerrero, J.; Aldaya, V. A Perturbative Approach to the Relativistic Harmonic Oscillator. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802010/