Perturbation expansions for a class of singular potentials
Saad, Nasser ; Hall, Richard L. ; von Keviczky, Attila B.
arXiv, 0309067 / Harvested from arXiv
Text on arXiv
Harrell's modified perturbation theory [Ann. Phys. 105, 379-406 (1977)] is applied and extended to obtain non-power perturbation expansions for a class of singular Hamiltonians H = -D^2 + x^2 + A/x^2 + lambda/x^alpha, (A\geq 0, alpha > 2), known as generalized spiked harmonic oscillators. The perturbation expansions developed here are valid for small values of the coupling lambda > 0, and they extend the results which Harrell obtained for the spiked harmonic oscillator A = 0. Formulas for the the excited-states are also developed.
Publié le : 2003-09-30
Classification:  Mathematical Physics,  81Q05,  81Q20 
@article{0309067,
     author = {Saad, Nasser and Hall, Richard L. and von Keviczky, Attila B.},
     title = {Perturbation expansions for a class of singular potentials},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309067}
}

Saad, Nasser; Hall, Richard L.; von Keviczky, Attila B. Perturbation expansions for a class of singular potentials. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309067/