Perurbation expansions for the spiked harmonic oscillator and related series involving the gamma function
Hall, Richard L. ; Saad, Nasser
arXiv, 0006024 / Harvested from arXiv
Text on arXiv
We study weak-coupling perturbation expansions for the ground-state energy of the Hamiltonian with the generalized spiked harmonic oscillator potential V(x) = Bx^2 + A/x^2 + lambda/x^alpha, and also for the bottoms of the angular momentum subspaces labelled by ell = 0,1,2 ..., in N-dimensions corresponding to the spiked harmonic oscillator potential: V(x) = x^2 + lambda/x^alpha, where alpha is a real positive parameter. A method of Znojil is then applied to obtain closed form expressions for the sums of some infinite series whose terms involve ratios and products of gamma functions.
Publié le : 2000-06-27
Classification:  Mathematical Physics 
@article{0006024,
     author = {Hall, Richard L. and Saad, Nasser},
     title = {Perurbation expansions for the spiked harmonic oscillator and related
  series involving the gamma function},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006024}
}

Hall, Richard L.; Saad, Nasser. Perurbation expansions for the spiked harmonic oscillator and related
  series involving the gamma function. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006024/