Exact solutions for semirelativistic problems with non-local potentials
Hall, Richard L.
arXiv, 0512079 / Harvested from arXiv
Text on arXiv
It is shown that exact solutions may be found for the energy eigenvalue problem generated by the class of semirelativistic Hamiltonians of the form H = sqrt{m^2+p^2} + hat{V}, where hat{V} is a non-local potential with a separable kernel of the form V(r,r') = - sum_{i=1}^n v_i f_i(r)g_i(r'). Explicit examples in one and three dimensions are discussed, including the Yamaguchi and Gauss potentials. The results are used to obtain lower bounds for the energy of the corresponding N-boson problem, with upper bounds provided by the use of a Gaussian trial function.
Publié le : 2005-12-22
Classification:  Mathematical Physics 
@article{0512079,
     author = {Hall, Richard L.},
     title = {Exact solutions for semirelativistic problems with non-local potentials},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512079}
}

Hall, Richard L. Exact solutions for semirelativistic problems with non-local potentials. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512079/