Artigo
The Fermi pseudo-potential in one dimension
Fecha
2004-11-05Registro en:
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 37, n. 44, p. 10653-10663, 2004.
0305-4470
10.1088/0305-4470/37/44/013
WOS:000225511600020
Autor
Universidade de São Paulo (USP)
McMaster Univ
Universidade Estadual Paulista (Unesp)
Kyoto Sangyo Univ
Resumen
Wu and Yu recently examined point interactions in one dimension in the form of the Fermi pseudo-potential. on the other hand there are point interactions in the form of self-adjoint extensions (SAEs) of the kinetic energy operator. We examine the relationship between the point interactions in these two forms in the one-channel and two-channel cases. In the one-channel case the pseudo-potential leads to the standard three-parameter family of SAEs. In the two-channel case the pseudo-potential furnishes a ten-parameter family of SAEs.