231 citations · 3.1k across the 142 of their papers we have counts for
5 papers · 1 filter
The Coulomb potential in quantum mechanics revisited
A. A. Othman, M. de Montigny, F. Marsiglio
The procedure commonly used in textbooks for determining the eigenvalues and eigenstates for a particle in an attractive Coulomb potential is not symmetric in the way the boundary…
A systematic study of the superconducting critical temperature in two and three dimensional tight-binding models: a possible scenario for superconducting HS ?
Thiago X. R. Souza, F. Marsiglio
Ever since BCS theory was first formulated it was recognized that a large electronic density of states at the Fermi level was beneficial to enhancing . The A15 compounds and t…
Two and three particles interacting in a one-dimensional trap
MengXing Na, Frank Marsiglio
We outline a procedure for using matrix mechanics to compute energy eigenvalues and eigenstates for two and three interacting particles in a confining trap, in one dimension. Such…
The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model
Carl J. Chandler, Christian Prosko, F. Marsiglio
Allowing a single electron to hop to next-nearest neighbours (NNN) in addition to the closest atomic sites in the Holstein model, a modified Trugman method is applied to exactly ca…
Calculation of 2D electronic band structure using matrix mechanics
R. L. Pavelich, F. Marsiglio
We extend previous work applying elementary matrix mechanics to one-dimensional periodic arrays (to generate energy bands) to two-dimensional arrays. We generate band structures fo…