231 citations · 3.1k across the 142 of their papers we have counts for
9 papers · 1 filter
Why is the ground state electron configuration for Lithium ?
W. S. Stacey, F. Marsiglio
The electronic ground state for Lithium is , and not . The traditional argument for why this is so is based on a screening argument that claims that the electr…
The Spectral Decomposition of the Helium atom two-electron configuration in terms of Hydrogenic orbitals
J. Hutchinson, M. Baker, F. Marsiglio
The two electron configuration in the Helium atom is known to very high precision. Yet, we tend to refer to this configuration as a singlet, where the des…
Solving for three-dimensional central potentials using matrix mechanics
B. A. Jugdutt, F. Marsiglio
Matrix mechanics is an important component of an undergraduate education in quantum mechanics. In this paper we present several examples of the use of matrix mechanics to solve for…
The double well potential in quantum mechanics: a simple, numerically exact formulation
V. Jelic, F. Marsiglio
The double well potential is arguably one of the most important potentials in quantum mechanics, because the solution contains the notion of a state as a linear superposition of `c…
The polaron-like nature of an electron coupled to phonons
Zhou Li, F. Marsiglio
When an electron interacts with phonons, the electron can exhibit either free electron-like or polaron-like properties. The latter tends to occur for very strong coupling, and resu…
Model of the electron-phonon interaction and optical conductivity of BaKBiO superconductors
R. Nourafkan, F. Marsiglio, G. Kotliar
We investigate the physical properties of the BaKBiO compounds with a focus on the optical properties. Results from the simple Holstein model, describing a single b…
Optical conductivity for a dimer in the Dynamic Hubbard model
G. H. Bach, F. Marsiglio
The Dynamic Hubbard Model represents the physics of a multi-band Hubbard model by using a pseudo-spin degree of freedom to dynamically modify the on-site Coulomb interaction. Here…
The BCS Pairing Instability in the Thermodynamic Limit
F. Marsiglio, K. S. D. Beach, R. J. Gooding
The superconducting pairing instability---as determined by a divergence of the two-particle susceptibility---is obtained in the mean field (BCS) approximation in the thermodynamic…
Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
Zhou Li, L. Covaci, F. Marsiglio
We utilize an exact variational numerical procedure to calculate the ground state properties of a polaron in the presence of Rashba and linear Dresselhaus spin-orbit coupling. We f…