Fermions and Bosons in a Double-Well Potential

Abstract

The boson-fermion model, describing a mixture of fermions and bosons is analyzed on a small, two-site lattice. The model includes all the on-site Coulomb-type interactions between bosons, between fermions and between fermions and bosons. Additionally, the Hamiltonian includes a term that describes a conversion of a pair of opposite-spin fermions into a boson and vice versa. We show how this conversion depends on the model parameters.

The Manifestation of Molecular Double-Well Structure in NO Photoelectron Spectrum

“…As a common model in quantum systems, the doublewell structure has received much attention both theoretically and experimentally [1][2][3][4][5][6][7]. The influence of relevant parameters, e.g., relative depth and width of the double-well structure, on the wave function and energy levels of the related systems has been well investigated [8,9].…”