113 citations · 581 across the 35 of their papers we have counts for
35 papers
Quantum three body problems using harmonic oscillator bases with different sizes
B. Silvestre-Brac, R. Bonnaz, C. Semay +1
We propose a new treatment for the quantum three-body problem. It is based on an expansion of the wave function on harmonic oscillator functions with different sizes in the Jacobi…
Duality relations in the auxiliary field method
Bernard Silvestre-Brac, Claude Semay
The eigenenergies of a system of identical particles with a mass are functions of the various radial quantum numbers and orbital quantum numb…
The auxiliary field method in quantum mechanics
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
The auxiliary field method is a new technique to obtain closed formulae for the solutions of eigenequations in quantum mechanics. The idea is to replace a Hamiltonian for which…
Eigenstates with the auxiliary field method
Claude Semay, Bernard Silvestre-Brac
The auxiliary field method is a powerful technique to obtain approximate closed-form energy formulas for eigenequations in quantum mechanics. Very good results can be obtained for…
Semirelativistic Hamiltonians and the auxiliary field method
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form are obtained within the framework of the auxiliary field me…
Auxiliary field method for the square root potential
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
Using the auxiliary field method, we give an analytical expression for the eigenenergies of a system composed of two non-relativistic particles interacting via a potential of type…