312 citations
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR4 papers
- National University of Ireland, MaynoothIE4 papers
- Université de ToursFR4 papers
- Laboratoire de Physique Subatomique et de CosmologieFR3 papers
- Université Grenoble AlpesFR3 papers
- Université Joseph FourierFR3 papers
- University of LiègeBE3 papers
- Banaras Hindu UniversityIN2 papers
- Dublin Institute For Advanced StudiesIE2 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR2 papers
- Université d'ArtoisFR2 papers
6 papers · 1 filter
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…
Extensions of the auxiliary field method to solve Schrödinger equations
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
It has recently been shown that the auxiliary field method is an interesting tool to compute approximate analytical solutions of the Schrödinger equation. This technique can genera…
Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
B. Silvestre-Brac, C. Semay, F. Buisseret
We propose a new method to obtain approximate solutions for the Schrödinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary…
PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
Y. Brihaye, Ancilla Nininahazwe, Bhabani Prasad Mandal
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whether a matrix differential operator possesses one or several finite dimensional…
Renormalization of the singular attractive potential
Mary Alberg, Michel Bawin, Fabian Brau
We study the radial Schrödinger equation for a particle of mass in the field of a singular attractive potential with particular emphasis on the bound states problem…
Upper and lower bounds on the mean square radius and criteria for occurrence of quantum halo states
Fabian Brau
In the context of non-relativistic quantum mechanics, we obtain several upper and lower limits on the mean square radius applicable to systems composed by two-body bound by a centr…