42 citations · 1.1k across the 92 of their papers we have counts for
27 papers · 1 filter
Perturbative results for fractional quantum mechanics
Claude Semay, Clara Tourbez, Loïc Keszeli
The fractional Schrödinger equation is studied with a kinetic energy that slightly deviates from the usual nonrelativistic form. The harmonic oscillator and the Kepler problem are…
Upper bounds for critical coupling constants for binding some quantum many-body systems
Clara Tourbez, Claude Semay, Cyrille Chevalier
When particles interact via two-body short-range central potential wells, binding can occur for some critical values of the coupling constants. Using the envelope theory, upper bou…
Tests of the envelope theory for three-body forces
Lorenzo Cimino, Clara Tourbez, Cyrille Chevalier +2
Many-body forces, and specially three-body forces, are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. As their precise structure is…
The envelope theory as a pedagogical tool
Claude Semay, Maud Balcaen
The envelope theory is a reliable and easy to implement method to solve time independent Schrödinger-like equations (eigenvalues and eigenvectors). It is particularly useful to sol…
Improvement of the Envelope Theory for Systems with Different Particles
Cyrille Chevalier, Cintia T. Willemyns, Lorenzo Cimino +1
The envelope theory is a method to compute approximate eigensolutions of quantum -body Hamiltonians with a quite general structure in dimensions. The advantages of the metho…
Some specific solutions to the translation-invariant -body harmonic oscillator Hamiltonian
Cintia T. Willemyns, Claude Semay
The resolution of the Schrödinger equation for the translation-invariant -body harmonic oscillator Hamiltonian in dimensions with one-body and two-body interactions is perfo…