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quant-ph2026
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…
quant-ph2025
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…