Abstract : This paper discusses a model of T lymphocytes and of their life-cycle which explains numerous experimental results that were generally considered as mutually incoherent. The interaction between a T Cell Receptor (TCR) and a peptide-Major Histocompatibility Complex (pMHC) is assumed to be based on a recognition mechanism, associated with negative thymus selection, and a non-recognition mechanism, associated with positive thymus selection. Each of these mechanisms is modelled using three quantum wells and transitions between these quantum wells naturally stimulated by the thermal electric field. Stimulation of the transitions with artificial electromagnetic waves in addition to the thermal background determines experimentally observed effects. The model is confronted to experimental results concerning in vivo or in vitro inhibition or stimulation of T lymphocytes by various types of waves, increased or decreased cancer growth rates, auto-immune effects and multi-generational studies on rats, and therapies including hyperthermia, the Lakhovsky "multiple waves oscillator" and the Priore systems.