Résolution de l'équation de Schrödinger par intégration stochastique du champ magnétique

Summary We solve the heat equation associated with a Schrödinger operator with magnetic field onR ^d using a stochastic integral which involves only the magnetic field and does not use any potential of the field. Then we study a particular case on the torusT ^d to show that our formula is no longer true and that an hypothesis like simple connexity is necessary.