The insulation of the fluidized bed chamber is divided into two parts, where the inner part can have a mechanical load on it, while the outer part has a low thermal conductivity. The latter makes it possible to use cooling gases, instead of water, for cooling the fluidized bed furnace. The cooling gas has no effect on the critical mass to be taken into account in dimensioning the volume of the fluidized bed, and the quantity of fuel and/or breeder material can be increased by about 20 times in the fluidized bed chamber, compared with the water-cooled fluidized bed furnace. For safety reasons, particularly in order to reduce the fire danger if there is a fault, inert gases, for example nitrogen, carbon dioxide etc. are preferred as cooling gases.