Laser amplifier system comprising a solid body thermally coupled to a heat sink and having a laser-active volume region, in which there is arranged in at least one area at least one laser-active quantum structure composed of a semiconductor material extending at least over partial regions of the area, a pump radiation source generating a pump radiation field and serving for optically pumping the laser-active volume region, and an amplifier optical unit defining a laser amplifier radiation field permeating the laser-active volume region, characterized in that - the laser-active volume region has a plurality of quantum structures lying at a distance from one another in a stacking direction, but in areas arranged one above another, - the quantum structures are separated from one another by interlayers lying between them, wherein the interlayers are constructed exclusively from surrounding structure, - the absorption of pump radiation from the pump radiation field in the laser-active quantum structure is greater than the absorption of pump radiation by the surrounding structure adjoining the quantum structure, and the absorption of pump radiation from the pump radiation field in the quantum structures is greater than the absorption of pump radiation by the interlayers, such that the pump radiation is predominantly absorbed in the quantum structures themselves, - the pump radiation field proceeds such that it multiply permeates the quantum structure, - a plurality of quantum structures (30 1 to 30 N) arranged alongside one another are provided in each area, - quantum structures (30 1 to 30 N) arranged successively in a direction transversely with respect to the stacking direction are optically separated from one another, - the quantum structures (30 1 to 30 N) are separated from one another by barriers composed of optically absorbent materials, wherein the absorbent materials absorb principally in the wavelength range of the laser amplifier radiation field of the quantum structures, and - the pump radiation field simultaneously permeates non-continuous partial area regions of the area in which the quantum structures (30 1 to 30 N) are arranged, and optically pumps the quantum structures (30 1 to 30 N) present within said partial area regions. - the laser-active volume region has a plurality of quantum structures lying at a distance from one another in a stacking direction, but in areas arranged one above another, - the quantum structures are separated from one another by interlayers lying between them, wherein the interlayers are constructed exclusively from surrounding structure, - the absorption of pump radiation from the pump radiation field in the laser-active quantum structure is greater than the absorption of pump radiation by the surrounding structure adjoining the quantum structure, and the absorption of pump radiation from the pump radiation field in the quantum structures is greater than the absorption of pump radiation by the interlayers, such that the pump radiation is predominantly absorbed in the quantum structures themselves, - the pump radiation field proceeds such that it multiply permeates the quantum structure, - a plurality of quantum structures (30 1 to 30 N) arranged alongside one another are provided in each area, - quantum structures (30 1 to 30 N) arranged successively in a direction transversely with respect to the stacking direction are optically separated from one another, - the quantum structures (30 1 to 30 N) are separated from one another by barriers composed of optically absorbent materials, wherein the absorbent materials absorb principally in the wavelength range of the laser amplifier radiation field of the quantum structures, and - the pump radiation field simultaneously permeates non-continuous partial area regions of the area in which the quantum structures (30 1 to 30 N) are arranged, and optically pumps the quantum structures (30 1 to 30 N) present within said partial area regions.