[en] A measurement place for the production of hot, dense plasmas by the bombardment of matter with intense, high-energetic ion beams, was constructed, erected and taken into operation at the Society for Heavy Ion Research (GSI) in Darmstadt. A focusing system consisting of five quadrupole and one dipole magnet was calculated at the II. Physical Institute of the JLU in Giessen and erected at the high-temperature (HT) measuring place. The ion-optical properties of this system were in the framework of this thesis studied and optimized. Especially connection between the operational mode of the heavy-ion synchrotron SIS, the beam transport to the HT measuring place, and the focusing properties were elaborated. by this it succeeded to produce the calculated circular focusing area with a radius of 145 μm. A new procedure for the determination of the entrance beam parameters and, based on this, an optimization of the adjustment of the beam guiding system was tested. For the study of the interaction of the ion beams with the hot, dense target plasma stopped ions are excellently suited. For the determination of the energy loss and the charge change of such ions a spectrometer was constructed and its component erected. On the base of beam tests at the Z6 measuring place for the spectrometer at the HT measurement place a high-current-pulsed quadrupole doublet was constructed and erected. For the separation of the single charge states two classical dipole magnets in the spectrometer are foreseen