TRAINING PHYSICAL-PROPERTIES OF QUANTUM-SYSTEMS

The strategy of training (an efficient search in a huge parameter spac e) quantum systems to fulfill some nontrivial physical properties is a ddressed, as opposed to the usual approach of examining physical prope rties of a given Hamiltonian. The training process is exemplified by t wo-and three-dimensional Anderson models. Results indicate that small changes in the parameter space affect dramatically the statistical pro perties of the level spacing of three-dimensional systems in the insul ating regime. Other applications of the training strategy are also bri efly discussed.