Hilbert Space of Supersymmetric Quantum Systems

摘要

It is shown that in some quantum-mechanical models the consequences of supersymmetry take place only provided certain additional conditions are imposed on the wave functions. If this fact is not taken into account one may encounter paradoxes. The question of the fermion condensate in the (reduced) sigma model and supersymmetric gauge theories are discussed, in particular. 13 refs. (Atomindex citation 19:029440)