Pauli ilkesi, temsil kuramı ve bayrak çeşitlemlerinin geometrisi

According to the Pauli exclusion principle, discovered in 1925, no two identicalelectrons may occupy the same quantum state. In terms of electron density matrixthis amounts to an upper bound for its eigenvalues by 1. In 1926, it has beenreplaced by skew-symmetry of a multi-electron wave function. In this thesis wegive two different solutions to a problem about the impact of this replacement onthe electron density matrix, which goes far beyond the original Pauli principle.