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Influence of the Fermionic Exchange Symmetry beyond Pauli's Exclusion Principle
Felix Tennie, Vlatko Vedral, Christian Schilling
Pauli's exclusion principle has a strong impact on the properties of most fermionic quantum systems. Remarkably, the fermionic exchange symmetry implies further constraints on the…
Number-parity effect for confined fermions in one dimension
Christian Schilling, Rolf Schilling
For spin-polarized fermions with harmonic pair interactions in a -dimensional trap an odd-even effect is found. The spectrum of the -particle reduced density matrix of th…
Quantum Marginal Problem and its Physical Relevance
Christian Schilling
The Pauli exclusion principle as constraint on fermionic occupation numbers is a consequence of the much deeper fermionic exchange statistics. Just recently, it was shown by Klyach…
Hubbard model: Pinning of occupation numbers and role of symmetries
Christian Schilling
Fermionic natural occupation numbers do not only obey Pauli's exclusion principle, but are even further restricted by so-called generalized Pauli constraints. Such restrictions are…