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Quantum Systems Exactly
Peter Schupp
Contents: 1 Frustrated quantum spin systems 1.1 The Pyrochlore checkerboard 1.2 Singlets in reflection symmetric spin systems 2 Wehrl entropy of Bloch coherent states 2.1 Conjectur…
Singlets and reflection symmetric spin systems
Elliott H. Lieb, Peter Schupp
We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positi…
Ground state properties of a fully frustrated quantum spin system
Elliott H. Lieb, Peter Schupp
We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of p…
On Lieb's conjecture for the Wehrl entropy of Bloch coherent states
Peter Schupp
Lieb's conjecture for the Wehrl entropy of Bloch coherent states is proved for spin 1 and spin 3/2. Using a geometric representation we solve the entropy integrals for states of ar…