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Covers the Heisenberg group representation, including shifts, multiplications, and the Fourier transform, extending to finite fields and metaplectic groups.
Covers the fundamental concepts of quantum physics and diagonalization of operators.
Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.
Explores quantum state evolution, unitary operators, Heisenberg representation, spin precession, and observable averages.
Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.
Delves into magnetic ordering in materials, covering neglected spin interactions, Curie temperature, Neel temperature, and the Heisenberg Hamiltonian.
