Quantum $SU(2,2)$-Harmonic Oscillator

Wojciech Mulak

The $SU(2,2)$-harmonic oscillator on the phase space $\mathcal{A}(2,2)=SU(2,2)/S(U(2)\times U(2))$ is quantized using the coherent states. The quantum Hamiltonian is the Toeplitz…