Quantum SU(2,2)-harmonic oscillator
Copyright policy )Quantum SU(2,2)-harmonic oscillator
The $SU(2,2)$-harmonic oscillator on the phase space ${\cal A}(2,2)= {SU(2,2)}/{S(U(2)\times U(2))}$ is quantized using the coherent states. The quantum Hamiltonian is the Toeplitz operator corresponding to the square of the distance with respect to the $SU(2,2)$-invariant K��hler metric on the phase space. Its spectrum, depending on the choice of representation of $SU(2,2)$, is computed.
10 pages, LaTex file
- University of Wrocław Poland
High Energy Physics - Theory, phase space, Applications of global analysis to the sciences, \(SU(2,2)\)-harmonic oscillator, High Energy Physics - Theory (hep-th), quantum Hamiltonian, FOS: Physical sciences, Coherent states, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, coherent states, Selfadjoint operator theory in quantum theory, including spectral analysis, spectrum
High Energy Physics - Theory, phase space, Applications of global analysis to the sciences, \(SU(2,2)\)-harmonic oscillator, High Energy Physics - Theory (hep-th), quantum Hamiltonian, FOS: Physical sciences, Coherent states, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, coherent states, Selfadjoint operator theory in quantum theory, including spectral analysis, spectrum
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