16 citations · 19 across the 8 of their papers we have counts for
3 papers · 1 filter
Partial coherent state transforms, -invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups
José M. Mourão, João P. Nunes, Miguel B. Pereira
In this paper, we study the analytic continuation to complex time of the Hamiltonian flow of certain -invariant functions on the cotangent bundle of a compact connected…
Holomorphic fractional Fourier transforms
William D. Kirwin, José Mourão, João P. Nunes +1
The Fractional Fourier Transform (FrFT) has widespread applications in areas like signal analysis, Fourier optics, diffraction theory, etc. The Holomorphic Fractional Fourier Trans…
Segal-Bargmann transforms from hyperbolic Hamiltonians
William D. Kirwin, José Mourão, João P. Nunes +1
We consider the imaginary time flow of a quadratic hyperbolic Hamiltonian on the symplectic plane, apply it to the Schrödinger polarization and study the corresponding evolution of…