525 citations · 1k across the 33 of their papers we have counts for
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Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics
Gabriel Matos, Bruno Mera, José M. Mourão +2
We study the change of the Laughlin states under large deformations of the geometry of the sphere and the plane, associated with Mabuchi geodesics on the space of metrics with Hami…
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…
Extending coherent state transforms to Clifford analysis
William D. Kirwin, José Mourão, João P. Nunes +1
We introduce two extensions of the Segal-Bargmann coherent state transform from to Hilbert spaces of slice monogenic and axial monogenic functions and study t…
Quantization in singular real polarizations: Kähler regularization, Maslov correction and pairings
João N. Esteves, José M. Mourão, João P. Nunes
We study the Maslov correction to semiclassical states by using a Kähler regularized BKS pairing map from the energy representation to the Schrödinger representation. For general s…