1 citations · 1 across the 1 of their papers we have counts for
5 papers
Berezin-Toeplitz quantization and the least unsharpness principle
Louis Ioos, David Kazhdan, Leonid Polterovich
We show that compatible almost-complex structures on symplectic manifolds correspond to optimal quantizations.
Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula
Louis Ioos
We use the theory of Berezin-Toeplitz operators of Ma and Marinescu to study the quantum Hamiltonian dynamics associated with classical Hamiltonian flows over closed prequantized s…
Spectral aspects of the Berezin transform
Louis Ioos, Victoria Kaminker, Leonid Polterovich +1
We discuss the Berezin transform, a Markov operator associated to positive operator valued measures (POVMs), in a number of contexts including the Berezin-Toeplitz quantization, Do…
Quantization and isotropic submanifolds
Louis Ioos
We introduce the notion of an isotropic quantum state associated with a Bohr-Sommerfeld manifold in the context of Berezin-Toeplitz quantization of general prequantized symplectic…
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the ori…