7 citations · 11 across the 4 of their papers we have counts for
5 papers
Symmetry Reduction of States II: A non-commutative Positivstellensatz for CPn
Philipp Schmitt, Matthias Schötz
We give a non-commutative Positivstellensatz for CP^n: The (commutative) *-algebra of polynomials on the real algebraic set CP^n with the pointwise product can be realized by phase…
Symmetry Reduction of States I
Philipp Schmitt, Matthias Schötz
We develop a general theory of symmetry reduction of states on (possibly non-commutative) *-algebras that are equipped with a Poisson bracket and a Hamiltonian action of a commutat…
Wick Rotations in Deformation Quantization
Philipp Schmitt, Matthias Schötz
We study formal and non-formal deformation quantizations of a family of manifolds that can be obtained by phase space reduction from with the Wick star product i…
Strict quantization of coadjoint orbits
Philipp Schmitt
We obtain a family of strict -invariant products on the space of holomorphic functions on a semisimple coadjoint orbit of a complex connected semisimple Lie group .…
Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits
Chiara Esposito, Philipp Schmitt, Stefan Waldmann
In this paper we discuss continuity properties of the Wick-type star product on the 2-sphere, interpreted as a coadjoint orbit. Star products on coadjoint orbits in general have be…