Fock Space Representation of the Circle Quantum Group

A Fock space representation for the quantum Lorentz gas

Imsc -960101 Fock Space Representation of Differential Calculus on the Noncommutative Quantum Space

A complete Fock space representation of the covariant differential calculus on quantum space is constructed. The consistency criteria for the ensuing algebraic structure, mapping to the canonical fermions and bosons and the consequences of the new algebra for the statistics of quanta are analyzed and discussed. The concept of statistical transmutation between bosons and fermions is introduced. ...

Geometric Methods in Representation Theory Fock Space Representations Fock Space Representations of U Q ( Sl N )

Articles-Karin BAUR: Cluster categories, m-cluster categories and diagonals in polygons-Ada BORALEVI: On simplicity and stability of tangent bundles of rational homogeneous varieties-Laurent EVAIN: Intersection theory on punctual Hilbert schemes-Daniel JUTEAU, Carl MAUTNER and Geordie WILLIAMSON: Perverse sheaves and modular representation theory-Manfred LEHN and Christoph SORGER: A symplectic ...

Quantum Field Theory on Fock Projective Space

It is shown that some analog of the “second quantization” exists in the framework of CP (N) theory. I analyse conditions under that “geometrical bosons” may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.

Stop times in Fock Space Quantum Probability

We review Fock space based quantum probability and in particular the theory of stop times based on it. In the Fock space H = F(L2(R+)), a stop time may be defined as as a positive self-adjoint operator T = ∫ R+ λ dE(λ) whose spectral resolution (E(λ):λ ∈ R+) is adapted to the natural filtration based on the splittings F(L(R)) = F(L([0, λ[)⊗F(L([λ,∞[) Then if K is one of the basic quantum martin...