Twisted quantum doubles.
Twisted spectral triples and covariant differential calculi
Connes and Moscovici recently studied "twisted" spectral triples (A,H,D) in which the commutators [D,a] are replaced by D∘a - σ(a)∘D, where σ is a second representation of A on H. The aim of this note is to point out that this yields representations of arbitrary covariant differential calculi over Hopf algebras in the sense of Woronowicz. For compact quantum groups, H can be completed to a Hilbert space and the calculus is given by bounded operators. At the end, we discuss an explicit example of...
Twistor operators on conformally flat spaces
Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space , standard even dimensional sphere , and standard even dimensional hyperbolic space , using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on .
Twistors and gauge fields.
Two classical results in the quantum mixed case.
Two Hartree-Fock models for the vacuum polarization
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.
Two point correlation functions for a periodic box-ball system.
Two versions of the projection postulate: from EPR argument to one-way quantum computing and teleportation.
Two-body relativistic systems in external field
Two-channel hamiltonians and the optical model of nuclear scattering
Two-dimensional supersymmetric quantum mechanics: two fixed centers of force.
Two-parameter non-commutative Central Limit Theorem
In 1992, Speicher showed the fundamental fact that the probability measures playing the role of the classical Gaussian in the various non-commutative probability theories (viz. fermionic probability, Voiculescu’s free probability, and -deformed probability of Bożejko and Speicher) all arise as the limits in a generalized Central Limit Theorem. The latter concerns sequences of non-commutative random variables (elements of a -algebra equipped with a state) drawn from an ensemble of pair-wise commuting...
Two-particle structure and renormalization
Two-valued states on a concrete logic and the additivity problem
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere.
T-инвариантность, CPT-инвариантность и локальная коммутативность квантовой модели
-deformed WZW model and its gauging.
Über die Existenz von Wellenoperatoren für zeitabhängige Störungen.
Über die Grundlagen der Quantenmechanik
Un programme de quantification des champs libres relativistes sur les espaces courbes