A note on asymptotic helix and quantum mechanical structure.
A note on coalgebra gauge theory
A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.
A note on codes and kets.
A note on Dirac operators on the quantum punctured disk.
A note on n-ary Poisson brackets
An -ary Poisson bracket (or generalized Poisson bracket) on the manifold is a skew-symmetric -linear bracket of functions which is a derivation in each argument and satisfies the generalized Jacobi identity of order , i.e.,
A note on noncommutative and false noncommutative spaces.
A note on states of von Neumann algebras
The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
A note on the convergence of quantizers.
A note on the extensibility of states
A note on trignometric sums arising in gauge theory.
A note on weak hidden variables
A numerical perspective on Hartree−Fock−Bogoliubov theory
The method of choice for describing attractive quantum systems is Hartree−Fock−Bogoliubov (HFB) theory. This is a nonlinear model which allows for the description of pairing effects, the main explanation for the superconductivity of certain materials at very low temperature. This paper is the first study of Hartree−Fock−Bogoliubov theory from the point of view of numerical analysis. We start by discussing its proper discretization and then analyze the convergence of the simple fixed point (Roothaan)...
A numerically efficient approach to the modelling of double-Qdot channels
We consider the electronic properties of a system consisting of two quantum dots in physical proximity, which we will refer to as the double-Qdot. Double-Qdots are attractive in light of their potential application to spin-based quantum computing and other electronic applications, e.g. as specialized sensors. Our main goal is to derive the essential properties of the double-Qdot from a model that is rigorous yet numerically tractable, and largely circumvents the complexities of an ab initio simulation....
A partial solution for Feynman's problem – a new derivation of the Weyl equation.
A polynomial invariant of rational homology 3-spheres.
A possible approach to inclusion of space and time in frame fields of quantum representations of real and complex numbers.
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
À propos du calcul différentiel sur les groupes quantiques
A Pseudo-Algebra of Observables for the Dirac Equation.
A -analogue of the centralizer construction and skew representations of the quantum affine algebra.