To enhance the optimization ability of quantumbehaved particle swarm optimization algorithm, some improvement measures are proposed. First, we propose a encoding approach based on qubits described on Bloch sphere. This approach makes each particle contain three groups of Bloch coordinates of qubits, and all three groups of coordinates are regarded as approximate solutions describing optimizatio...

The scientific community is becoming more and more interested in the research that applies themathematical formalism of quantum theory tomodel human decision-making. In this paper, we expose the theoretical foundations of the quantum approach to cognition that we developed in Brussels. These foundations rest on the results of two decade studies on the axiomatic and operational-realistic approac...

We present wannier90, a program for calculating maximally-localised Wannier functions (MLWF) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread of the MLWF in real space. This is done in the space of unitary matrices that describe rotations of the Bloch bands at each k-point. As a result, wannier90 is...

Bloch and Okounkov introduced an n-point correlation function on the infinite wedge space and found an elegant closed formula in terms of theta functions. This function has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, etc, and it can also be interpreted as correlation functions on integrable ĝl ∞ -modules of level one. Such ĝl ∞ -correlation functions at higher levels...

We give a new and simple compactness criterion for composition operators Cφ on BMOA and the Bloch space in terms of the norms of φ in the respective spaces.

We give some sufficient and necessary conditions for an analytic function f on the unit ball B with Hadamard gaps, that is, for f (z)=∑k=1Pnk (z) (the homogeneous polynomial expansion of f ) satisfying nk+1/nk ≥ λ > 1 for all k ∈N, to belong to the space p(B)= { f |sup0<r<1(1− r2)‖R fr‖p <∞, f ∈H(B)}, p = 1,2,∞ as well as to the corresponding little space. A remark on analytic functions with Ha...

The fine-structure spots in an electron diffraction pattern from a crystal wedge represent the strong partial waves of strongly excited Bloch waves. Diffraction experiments near the [100] and the [110] zone axes of a CaF, crystal were carried out in order to determine from a fine-structure profile analysis the low-indexed structure potentials V n i , V200 and V220 the absorption coefficients of...

We define and characterize the harmonic Besov space Bp, 1 ≤ p ≤ ∞, on the unit ball B in Rn. We prove that the Besov spaces Bp, 1 ≤ p ≤ ∞, are natural quotient spaces of certain Lp spaces. The dual of Bp, 1 ≤ p < ∞, can be identified with Bq , 1/p + 1/q = 1, and the dual of the little harmonic Bloch space B0 is B1.