Article on the theory of surface morphology of wurtzite GaN (0001) surfaces.

A new method is developed for treating atoms and molecules in a magnetic field in a gauge-invariant way using the Rayleigh-Ritz energy variational principle. The energy operator depends on the vector potential which must be chosen in some gauge. In order to adapt the trial wave function to the gauge of the vector potential, the trial wave function can be multiplied by a phase factor which depends on the spatial coordinates. When the energy expectation value is minimized with respect to the phase function, the equation for charge conservation for stationary states is obtained. This equation can be solved for the phase function, and the solution used in the energy expectation value to obtain a gauge-invariant energy. The method is applicable to all quantum mechanical systems for which the variational principle can be applied. It ensures satisfaction of the charge conservation condition, a gauge-invariant energy, and the best upper bound to the ground-state energy which can be obtained for the form of trial wave function chosen.

Article reports that the massive amount of available neurodata suggests the existence of a mathematical backbone underlying neuronal oscillatory activities. The authors assert that the Monge’s theorem might contribute to our visual ability of depth perception and the brain connectome can be tackled in terms of tunnelling nanotubes.

Paper discussing knowledge, knowability, and the search for objective randomness to a new vision of complexity.

Article discussing grand canonical simulations based on density-functional theory to study the thermodynamic properties of electrochemical interfaces of metallic electrodes in aqueous environments.

This article introduces a form of Self-organized Criticality (SOC) inspired by the new generation of evolutionary game theory, which ranges from physiology to sociology.

This article elaborates on a discussion of the emergence of intelligence via criticality as a consequence of locality breakdown, by using criticality for the foundation of a novel generation of game theory making the local interaction between players yield long-range effects.

This article adopts the complexity matching principle that the maximal efficiency of communication between two complex networks is realized when both of them are at criticality, and uses this principle to establish the value of the neuronal interaction strength at which criticality occurs.

Article describes how the transdisciplinary nature of science as a whole became evident as the necessity for the complex nature of phenomena to explain social and life science, along with the physical sciences, blossomed into complexity theory and most recently into complexitysynchronization. The authors use the scaling of empirical datasets from the brain, cardiovascular and respiratory networks to support the hypothesis that complexity synchronization occurs between scaling indices or equivalently with the matching of the time dependencies of the networks' multifractal dimensions.

Keynote address for the 2004 University Scholars Day delivered by Dr. Samuel Matteson. This keynote speaker discusses common threads of thought and practice that run through what is called "research."

Article discussing the dynamic networking and dynamic networks in complex research on psychophysics, psychology, and neurophysiology.

This is a review of applications of polariton modes related to the design and fabrication of electro-optical circuits. The emphasis is made on surface plasmon-polaritons which have already demonstrated their value in many fields of technology. Other possible quasiparticles as well as their hybridization with plasmons are discussed.

This article presents an effective integration scheme of nanostructured SnO₂ with the fiber optic platform for chemical sensing applications based on evanescent optical interactions.

This article finds a zero in the positronium formation scattering amplitude and a deep minimum in the logarithm of the corresponding differential cross section for positron–helium collisions for an energy just above the positronium formation threshold. Results show that there is a valley in the logarithm of the positronium formation differential cross section that includes the deep minimum and also a minimum in the forward direction.

Article proposes the “coordination corrected enthalpies” method (CCE), based on the number of nearest neighbor cation–anion bonds, and also capable of correcting relative stability of polymorphs.

In this article, the authors study the electroencephalogram (EEG) of 30 closed-eye subjects with a technique of analysis recently proposed to detect punctual events signaling rapid transitions between different metastable states.

Patent relating a method and apparatus for hydrogen production from greenhouse gas saturated carbon nanotubes and synthesis of carbon nanostructures therefrom.

Article discussing research on linear response and 1/f optimal information transport.

This article emphasizes that 1/f noise has two different origins, one compatible with Laplace determinism and one determined by unpredictable crucial events.

This article discusses complexity and synchronization in decision making and information transmission.

This article shows that the Borsuk-Ulam theorem applies also to multisensory integration: two environmental stimuli from different sensory modalities display similar features when mapped into cortical neurons.

Article on the strain effects on the interface properties of nitride semiconductors.

Article on electronic transport in extended systems and the application to carbon nanotubes.

Article discussing M-shell x-ray-production cross sections in thin targets of ₇₉Au, ₈₂Pb, ₈₃Bi, and ₉₂U by 0.3 - 2.6-MeV ₁⁴H+ and ₂⁴He+ ions.