Tunnel effect in the motion of deformable wavelets

In a previous paper it was shown that the tunnel effect does not occur in the motion of an undeformable wavelet which we obtained by solving the Schrödinger equation and interpreted as representing a single particle. In the present supplementary paper we solve the same Schrödinger equation while modifying one of the restrictive conditions assumed previously, and obtain wavelets which deform in force fields. Tunnel effects are seen in the motion of these deformable wavelets. An apparent inaccuracy pointed out mathematically in these solutions is shown to be insignificant under conditions which are feasible in the physical sense.     

Spontaneous formation of cadmium hydroxide nanostrands in water

Cadmium hydroxide nanostrands with a diameter of 1.9 nm were spontaneously formed by raising the pH of a dilute Cd(NO3)2 solution. The length reaches a few micrometers and the aspect ratio exceeds 1000. The crystallographic structure was successfully elucidated by high-resolution electron microscopy. The surface of the nanostrands was remarkably positively charged and adsorbed an astonishing number of negatively charged dye molecules.     

Coenzym-Modelle. 6. Mitt. Additionsreaktion des Sulfitions an monomere und polymere Nicotinamide Beziehung zwischen den Gleichgewichts- und Reaktionsgeschwindigkeiten

Ohne Zusammenfassung     

Two-dimensional self-assembled structures of melamine and melem at the aqueous solution-Au(111) interface

Self-assembled structures of melamine and the condensed melamine derivative melem were investigated at aqueous solution-Au(111) interfaces by cyclic voltammetry and in situ scanning tunneling microscopy (STM) observation. The adsorption/desorption behaviors of both molecules on Au(111) surfaces could be controlled by varying the electrochemical potential and solution concentration. In the negative potential region, self-assembled structures of melem and melamine were constructed by double hydrogen bonding systems between nitrogen atoms of triazine rings and amine groups. In addition, melem formed a closely packed structure at potentials of between -0.3 and -0.15 V or in solutions at higher concentrations.     

U(1) gauge-coupled Dirac equation and massless (QED)2 on a finite element

Toward the construction of the gauge theory on a lattice without species doubling, we formulate the U(1) gauge-coupled Dirac equation on a finite element in (d + 1)-dimensional space-time. For massless (QED)₂, we derive the vector current conservation and the axial anomaly. The reproduction of the axial anomaly indicates the resolution of the doubling problem.     

A relation between the dirac field of the electron and electromagnetic fields

There is a point of view from which a field governed by the Dirac equation for the electron is the same as a field governed by the Maxwell-Lorentz equations for electromagnetic fields. This observation suggests the possibility that the two sets of equations are of the same origin.     

Katalyse durch Polymerkomplexe. 5. Mitt. Die heterotropische Wechselwirkung von Histamin und Hydroxamat enthaltenden Polymerkatalysatoren mit hydrophoben Ammoniumsalzen bei der Phenylesterhydrolse

Ohne Zusammenfassung     

Coenzym-Modelle. 5. Mitt. Additionsreaktion des Cyanidions an monomere und polymere Nicotinamide Beziehung zwischen den Gleichgewichts-und Reaktionsgeschwindigkeiten

Ohne Zusammenfassung