Kazumi Maki

Quantization of Flux in Superconductors

It is shown that flux quantization in superconducting cylindrical tubes follows directly from a microscopic theory

EFFECT OF MAGNETIC FIELDS ON HEAT TRANSPORT IN SUPERCONDUCTORS

by the use of the thermal Greens functions. It is shown that the anisotropic terms due to the induced flow vanish of the order of lf~o when l. is short, where l is the electronic .mean free path and ~0 the coherence length of the electron pair.

On vertical representation of Bethe-Salpeter amplitudes.

The Bethe-Salpeter equation for S-wave bound states of two scalar particles with equal mass interacting via scalar mesons is considered in the ladder approximation. It is shown that an integral representation holds for all the solutions, normal and abnormal, of the B-S equation. Use is made of the fact that the B-S equation under consideration can be written in a form of an integral equation with a real symmetric and positive kernel. Also given is a limitation on the lowest eigenvalue of such an integral kernel in terms of its first and second traces.

Josephson Effect in Superconductive Tunnelling

The Ginzburg-Landau equation is used to investigate the Josephson effect in superconductive tunnelling in which condensed electron pairs tunnel through the barrier. (C.E.S.)

On the Strength of the Coupling Constant and the Stability of the Vacuum

Recently in connection with the S matrix theory of strong interactions, Chew and Frautschi conjectured that the strength of the coupling constant may be determined from the unitarity condition and the postulate of the maximal analyticity of the scattering amplitude. Here it is shown, by use of the Bethe- Salpeter equation, that the upper bound of the strength of the coupling is to be determined for some simple models within the framework of quantum field theory on the postulate that the vacuum should be stable. (W.D.M.)