Bosonization Method Research Articles

Boson Method in Superconductivity: Application to the Study of Vortex Lines

The boson method in superconductivity, developed in previous articles, is extended and applied to the problem of vortices in neutral and type-II superconductors. In the approximation considered, the distributions of current and magnetic field of a single vortex are given in the whole domain, up to the center of the flux line. Expressions for the vortex self-energy and the interaction energy between two vortices are also derived. In the limiting case in which $\ensuremath{\kappa}\ensuremath{\gg}1$ (where $\ensuremath{\kappa}$ is the Ginzburg-Landau parameter) and the structure of the core is approximated by a $\ensuremath{\delta}$ function, our results agree with those of Abrikosov's theory, based on the Ginzburg-Landau equations.

Theory of the Second Virial Coefficient of Polymer Solution

The second virial coefficient A2 has been derived from Fixman's boson method. The result shows that A2 becomes constant at high molecular weight in good solvents. Thus this theory can predict the experimental observations by Sotobayashi–überreiter, and the cs0 dependency of A2 of polyelectrolyte.

Transcription de la quasi-particule dans l'espace ideal et la méthode des bosons

A transcription of the quasi-particle into the ideal space is written in such a way that all the terms which contribute for the three quasi-particles system in QTD approximation can be found. Canonical transformations between the ideal quasi-particles are studied. An application to one shell is done with the result that the boson method gives exactly the same spectra as the Kuo method.

On the description of fermion systems in boson representations (II). Further discussion of the degenerate model and the y0degree of freedom

The boson expansions of fermion pair operators proposed earlier are for the case of seniority-zero pairs in one degenerate j-shell given in a closed form. It is shown, for the case of pairing interaction, that the boson treatment gives the exact solutions. This provides an unambiguous interpretation of a parameter denoted y 0, which is left undetermined by the boson method. The role played by y 0 in realistic calculations is further discussed including now quadrupole residual interaction in the model.

Comparison between a boson-expansion method and the exact solution in a two-level model

A detailed comparison is made, between the boson method developed by Sørensen following the ideas of Beliaev and Zelevinsky and an exact solution of a two-level system of like particles interacting via a pairing force.

Extension of the Variational Method for Hard-Sphere Bosons

The coordinate-space variational treatment for the hard-sphere boson gas developed by Aviles and Iwamoto has been extended to include the first logarithmic term in the ground-state energy expansion. The result agrees, within four percent, with the exact results of Wu and others. The form of the variational wave function used is discussed and compared with that obtained using the pseudopotential method of Lee, Huang, and Yang.