SOME NEW FEATURES IN THE ULTRACOLD COEXISTING ATOMIC AND MOLECULAR CONDENSATES

The dynamics of the coexisting ultracold atomic and molecular condensates in the presence of Feshbach resonance, atom–atom, molecule–molecule and atom–molecule interactions is described in terms of coupled Gross–Pitaevskii equation. We show that the appearence of oscillation or the existence of Josephson-like currents in the condensates is the natural consequence of the Gross–Pitaevskii equation under a suitable approximation regarding the nature of the condensate wave function.

MICROSCOPIC DI–NUCLEON CONDENSATE WAVE FUNCTION

New treatments are proposed for di-nucleon condensate based on the α condensate wave function. A beautiful mathematical structure is shown for the overlap.

ON SOME PROPERTIES OF A MESON

The free energy analyzed in the framework of the quantum field theory in conjunction with the statistical model for a [Formula: see text] meson is found to undergo an expansion in the condensate wave function. The superconducting and fractal properties of the meson are found to originate from the branch-cut type of singularity in the wave function of the model in which the gauge symmetry breaking is manifest.

ZEROS OF WAVE FUNCTIONS IN GINZBURG–LANDAU MODEL FOR SMALL ∊

In this paper we study zeros of condensate wave functions in Ginzburg–Landau model. The main question we are concerned with is when a condensate wave function appears to have only isolated zeros of degree one. Our main result shows that under some conditions on the energy and the tension field a condensate wave function will appear to possess only the expected number of isolated zeros of degree one. We will also discuss how the heat flow can deform a condensate wave function and make it appear to possess the expected number of isolated zeros of degree one. In the end we will mention a slight improvement of a uniqueness result of Chanillo and Kiessling.