Summary: | 碩士 === 國立清華大學 === 物理研究所 === 84 === One-dimensional bosons with a delta function interaction in an
infinite well is analyzed. Its wave function, energy spectrum,
and other thermodynamic properties are obtained. First, for
comparison, we deal with the problem that iti- nerant particles
interact with a point defect via a delta function interaction
in an infinite well in chapter 2, and we find perturbation
results to be a good approximation. Secondly, we suppose that
the bose gas interact with a delta function interaction in an
infinite well, and then we analyze the wavefunction and
spectrum. In chapter 3 we deal with two bosons case, and in
chapter 4 we generalize the re- sults to many bosons. When we
take the thermodynamic limit, we get the results which are the
same as those employed by the periodic boundary condition.
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