One-Dimensional Bose Gas with Delta Function Interactions in an Infinite Well

• Main Authors: Chang, Tsu-Ming, 張祖明
• Other Authors: Hong, Tzay-Ming
• Format: Others
• Language: en_US
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/66068703691602136222

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.