Graphical representation of the partition function for a 1 - D δ - function Bose gas
نویسنده
چکیده
One-dimensional repulsive δ-function bose system is studied. By only using the Bethe ansatz equation, n-particle partition functions are exactly calculated. From this expression for the n-particle partition function, the n-particle cluster integral is derived. The results completely agree with those of the thermal Bethe ansatz (TBA). This directly proves the validity of the TBA. The theory of partitions and graphs is used to simplify the discussion.
منابع مشابه
2 Partition Function for a 1 - D δ - function Bose Gas
The N-particle partition function of a one-dimensional δ-function bose gas is calculated explicitly using only the periodic boundary condition (the Bethe ansatz equation). The N-particles cluster integrals are shown to be the same as those by the thermal Bethe ansatz method.
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