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Regge representation of the second virial coefficient

โœ Scribed by Y. Kano; N. Mishima


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
924 KB
Volume
51
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


The Beth-Uhlenbeck formula is rederived using the notion of symmetrized and anti-symmetrized partition function introduced by Lee and Yang. By applying the method of complex angular momentum the summation of the phase shifts appearing in the formula is converted into an integral form. Consequently, the Regge pole is introduced to obtain the exact representations of the second virial coefficients. From these representations it can be seen that the location of the resonance is subject to the statistics of the system, even when the same intermolecular potential is taken. An approximation is made to derive a simplified formula which enables us to see the resonance effects for a dilute gas of low temperature.


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