Studies in Haldane's exclusion statistics
碩士 === 淡江大學 === 物理學系 === 85 === We introduce Haldane's definition of the fractional exclusion statistics which is reformed as a generalization of the Pauli exclusion principle and is independent of the dimension of space. Particles...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
1997
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| Online Access: | http://ndltd.ncl.edu.tw/handle/40508824178749928376 |
| Summary: | 碩士 === 淡江大學 === 物理學系 === 85 === We introduce Haldane's definition of the fractional exclusion
statistics which is reformed as a generalization of the Pauli
exclusion principle and is independent of the dimension of
space. Particles which obey fractional exclusion statistics are
called g-ons. We then apply such statistics to derive the
occupation-number distribution in an ideal g-on gas with or
without mutual statistics. We discuss some thermodynamic
properties of an ideal g-on gas in two conditions. One is at low
temperatures and high densities and the other is at high
temperatures and low densities. We also discuss the low
temperature properties, such as the Landau-de Haas-van Alphen
effect, of a two-dimensional g-on gas in a uniform magnetic
field. Finally we study the mass-radius and the mass-central
density relationships of white dwarf-like stars of g-ons.
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