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Chemical potential and internal energy of the noninteracting Fermi gas in fractional-dimensional space

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Abstract

Chemical potential and internal energy of a noninteracting Fermi gas at low temperature are evaluated using the Sommerfeld method in the fractional-dimensional space. When temperature increases, the chemical potential decreases below the Fermi energy for any dimension equal to 2 and above due to the small entropy, while it increases above the Fermi energy for dimensions below 2 as a result of high entropy. The ranges of validity of the truncated series expansions of these quantities are extended from low to intermediate temperature regime as well as from high to relatively low density regime by using the Padé approximant technique.

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  1. Institute of Mathematics and Applications, Surya Kiran Building, Saheed Nagar, Bhubaneswar, 751 007, India

    S. Panda & B. K. Panda

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  1. S. Panda
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  2. B. K. Panda
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Correspondence to S. Panda.

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Panda, S., Panda, B.K. Chemical potential and internal energy of the noninteracting Fermi gas in fractional-dimensional space. Pramana - J Phys 75, 393–402 (2010). https://doi.org/10.1007/s12043-010-0125-5

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  • DOI: https://doi.org/10.1007/s12043-010-0125-5

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