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1: 25.17 Physical Applications

… ►The zeta function arises in the calculation of the partition function of ideal quantum gases (both Bose–Einstein and Fermi–Dirac cases), and it determines the critical gas temperature and density for the Bose–Einstein condensation phase transition in a dilute gas (Lifshitz and Pitaevskiĭ (1980)). …

2: 5.20 Physical Applications

… ►Suppose the potential energy of a gas of $n$ point charges with positions $x_1,x_2,\mathrm{\dots },x_n$ and free to move on the infinite line , is given by …The probability density of the positions when the gas is in thermodynamic equilibrium is: …

3: 9.16 Physical Applications

… ►The investigation of the transition between subsonic and supersonic of a two-dimensional gas flow leads to the Euler–Tricomi equation (Landau and Lifshitz (1987)). …

4: Bibliography J

… ►

Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Phys. D 1 (1), pp. 80–158.

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External Links:

ISSN 0167-2789, Document, MathReview, ZentralBlatt

Referenced by:

§32.16.

Encodings:

BibTeX

…

5: 4.13 Lambert $W$-Function

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4.13.9 $$1\cdot 3\cdot 5\mathrm{\cdots }(2n+1)c_{2n+1}=g_n,$$

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Symbols:

$n$: integer, $c_{\mathrm{i}}$: coefficients and $g_n$: Unknown defined in GA

Permalink:

http://dlmf.nist.gov/4.13.E9

Encodings:

pMML, png, TeX

See also:

Annotations for §4.13 and Ch.4

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6: Bibliography D

… ►

Atomic motions in a rigid sphere gas as a problem in neutron transport. Nucl. Sci. Eng. 24 (2), pp. 142–152.

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Referenced by:

§18.39(iii).

Encodings:

BibTeX

…

7: 18.39 Applications in the Physical Sciences

… ►For applications of Legendre polynomials in fluid dynamics to study the flow around the outside of a puff of hot gas rising through the air, see Paterson (1983). …