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TMF, 1971, Volume 8, Number 1, Pages 109–118 (Mi tmf4390)  

This article is cited in 1 scientific paper (total in 1 paper)

Canonical transformation method in the thermodynamics of a partially ionized plasma

V. S. Vorob'ev, A. L. Khomkin


Abstract: A study is made of a system of interacting fermions under conditions when pair bound states can be formed. A canonical transformation that contains Fermi and Bose operators is proposed to describe these states. After the transformation the original Hamiltonian is expressed in terms of these new operators. In the case of a rarefied gas the transformed Hamiltonian describes a mixture of a perfect gas of bosons and fermioas whose interaction is described by a certain renornmlized potential. When applied to the thermodyaamics of a partially ionized plasma it is shown that allowance for this interaction leads to expressions that do not contain divergences. A convergent expression is obtained for the partition function of the atoms.

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English version:
Theoretical and Mathematical Physics, 1971, 8:1, 708–714

Received: 10.08.1970

Citation: V. S. Vorob'ev, A. L. Khomkin, “Canonical transformation method in the thermodynamics of a partially ionized plasma”, TMF, 8:1 (1971), 109–118; Theoret. and Math. Phys., 8:1 (1971), 708–714

Citation in format AMSBIB
\Bibitem{VorKho71}
\by V.~S.~Vorob'ev, A.~L.~Khomkin
\paper Canonical transformation method in the thermodynamics of a~partially ionized plasma
\jour TMF
\yr 1971
\vol 8
\issue 1
\pages 109--118
\mathnet{http://mi.mathnet.ru/tmf4390}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 8
\issue 1
\pages 708--714
\crossref{https://doi.org/10.1007/BF01038680}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Theoret. and Math. Phys., 96:3 (1993), 1035–1056  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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