Geodesic
Canonical transformation method in the thermodynamics of a partially ionized plasma
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 109-118
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_1971_8_1_a10,
     author = {V. S. Vorob'ev and A. L. Khomkin},
     title = {Canonical transformation method in the thermodynamics of a~partially ionized plasma},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {109--118},
     year = {1971},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a10/}
}
TY  - JOUR
AU  - V. S. Vorob'ev
AU  - A. L. Khomkin
TI  - Canonical transformation method in the thermodynamics of a partially ionized plasma
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 109
EP  - 118
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a10/
LA  - ru
ID  - TMF_1971_8_1_a10
ER  - 
%0 Journal Article
%A V. S. Vorob'ev
%A A. L. Khomkin
%T Canonical transformation method in the thermodynamics of a partially ionized plasma
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 109-118
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a10/
%G ru
%F TMF_1971_8_1_a10
V. S. Vorob'ev; A. L. Khomkin. Canonical transformation method in the thermodynamics of a partially ionized plasma. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 109-118. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a10/

[1] A. A. Vedenov, A. I. Larkin, ZhETF, 36 (1959), 1133 | MR | Zbl

[2] B. A. Trubnikov, V. F. Elesin, ZhETF, 47 (1964), 1279 | Zbl

[3] A. I. Larkin, ZhETF, 38 (1960), 1896 | MR

[4] R. Dekeyser, Physica, 31 (1965), 1405 | DOI | MR

[5] W. Ebeling, Ann. der. Phys., 7 (1967), 104 ; Physica, 43 (1969), 293 | DOI | DOI

[6] G. Yu. Krasnikov, ZhETF, 53 (1967), 2223

[7] M. Plank, Ann der. Phys., 75 (1924), 673 | DOI

[8] R. H. Riewe, R. Z. Rompe, Z. Phys., 111 (1938), 79 | DOI

[9] N. N. Bogolyubov, DAN SSSR, 119 (1958), 244 ; УФН, 67 (1959), 549 | DOI | MR

[10] F. J. Dyson, Phys. Rev., 102 (1966), 1217 | DOI | MR

[11] M. Girardeau, J. Math. Phys., 4 (1963), 1096 | DOI | MR | Zbl

[12] L. V. Keldysh, A. N. Kozlov, ZhETF, 54 (1968), 978

[13] G. E. Norman, A. N. Starostin, TVT, 8 (1970), 413