Geodesic
Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 154-158 
M. A. Butlitskii; B. B. Zelener; B. V. Zelener; È. A. Manykin. Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 154-158. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a10/
@article{ZVMMF_2008_48_1_a10,
     author = {M. A. Butlitskii and B. B. Zelener and B. V. Zelener and \`E. A. Manykin},
     title = {Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {154--158},
     year = {2008},
     volume = {48},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a10/}
}
TY  - JOUR
AU  - M. A. Butlitskii
AU  - B. B. Zelener
AU  - B. V. Zelener
AU  - È. A. Manykin
TI  - Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 154
EP  - 158
VL  - 48
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a10/
LA  - ru
ID  - ZVMMF_2008_48_1_a10
ER  - 
%0 Journal Article
%A M. A. Butlitskii
%A B. B. Zelener
%A B. V. Zelener
%A È. A. Manykin
%T Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 154-158
%V 48
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a10/
%G ru
%F ZVMMF_2008_48_1_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

The two-particle density matrix of the electron-proton interaction is exactly calculated at temperatures $T$ between 3 and 100 K. The connection of the results with the semiclassical approximation is shown. A method is described for calculating the Coulomb wave functions necessary for the determination of the density matrix.

[1] Barker A. A., “Effective potentials between the components of a hydroceneous plasma”, J. Chem. Phys., 55:4 (1971), 1751–1759 | DOI | MR

[2] Storer R. G., “Path-integral calculation of the quantum-statistical density matrix for attractive Coulomb forces”, J. Math. Phys., 9 (1968), 964–970 | DOI

[3] Ebeling W., “Statistische Thermodynamik der gebundenen Zustande in Plasmen”, Annalys. Phys. (Leipzig), 19 (1967), 104–112 | DOI

[4] Landau L. D., Livshits E. M., Kvantovaya mekhanika (nerelyativistskaya teoriya), v. 3, Fizmatlit, M., 2001

[5] Zelener B. V., Norman G. E., Filinov B. C., Teoriya vozmuschenii i psevdopotentsial v statisticheskoi termodinamike, Nauka, M., 1981

[6] Bonits M., Zelener B. B., Zelener B. V. i dr., “Termodinamika i korrelyatsionnye funktsii ultrakholodnoi neidealnoi ridbergovskoi plazmy”, Zh. eksperim. i teor. fiz., 125 (2004), 821–831

[7] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov summ, ryadov i proizvedenii, Fizmatlit, M., 1963 | MR

[8] Froberg C.-E., “Numerical treatment of Coulomb wave functions”, Rev. Mod. Phys., 27:4 (1955), 399–411 | DOI | MR

[9] Stequn T., Abramowitz M., “Generation of Coulomb wave functions by means of recurrence relations”, Phys. Rev., 98 (1955), 1851–1852 | DOI | MR

[10] Butlitsky M. A., Fortov V. E., Manykin E. A. et al., “Thermodynamics of nonideal rydberg plasma created with a dye Laser”, Laser Phys., 15:2 (2005), 1–6