A method for the numerical solution of three-dimensional polaron equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 7, pp. 109-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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P. G. Akishin; I. V. Puzynin; Yu. S. Smirnov. A method for the numerical solution of three-dimensional polaron equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 7, pp. 109-118. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_7_a8/

[1] Pekar S. I., Issledovaniya po elektronnoi teorii kristallov, Gostekhteorizdat, M., 1951

[2] Amirkhanov I. V., Lakhno V. D., Puzynin I. V. i dr., Chislennoe issledovanie nelineinoi samosoglasovannoi zadachi na sobstvennye znacheniya v obobschennoi modeli polyarona, Preprint, NTsBI AN SSSR, Puschino, 1988, 24 pp.

[3] Amirkhanov I. V., Puzynin I. V., Strizh T. A. i dr., Chislennoe issledovanie nelineinoi samosoglasovannoi zadachi na sobstvennye znacheniya v obobschennoi modeli solvatirovannogo elektrona, Preprint, NTsBI AN SSSR, Puschino, 1990, 24 pp.

[4] Amirkhanov I. V., Zemlyanaya E. V., Puzynina T. P., Iteratsionnyi metod resheniya uravneniya polyarona v sfericheski-simmetrichnom sluchae, Soobsch. R-11-91-139, OIYaI, Dubna, 1991, 10 pp.

[5] Gabdullin P. P., Malomernaya approksimatsiya reshenii uravneniya polyarona Pekara, Preprint, NTsBI AN SSSR, Puschino, 1991, 25 pp.

[6] Amirkhanov I. V., Puzynin I. V., Puzynina T. P., Zemlyanaya E. V., Iteration method for solving the spherical non-symmetrical polaron equation (the Luttinger-Lu model), Preprint. E-11-92-205, JINR, Dubna, 1992, 10 pp.

[7] Gabdullin P. P., “Nesfericheskie resheniya uravneniya polyarona”, Dokl. RAN, 333:1 (1993), 23–27 | MR | Zbl

[8] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Mir, M., 1975 | MR

[9] Korn G., Korn T., Spravochnik po matematike dlya nauchnykh rabotnikov, Nauka, M., 1970 | MR

[10] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl

[11] Akishin P. G., Puzynin I. V., Realizatsiya metoda Nyutona v raznostnykh zadachakh Shturma-Liuvillya, Soobsch. 5-10992, OIYaI, Dubna, 1977, 11 pp.

[12] Luttinger J. M., Lu C. Y., “Generalized path-integral formalism of the polaron problem and its second order semi-invariant correction to the ground-state energy”, Phys. Rev. B, 21:10 (1980), 4251–4263 | DOI | MR