To the International Science Foundation, from Sergeev A.V.

(1) Atomic and Molecular Physics, 4.4.
(2) Sergeev Aleksei Vital'evich.
(3) ËáíßááÝ ·èáçîáæ ºåïÛèøáÝåõ.
(4) 18 May 1957.
(5) ÉÛîìëíï: îáíåý XIII-·Ä N 556286, ÝùàÛê 19 ëïàáèáêåáé
éåèåôåå ß. ÅáêåêßíÛàÛ 7 îáêïýÜíý 1979 ßëàÛ.
(6) Laboratory number 161, Scientific-Research Institute of
Optical Device-construction for National Economy and Amater
Cino-photo-apparatus, All-Union Scientific Centre "S.I.
Vavilov State Optical Institute".
(7) Research Associate.
(8) USSR.
(9) Birzhevaya Linia 12,Saint Petersburg 199034,Russian Federation,
telephone 218-75-26, no fax, electronic mail sergeev@soi.spb.su .
(10) Proezd Raevskogo 24, Apt. 14, Saint Petersburg 194064,
Russian Federation, telephone 552-67-67.
(11) Graduated from Physical Department of Leningrad
University (1980), Candidate Degree, in 1986.
(12.1) Vainberg V.M., ..., Sergeev A.V., ..., four
co-authors. 1/n-expansion in quantum mechanics.
Teoreticheskaya i matematicheskaya fizika, 1988,
74, 399 - 411.
(12.2) Mur V.D., ..., Sergeev A.V., ..., three
co-authors. Stark resonances and scaling in Rydberg
atoms. Zhurnal eksperimentalnoi i teoreticheskoi
fiziki, 1989, 96, 91 - 106.
(12.3) Sergeev A.V. 1/N-expansion for the three-body
problem. Yadernaya fizika, 1989, 50, 945 - 950.
(12.4) Mur V.D., ..., Sergeev A.V., two co-authors.
1/N-expansion in quantum mechanics. Zhurnal
eksperimentalnoi i teoreticheskoi fiziki, 1990,
97, 32 - 46.
(12.5) Popov V.S., ..., Sergeev A.V., ..., three co-authors.
Strong-field Stark effect: perturbation theory and
1/n-expansion. Phys. Lett.A, 1990, 149, 418 - 424.
(12.6) Popov V.S., ..., Sergeev A.V, two co-authors.
1/n-expansion and scaling for the Stark effect in
Rydberg atoms. Phys. Lett.A, 1990, 149, 425 - 430.
(12.7) Vainberg V.M., ..., Sergeev A.V., two co-authors.
1/n- expansion for a hydrogen atom in external
field. Zhurnal eksperimentalnoi i teoreticheskoi
fiziki, 1990, 98, 847 - 860.
(12.8) Popov V.S., ..., Sergeev A.V., two co-authors.
Quantization rules with barrier penetrability
included. J.Moscow Phys.Soc., 1991, 1, 15 - 31.
(12.9) Popov V.S., ..., Sergeev A.V., two co-authors.
Generalization of Gamov formala on multidimensional
case. Pisma v Zhurnal eksperimentalnoi i
teoreticheskoi fiziki, 1991, 53, 433 - 436.
(12.10) Popov V.S., ..., Sergeev A.V., two co-authors.
Quantization rules including barrier
penetrability. Zhurnal eksperimentalnoi i
teoreticheskoi fiziki, 1991, 100, 20 - 44.
(12.11) Mur V.D., ..., Sergeev A.V., two co-authors.
Generalization of Gamov formala on multidimensional
case. Yadernaya fizika, 1991, 54, 950 - 961.
(12.12) Sergeev A.V. Positron-nucleus resonances in
electric and magnetic fields. Yadernaya fizika, 1991,
54, 1225 - 1231.
(12.13) Popov V.S., Sergeev A.V., ..., two co-authors.
Structure of high orders of 1/n-expansion.
Zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1992,
102, 1453 - 1468.
(12.14) Popov V.S., Sergeev A.V., one co-author. Large
orders of the 1/n expansion in quantum mechanics. Physics
Letters A, 1993, 172, 193 - 198.
(13.1) Sergeev A.V., ..., one co-author. Higher
orders and structure of perturbation-theory series for
screened Coulomb potential. Zhurnal eksperimentalnoi i
teoreticheskoi fiziki, 1982, 82, 1070 - 1078.
(13.2) Sergeev A.V. Recursive algorithm for Pade -
Hermite approximants. Zhournal vychislitel'noi
matematiki i matematicheskoi fiziki, 1986, 26, 348 - 356.
(13.3) Vainberg V.M., ..., Sergeev A.V., three co-authors.
The hydrogen atom in a strong electric field.
Zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1987,
93, 450 - 462.
(14) 21.
(15.1) Sergeev A.V. Resonances in a positron+proton
system coupled by means of external electric and magnetic
fields. Fourth European Conference on Atomic and
Molecular Physics. Riga, Latvia 6 - 10 April 1992, Book of
Abstracts, Part 1 (Europhysics conference abstracts, Volume
16B, Part 1), p. 112 (poster).
(16) Mathematical methods in quantum mechanics; perturbation
theory in atomic physics; summation of divergent series. We
developed semiclassical methods for calculating the
energies and the widths of bound and exited (especially
Rydberg) states for screened Coulomb potentials, Stark and
Zeeman effects, helium-like ions, and two-centre-Coulomb
problem. We have been investigated strong-field Stark effect
in a hydrogen atom. I am involved in mathematical aspects of
the work. I have contributed in developing special summation
procedures and in generalization of dimensional expansions
on few-particle systems. Now we are looking for asymptotics
of large orders of coefficients in 1/N-expansion.
(17.1) Demkov Yu.N., Professor, Department of Theoretical
Physics, Institute of Physics, Leningrad State University,
Ul'yanovskaya ul. 1, Staryi Petergof, Saint Petersburg, 198904
Russian Federation; flat 27, ul. Kronverkskaya 29/37, Saint
Petersburg,197101 Russian Federation; telephone 232-02-67 (home).
(17.2) Popov V.S., Professor, Institute of Theoretical and
Experimental Physics, Bol'shaya Cheriomushkinskaya 25,
Moskow, 117259 Russian Federation; flat 230, Bakinskaya yl. 29,
Moskow, 115541 Russian Federation; telephone: 127-96-14 (office),
438-40-64 and 327-97-61 (home).
(18) I have a right to apply for individual grant since I
did not work abroad in 1992 and my income in 1992 did not
exceed the sum of $1500 or its equivalent.

17.03.1993                   Signature:

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