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Perelomov, Askol'd Mikhailovich
Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 42

Number of views:
This page:1807
Abstract pages:21626
Full texts:10014
References:2021
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https://www.mathnet.ru/eng/person19378
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https://mathscinet.ams.org/mathscinet/MRAuthorID/207837

Publications in Math-Net.Ru Citations
2022
1. A. M. Perelomov, “Euler's difference table and the decomposition of tensor powers of the adjoint representation of the $A_n$ Lie algebra”, TMF, 213:3 (2022),  413–417  mathnet  mathscinet; Theoret. and Math. Phys., 213:3 (2022), 1665–1668  scopus
2008
2. J. Fernández-Núñez, W. Garcia Fuertes, A. M. Perelomov, “Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero–Sutherland model related to the exceptional algebra $E_7$”, TMF, 154:2 (2008),  283–293  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 154:2 (2008), 240–249  isi  scopus 2
2004
3. A. M. Perelomov, “Hypergeometric Solutions of Some Algebraic Equations”, TMF, 140:1 (2004),  3–13  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 140:1 (2004), 895–904  isi 6
2002
4. A. M. Perelomov, “Kovalevskaya Top: An Elementary Approach”, TMF, 131:2 (2002),  197–205  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 131:2 (2002), 612–620  isi 10
5. W. Garcia Fuertes, A. M. Perelomov, “Derivatives of Generalized Gegenbauer Polynomials”, TMF, 131:2 (2002),  194–196  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 131:2 (2002), 609–611  isi 8
2000
6. A. M. Perelomov, “A remark on the matrix Airy function”, TMF, 123:2 (2000),  308–310  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 123:2 (2000), 671–672  isi
1998
7. E. Pelantova, A. M. Perelomov, “Diophantine equations related to quasicrystals: A note”, TMF, 115:3 (1998),  477–480  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 115:3 (1998), 737–739  isi 3
1994
8. B. Z. Moroz, A. M. Perelomov, “On a problem posed by Pauli”, TMF, 101:1 (1994),  60–65  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 101:1 (1994), 1200–1204  isi 18
1989
9. A. Yu. Morozov, A. M. Perelomov, “Complex geometry and string theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 54 (1989),  197–279  mathnet  mathscinet  zmath
10. Ya. I. Kogan, D. G. Markushevich, A. Yu. Morozov, M. A. Olshanetsky, A. M. Perelomov, A. A. Roslyi, “Some examples of instantons in sigma models”, TMF, 79:2 (1989),  185–197  mathnet  mathscinet; Theoret. and Math. Phys., 79:2 (1989), 470–478  isi
1988
11. D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and coxeter automorphisms. II”, TMF, 77:3 (1988),  352–368  mathnet  mathscinet; Theoret. and Math. Phys., 77:3 (1988), 1247–1259  isi
12. D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I”, TMF, 77:2 (1988),  212–223  mathnet  mathscinet; Theoret. and Math. Phys., 77:2 (1988), 1152–1160  isi 1
1987
13. D. V. Alekseevskii, A. M. Perelomov, “Kähler–Einstein metrics in holomorphic bundles”, Funktsional. Anal. i Prilozhen., 21:2 (1987),  66–67  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:2 (1987), 144–146  isi 1
14. M. A. Olshanetsky, A. M. Perelomov, A. G. Reiman, M. A. Semenov-Tian-Shansky, “Integrable systems. II”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987),  86–226  mathnet  mathscinet  zmath 30
1986
15. D. V. Alekseevskii, A. M. Perelomov, “Invariant Kähler–Einstein metrics on compact homogeneous spaces”, Funktsional. Anal. i Prilozhen., 20:3 (1986),  1–16  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:3 (1986), 171–182  isi 51
1984
16. S. A. Kamalin, A. M. Perelomov, “Construction of canonical coordinates on orbits of the coadjoint representation of graded Lie groups”, Funktsional. Anal. i Prilozhen., 18:3 (1984),  80–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 18:3 (1984), 248–250  isi
1982
17. A. M. Perelomov, “A Lax representation for systems of S. Kovalevskaya type”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  80–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 143–144  isi 1
1981
18. A. M. Perelomov, “Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid”, Funktsional. Anal. i Prilozhen., 15:2 (1981),  83–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:2 (1981), 144–146  isi 25
19. A. M. Perelomov, “Solutions of the instanton type in chiral models”, UFN, 134:4 (1981),  577–609  mathnet; Phys. Usp., 24:8 (1981), 645–661 40
1980
20. F. A. Berezin, A. M. Perelomov, “Group theoretic interpretation of equations of Korteweg - de Vries type”, Funktsional. Anal. i Prilozhen., 14:2 (1980),  50–51  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:2 (1980), 119–121 2
21. M. A. Olshanetsky, A. M. Perelomov, “The Toda chain as a reduced system”, TMF, 45:1 (1980),  3–18  mathnet  mathscinet; Theoret. and Math. Phys., 45:1 (1980), 843–854  isi 15
1978
22. M. A. Olshanetsky, A. M. Perelomov, “Quantum systems related to root systems, and radial parts of Laplace operators”, Funktsional. Anal. i Prilozhen., 12:2 (1978),  57–65  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:2 (1978), 121–128 33
1977
23. M. A. Olshanetsky, A. M. Perelomov, “Explicit solutions of some completely integrable Hamiltonian systems”, Funktsional. Anal. i Prilozhen., 11:1 (1977),  75–76  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:1 (1977), 66–68 7
24. A. M. Perelomov, “Generalized coherent states and some of their applications”, UFN, 123:1 (1977),  23–55  mathnet; Phys. Usp., 20:9 (1977), 703–720 308
1976
25. M. A. Olshanetsky, A. M. Perelomov, “Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized calogero model for the classical case”, Funktsional. Anal. i Prilozhen., 10:3 (1976),  86–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:3 (1976), 237–239 9
1974
26. M. I. Monastyrskii, A. M. Perelomov, “Coherent states for groups of motions of symmetric spaces”, Dokl. Akad. Nauk SSSR, 218:3 (1974),  547–549  mathnet  mathscinet
27. A. M. Perelomov, “Creation of fermion pairs in a homogeneous alternating external field”, TMF, 19:1 (1974),  83–96  mathnet  mathscinet; Theoret. and Math. Phys., 19:1 (1974), 368–377 15
1973
28. A. M. Perelomov, “Coherent states for the Lobachevskian plane”, Funktsional. Anal. i Prilozhen., 7:3 (1973),  57–66  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:3 (1973), 215–222 3
29. A. M. Perelomov, “Boson pair production in an alternating external field”, TMF, 16:3 (1973),  303–314  mathnet; Theoret. and Math. Phys., 16:3 (1973), 852–860 17
30. A. M. Perelomov, V. S. Popov, “Variational principle for critical charge”, TMF, 14:1 (1973),  18–26  mathnet; Theoret. and Math. Phys., 14:1 (1973), 12–18 2
1972
31. M. I. Monastyrskii, A. M. Perelomov, “Coherent states and bounded homogeneous domains”, Dokl. Akad. Nauk SSSR, 207:6 (1972),  1303–1305  mathnet  mathscinet  zmath 5
32. A. M. Perelomov, “Coherent states and theta functions”, Funktsional. Anal. i Prilozhen., 6:4 (1972),  47–57  mathnet  mathscinet; Funct. Anal. Appl., 6:4 (1972), 292–300 2
1971
33. A. M. Perelomov, “Algebraic approach to the solution of a one-dimensional model of $N$ interacting particles”, TMF, 6:3 (1971),  364–391  mathnet; Theoret. and Math. Phys., 6:3 (1971), 285–282 38
34. A. M. Perelomov, “On the completeness of a system of coherent states”, TMF, 6:2 (1971),  213–224  mathnet  mathscinet; Theoret. and Math. Phys., 6:2 (1971), 156–164 111
1970
35. A. M. Perelomov, V. S. Popov, ““Fall to the center” in quantum mechanics”, TMF, 4:1 (1970),  48–65  mathnet; Theoret. and Math. Phys., 4:1 (1970), 664–677 66
36. A. M. Perelomov, V. S. Popov, “Method of generating functions for a quantum oscillator”, TMF, 3:3 (1970),  377–391  mathnet; Theoret. and Math. Phys., 3:3 (1970), 582–592 12
1969
37. A. M. Perelomov, V. S. Popov, “Group-theoretical aspects of the variable frequency oscillator problem”, TMF, 1:3 (1969),  360–374  mathnet  mathscinet; Theoret. and Math. Phys., 1:3 (1969), 275–285 33
1968
38. A. M. Perelomov, V. S. Popov, ““Latent” symmetry of Kepler's relativistic problem”, Dokl. Akad. Nauk SSSR, 181:2 (1968),  320–323  mathnet
39. A. M. Perelomov, V. S. Popov, “Casimir operators for semisimple Lie groups”, Izv. Akad. Nauk SSSR Ser. Mat., 32:6 (1968),  1368–1390  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:6 (1968), 1313–1335 41
1967
40. V. S. Popov, A. M. Perelomov, “A generating function for Casimir operators”, Dokl. Akad. Nauk SSSR, 174:5 (1967),  1021–1023  mathnet  mathscinet  zmath 1
41. A. M. Perelomov, V. S. Popov, “Casimir operators for the classical groups”, Dokl. Akad. Nauk SSSR, 174:2 (1967),  287–290  mathnet  mathscinet  zmath 4
1962
42. A. M. Perelomov, “Possible determination of additional characteristics of an unstable particle”, Dokl. Akad. Nauk SSSR, 146:1 (1962),  75–78  mathnet  mathscinet 1
2000
43. A. M. Perelomov, “A Note on Geodesics on Ellipsoid”, Regul. Chaotic Dyn., 5:1 (2000),  89–94  mathnet  mathscinet  zmath 5

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