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Damaskinsky, Eugeniy Viktorovich
(1944–2022)
Statistics Math-Net.Ru
Total publications: 38
Scientific articles: 37

Number of views:
This page:885
Abstract pages:10181
Full texts:3800
References:1159
Associate professor
Candidate of physico-mathematical sciences (1975)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 26.07.1944
Keywords: quantum groups, deformed oscillators, coherent states.

Subject:

Mathematical Physics, Theoretical Physics, Quantum optics.

https://www.mathnet.ru/eng/person21107
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/237810
https://elibrary.ru/author_items.asp?authorid=6300

Publications in Math-Net.Ru Citations
2020
1. V. V. Borzov, E. V. Damaskinskiy, “Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator”, Zap. Nauchn. Sem. POMI, 494 (2020),  75–102  mathnet
2. V. V. Borzov, E. V. Damaskinskiy, “Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials”, Zap. Nauchn. Sem. POMI, 493 (2020),  73–87  mathnet
2019
3. V. V. Borzov, E. V. Damaskinsky, “Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator”, TMF, 200:3 (2019),  494–506  mathnet  mathscinet  elib; Theoret. and Math. Phys., 200:3 (2019), 1348–1359  isi  scopus 5
2018
4. E. V. Damaskinskiy, M. A. Sokolov, “On differential operators for Chebyshev polynomials of several variables”, Zap. Nauchn. Sem. POMI, 473 (2018),  99–109  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 651–657  scopus
2017
5. E. V. Damaskinsky, M. A. Sokolov, “The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$”, TMF, 192:2 (2017),  207–220  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:2 (2017), 1115–1128  isi  scopus 2
6. V. V. Borzov, E. V. Damaskinsky, “Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials”, TMF, 190:2 (2017),  267–276  mathnet  mathscinet  elib; Theoret. and Math. Phys., 190:2 (2017), 228–236  isi  scopus 2
2015
7. V. V. Borzov, E. V. Damaskinsky, “Orthogonal polynomials and deformed oscillators”, TMF, 185:1 (2015),  68–76  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1417–1424  isi  scopus 1
8. V. V. Borzov, E. V. Damaskinsky, “The discrete spectrum of Jacobi matrix related to recurrence relations with periodic coefficients”, Zap. Nauchn. Sem. POMI, 433 (2015),  111–130  mathnet  mathscinet; J. Math. Sci. (N. Y.), 213:5 (2016), 694–705  scopus
2013
9. V. V. Borzov, E. V. Damaskinsky, “Chebyshev–Koornwinder oscillator”, TMF, 175:3 (2013),  379–387  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 763–770  isi  elib  scopus 8
2012
10. V. V. Borzov, E. V. Damaskinsky, “Differential equations for the elementary 3-symmetric Chebyshev polynomials”, Zap. Nauchn. Sem. POMI, 398 (2012),  64–86  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:1 (2013), 37–49  scopus 1
2011
11. V. V. Borzov, E. V. Damaskinsky, “$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator”, TMF, 169:2 (2011),  229–240  mathnet  mathscinet; Theoret. and Math. Phys., 169:2 (2011), 1561–1572  isi  scopus 4
2010
12. V. V. Borzov, E. V. Damaskinsky, “Composite model for generalized oscillator. I”, Zap. Nauchn. Sem. POMI, 374 (2010),  58–81  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 789–804  scopus 3
2008
13. V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for oscillators associated with the Charlier $q$-polynomials”, TMF, 155:1 (2008),  39–46  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 155:1 (2008), 536–543  isi  scopus 3
2006
14. V. V. Borzov, E. V. Damaskinsky, “Coherent states for generalized oscillator in finite-dimensional Hilbert space”, Zap. Nauchn. Sem. POMI, 335 (2006),  75–99  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:1 (2007), 2738–2753  scopus 7
2004
15. V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for oscillators connected with Meixner and Meixner–Pollachek polynomials”, Zap. Nauchn. Sem. POMI, 317 (2004),  66–93  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:1 (2006), 3564–3579 7
16. V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states for $q$-oscillator connected with discrete $q$-Hermite polynomials”, Zap. Nauchn. Sem. POMI, 308 (2004),  48–66  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:1 (2006), 26–36 17
2003
17. V. V. Borzov, E. V. Damaskinsky, “Generalized coherent states: a novel approach”, Zap. Nauchn. Sem. POMI, 300 (2003),  65–71  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2711–2715 5
2002
18. A. A. Stolin, P. P. Kulish, E. V. Damaskinsky, “On construction of universal twist element from R-matrix”, Zap. Nauchn. Sem. POMI, 291 (2002),  228–244  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 229–238 6
19. E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, “Unified quantization of three-dimensional bialgebras”, Zap. Nauchn. Sem. POMI, 291 (2002),  169–184  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 193–202 2
20. V. V. Borzov, E. V. Damaskinsky, “Barut–Girardello Coherent states for the Gegenbauer oscillator”, Zap. Nauchn. Sem. POMI, 291 (2002),  43–63  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 123–135 8
21. V. V. Borzov, E. V. Damaskinsky, “Coherent states for the Legendre oscillator”, Zap. Nauchn. Sem. POMI, 285 (2002),  39–52  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 122:5 (2004), 3473–3481 10
2000
22. E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, “On the structure of coboundary $R$-matrices for classical series”, Zap. Nauchn. Sem. POMI, 269 (2000),  193–206  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1994–2001 3
23. E. V. Damaskinsky, P. P. Kulish, “Symmetries related to Yang–Baxter equation and reflection equations”, Zap. Nauchn. Sem. POMI, 269 (2000),  180–192  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1986–1993 4
1998
24. E. V. Damaskinsky, P. P. Kulish, M. Chaichian, “Dynamic systems related to the Cremmer–Gervais $R$-matrix”, TMF, 116:1 (1998),  101–112  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 116:1 (1998), 820–828  isi 4
1997
25. E. V. Damaskinsky, M. A. Sokolov, “$q$-Bosonization of orthogonal and symplectic quantum groups”, Zap. Nauchn. Sem. POMI, 245 (1997),  166–172  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2116–2119
26. V. V. Borzov, E. V. Damaskinsky, S. B. Egorov, “Representations of the deformed oscillator algebra under different choices of generators”, Zap. Nauchn. Sem. POMI, 245 (1997),  80–106  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2061–2076 18
1995
27. E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, “Gauss decomposition for quantum groups and supergroups”, Zap. Nauchn. Sem. POMI, 224 (1995),  155–177  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 208–223 10
1994
28. E. V. Damaskinsky, “Quantum Heisenberg group and reflection equations. I”, Zap. Nauchn. Sem. POMI, 209 (1994),  28–36  mathnet  mathscinet  zmath; J. Math. Sci., 83:1 (1997), 16–21
1992
29. E. V. Damaskinsky, P. P. Kulish, “$q$-Hermite polynomials and $q$-oscillators”, Zap. Nauchn. Sem. POMI, 199 (1992),  81–90  mathnet  mathscinet  zmath; J. Math. Sci., 77:2 (1995), 3069–3075 11
1991
30. E. V. Damaskinsky, P. P. Kulish, “Deformed oscillators and their applications”, Zap. Nauchn. Sem. LOMI, 189 (1991),  37–74  mathnet  mathscinet  zmath; J. Soviet Math., 62:5 (1992), 2963–2986 36
1988
31. E. V. Damaskinsky, “Calculation of Berry's phase in squeezed states”, Zap. Nauchn. Sem. LOMI, 169 (1988),  51–59  mathnet
1985
32. E. V. Damaskinsky, “Spontaneously broken phase and Galilei transformations in Weyl systems”, Zap. Nauchn. Sem. LOMI, 145 (1985),  72–85  mathnet  mathscinet  zmath
1979
33. A. L. Alimov, E. V. Damaskinsky, “Self-adjoint phase operator”, TMF, 38:1 (1979),  58–70  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 38:1 (1979), 39–47 5
1974
34. E. V. Damaskinsky, “Euclidean-covariant representations of the nonrelativisitic current group”, TMF, 20:2 (1974),  170–176  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 20:2 (1974), 745–750 1
1973
35. E. V. Damaskinsky, “Invariant Weyl systems that are not $U$-cyclic (note on Hegerfeldt and Melsheimer's paper)”, TMF, 15:2 (1973),  221–226  mathnet  zmath; Theoret. and Math. Phys., 15:2 (1973), 477–481 1
36. E. V. Damaskinsky, “$O$-invariant $U$-cyclic Weyl systems”, TMF, 15:1 (1973),  70–77  mathnet  mathscinet; Theoret. and Math. Phys., 15:1 (1973), 365–370 2
1970
37. A. A. Grib, E. V. Damaskinsky, V. M. Maksimov, “The problem of symmetry breaking and in variance of the vacuum in quantum field theory”, UFN, 102:4 (1970),  587–620  mathnet; Phys. Usp., 13:6 (1971), 798–815 37
2004
38. N. M. Bogolyubov, E. V. Damaskinsky, “Kulish Petr Petrovich”, Zap. Nauchn. Sem. POMI, 317 (2004),  7–10  mathnet  mathscinet  zmath

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