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Sokolov, Andrey Vladimirovich
Total publications: 24 (24)
in MathSciNet: 19 (19)
in zbMATH: 15 (15)
in Web of Science: 6 (6)
in Scopus: 16 (16)
Cited articles: 16
Citations: 280

Number of views:
This page:3109
Abstract pages:2924
Full texts:770
References:454
Associate professor
Candidate of physico-mathematical sciences (2008)
Speciality: 01.04.02 (Theoretical physics)
E-mail:
Keywords: Supersymmetry, hidden symmetry, isospectral transformation, non-Hermitian matrix Hamiltonian, spectral design, asymptotic expansion, sound field, moving source

Subject:

Supersymmetric quantum mechanics, isospectral transformations, non-Hermitian operators, asymptotic methods, sound field of a moving source
   
Main publications:
  1. A.A. Andrianov, A.V. Sokolov, “Nonlinear supersymmetry in Quantum Mechanics: algebraic properties and differential representation”, Nuclear Physics B, 660:1-2 (2003), 25–50
  2. A.V. Sokolov, A.A. Andrianov, F. Cannata, “Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states”, Journal of Physics A: Mathematical and General, 39:32 (2006), 10207–10227
  3. A.A. Andrianov, F. Cannata, A.V. Sokolov, “Non-linear supersymmetry for non- Hermitian, non-diagonalizable Hamiltonians: I. General properties”, Nuclear Physics B, 773:3 (2007), 107–136
  4. A.A. Andrianov, F. Cannata, A.V. Sokolov, “Spectral singularities for non-Hermitian one-dimensional Hamiltonians: Puzzles with resolution of identity”, Journal of Mathematical Physics, 51:5 (2010), 052104_1-22
  5. A.A. Andrianov, A.V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: General classification of reducibility and analysis of the third-order algebra”, Journal of Mathematical Sciences, 143:1 (2007), 2707–2722

https://www.mathnet.ru/eng/person33584
https://scholar.google.com/citations?user=ZzLAtCAAAAAJ&hl=en
https://zbmath.org/authors/ai:sokolov.andrey-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/274043
https://elibrary.ru/author_items.asp?spin=3901-5356
https://orcid.org/0000-0002-2561-4610
https://www.webofscience.com/wos/author/record/H-4727-2013
https://www.scopus.com/authid/detail.url?authorId=14057018500
https://arxiv.org/a/sokolov_a_1
inSPIRE personal page (High Energy Physics (HEP) information system)

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2016
1. A. A. Andrianov, A. V. Sokolov, “Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics”, Theoret. and Math. Phys., 186:1 (2016), 2–20 http://link.springer.com/article/10.1134/S0040577916010025  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2015
2. A. A. Andrianov, A. V. Sokolov, “Minimal realizations of supersymmetry for matrix Hamiltonians”, Physics Letters A, 379:4 (2015), 279–283 http://www.sciencedirect.com/science/article/pii/S0375960114011992, arXiv: 1409.6695  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 6
3. A. V. Sokolov, “Spectral design for matrix Hamiltonians: different methods of constructing of a matrix intertwining operator”, Journal of Physics A: Mathematical and Theoretical, 48:8 (2015), 085202 , 39 pp. http://iopscience.iop.org/article/10.1088/1751-8113/48/8/085202/meta, arXiv: 1406.0191  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4

   2013
4. A. V. Sokolov, “Polynomial supersymmetry for matrix Hamiltonians”, Physics Letters A, 377:9 (2013), 655–662 http://www.sciencedirect.com/science/article/pii/S037596011300025X, arXiv: 1307.4449  crossref  mathscinet  zmath  adsnasa  elib  scopus 7

   2011
5. Andrey V. Sokolov, “Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs”, Supersymmetric Quantum Mechanics and Spectral Design (Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain, 18 – 30 July 2010), SIGMA, 7, 2011, 112–16 http://www.sigma-journal.com/2011/112/, arXiv: 1107.5916  mathnet  crossref  mathscinet  isi  elib  scopus 7
6. Alexander A. Andrianov, Andrey V. Sokolov, “Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum”, Supersymmetric Quantum Mechanics and Spectral Design (Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain, 18 – 30 July 2010), SIGMA, 7, 2011, 111–19 http://www.sigma-journal.com/2011/111/, arXiv: 1107.5911  mathnet  crossref  mathscinet  isi  elib  scopus 14

   2010
7. A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics III: precise classification of irreducible intertwining operators”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 213–249 http://www.pdmi.ras.ru/znsl/2010/v374/abs213.html  mathnet
8. A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. III: precise classification of irreducible intertwining operators”, Journal of Mathematical Sciences, 168:6 (2010), 881–900 http://link.springer.com/article/10.1007/s10958-010-0035-6  crossref  mathscinet  zmath  elib  scopus 8
9. A. A. Andrianov, F. Cannata, A. V. Sokolov, “Spectral singularities for non-Hermitian one-dimensional Hamiltonians: Puzzles with resolution of identity”, Journal of Mathematical Physics, 51:5 (2010), 052104 , 22 pp. http://scitation.aip.org/content/aip/journal/jmp/51/5/10.1063/1.3422523, arXiv: 1002.0742  crossref  mathscinet  zmath  adsnasa  elib  scopus 25

   2009
10. Alexander A. Andrianov, Andrey V. Sokolov, “Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics”, 7th International Workshop “Quantum Physics with Non-Hermitian Operators (PHHQP 7)” (Centro de Ciencias de Benasque Pedro Pascual, Benasque, Spain, 29 June – 11 July 2008), SIGMA, 5, 2009, 64–26 http://www.sigma-journal.com/2009/064/, arXiv: 0906.0549  mathnet  crossref  mathscinet  isi  elib  scopus 12

   2008
11. A. V. Sokolov, Kvantovaya mekhanika s nelineinoi supersimmetriei dlya odnomernykh ermitovykh i neermitovykh gamiltonianov, dissertatsiya na soiskanie stepeni k.f.-m.n., predzaschita v 2007 godu, Sankt-Peterburgskii gosudarstvennyi universitet, Sankt-Peterburg, 2008 , 131 pp. http://dlib.rsl.ru/01004132677  elib
12. A. V. Sokolov, Kvantovaya mekhanika s nelineinoi supersimmetriei dlya odnomernykh ermitovykh i neermitovykh gamiltonianov, avtoreferat dissertatsii, 2008 http://dlib.rsl.ru/01003448448  elib
13. A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. II: Proofs of theorems on reducibility”, J. Math. Sci. (N. Y.), 151:2 (2008), 2924–2936 http://link.springer.com/article/10.1007/s10958-008-9009-3, arXiv: 0903.2835  mathnet  crossref  mathscinet  adsnasa  elib  elib  scopus

   2007
14. A. A. Andrianov, F. Cannata, A. V. Sokolov, “Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties”, Nuclear Physics B, 773:3 (2007), 107–136 http://www.sciencedirect.com/science/article/pii/S0550321307002064, arXiv: math-ph/0610024  crossref  mathscinet  zmath  adsnasa  elib  scopus 34
15. A. V. Sokolov, “Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results”, Nuclear Physics B, 773:3 (2007), 137–171 http://www.sciencedirect.com/science/article/pii/S0550321307002076, arXiv: math-ph/0610022  crossref  mathscinet  zmath  adsnasa  elib  scopus 13
16. A. A. Andrianov, A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. I: General classification of reducibility and analysis of the third-order algebra”, J. Math. Sci. (N. Y.), 143:1 (2007), 2707–2722 http://link.springer.com/article/10.1007/s10958-007-0158-6, arXiv: 0710.5738  mathnet  crossref  mathscinet  zmath  adsnasa  elib  elib  scopus

   2006
17. A. V. Sokolov, A. A. Andrianov, F. Cannata, “Non-Hermitian quantum mechanics of non-diagonalizable Hamiltonians: puzzles with self-orthogonal states”, Journal of Physics A: Mathematical and General, 39:32 (2006), 10207–10227 http://iopscience.iop.org/article/10.1088/0305-4470/39/32/S20/meta, arXiv: quant-ph/0602207  crossref  mathscinet  zmath  adsnasa  elib  scopus 40

   2004
18. A. A. Andrianov, A. V. Sokolov, “Nonlinear Supersymmetry in Quantum Mechanics”, 5th International Conference “Symmetry in Nonlinear Mathematical Physics” (Institute of Mathematics of NAS of Ukraine, Kiev, Ukraine, 23 – 29 June 2003), Proceedings of Institute of Mathematics of NAS of Ukraine, 50, Part 2, 2004, 539–546 http://www.imath.kiev.ua/~snmp2003/Proceedings/sokolov.pdf  zmath

   2003
19. A. A. Andrianov, A. V. Sokolov, “Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential representation”, Nuclear Physics B, 660:1–2 (2003), 25–50 http://www.sciencedirect.com/science/article/pii/S0550321303002323, arXiv: hep-th/0301062  crossref  mathscinet  zmath  adsnasa  elib  scopus 82

   2002
20. A. V. Sokolov, “Uniform asymptotic expansions of some integrals with two branching points in the neighborhood of a saddle point”, Comput. Math. Math. Phys., 42:5 (2002), 599–611  mathnet  mathscinet  zmath  elib

   2003
21. A. V. Sokolov, “The Sound Field of a Source That Executes in a Liquid Layer a Motion Represented as the Sum of a Subsonic Uniform Rectilinear Motion and a Periodic Motion. Exact (Explicit) Solutions”, J. Math. Sci. (N. Y.), 117:2 (2003), 4020–4027 http://link.springer.com/article/10.1023/A  mathnet  crossref  mathscinet  zmath

   1999
22. A. V. Sokolov, “Ravnomernye asimptoticheskie razlozheniya nekotorykh integralov s dvumya tochkami vetvleniya. I”, Vestnik SPbGU, seriya 1 (matematika, mekhanika, astronomiya), 1:1 (1999), 40–45  zmath  scopus
23. A. V. Sokolov, “Uniform asymptotic expansions of certain integrals with two branch points I”, Vestnik St. Petersburg University: Mathematics, 32:1 (1999), 37–42  mathscinet  zmath  scopus
24. V. S. Buldyrev, A. V. Sokolov, A. S. Starkov, “The acoustic field of a high-frequency source moving in a waveguide”, J. Math. Sci. (New York), 96:4 (1999), 3327–3331 http://link.springer.com/article/10.1007/BF02172808  mathnet  crossref  mathscinet  zmath

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