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Andrianov, Aleksandr Andreevich

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Total publications: 44
Scientific articles: 44

Number of views:
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Abstract pages:7963
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References:897
Professor
Doctor of physico-mathematical sciences (1986)
Speciality: 01.04.02 (Theoretical physics)
Phone: +7 (812) 428 45 53
Fax: +7 (812) 428 72 40
E-mail: , ,,
Keywords: quantum theory, particles, fields, branes, supersymmetry, cosmology, isospectral transformations.
UDC: 517.9, 530.145, 539.125, 539.12

Subject:

Quantum theory of fields and branes, supersymmetric quantum mechanics, mathematical aspects of cosmology, isospectral transformations, non-Hermitian operators, path integrals.

   
Main publications:
  • Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: general classification of reducibility and analysis of the third-order algebra. By A. A. Andrianov & A. V. Sokolov. J. Math. Sci. 143, 2707–2722, 2007. [arXiv:0710.5738]
  • On the stability of thick brane worlds non-minimally coupled to gravity. By A. A. Andrianov & Luca Vecchi. Phys. Rev. D 77, 044035, 2008. [arXiv:0711.1955]
  • Dual oscillators and Quantum Pendulums: spectrum and correlators. By A. A. Andrianov. Phys. Rev. D 76, 025003, 2007. [hep-th/0703052]
  • Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I. General properties. A. A. Andrianov, F. Cannata, A. V. Sokolov. Nucl. Phys. B 773, 107–136, 2007. [math-ph/0610024]
  • Complex Lagrangians and phantom cosmology. By A. A. Andrianov, F. Cannata, A. Y. Kamenshchik. J. Phys. A 39, 9975–9982, 2006. [gr-qc/0604126]
  • Non-Hermitian quantum mechanics of non-diagonalizable Hamiltonians: Puzzles with self-orthogonal states. By A. V. Sokolov, A. A. Andrianov, F. Cannata. J. Phys. A 39, 10207–10228, 2006. [quant-ph/0602207]
  • Chiral dynamics from the hadronic string: General formalism. By A. A. Andrianov, D. Espriu, A. Prats. Int. J. Mod. Phys. A 21, 3337–3366, 2006. [hep-th/0507212]
  • Smooth dynamical crossing of the phantom divide line of a scalar field in simple cosmological models. By Alexander A. Andrianov, Francesco Cannata, Alexander Y. Kamenshchik. Phys. Rev. D 72, 043531, 2005. [gr-qc/0505087]
  • Brane world generation by matter and gravity. By A. A. Andrianov, V. A. Andrianov, P. Giacconi, R. Soldati. JHEP 0507, 003, 2005. [hep-th/0503115]
  • Nonlinear supersymmetry in quantum mechanics: Algebraic properties and differential representation. By A. A. Andrianov & A. V. Sokolov. Nucl. Phys. B 660, 25–50, 2003. [hep-th/0301062]

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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/208667

Publications in Math-Net.Ru
2017
1. A. A. Andrianov, V. A. Andrianov, D. Espriu, S. S. Kolevatov, “Influence of the pseudoscalar condensate gradient on the cooling regime of compact stars”, TMF, 190:2 (2017),  207–225  mathnet  mathscinet  elib; Theoret. and Math. Phys., 190:2 (2017), 177–192  isi  scopus
2016
2. A. A. Andrianov, A. V. Sokolov, “Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics”, TMF, 186:1 (2016),  5–26  mathnet  mathscinet  elib; Theoret. and Math. Phys., 186:1 (2016), 2–20  isi  scopus
2015
3. A. A. Andrianov, V. A. Andrianov, “Bosonization of the meson sector of QCD and parity breaking in strong interactions”, TMF, 185:1 (2015),  12–27  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1370–1382  isi  scopus
4. A. A. Andrianov, D. Espriu, S. S. Kolevatov, “Search for parity violation in cosmic rays”, TMF, 184:3 (2015),  392–397  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:3 (2015), 1234–1238  isi  scopus
5. A. A. Andrianov, O. O. Novikov, Chen Lan, “Quantum cosmology of multifield scalar matter: Some exact solutions”, TMF, 184:3 (2015),  380–391  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:3 (2015), 1224–1233  isi  scopus
6. A. A. Andrianov, S. S. Kolevatov, R. Soldati, “The functional squeeze operator algebra in Maxwell–Chern–Simons electrodynamics”, TMF, 184:3 (2015),  367–379  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:3 (2015), 1213–1223  isi  scopus
2013
7. A. A. Andrianov, S. S. Kolevatov, “Transmission of vector particles through the interface of a spatial parity-violating medium and the vacuum”, TMF, 175:3 (2013),  357–369  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 744–754  isi  elib  scopus
8. A. A. Andrianov, V. A. Andrianov, O. O. Novikov, “CP violation in the models of fermion localization on a domain wall (brane)”, TMF, 175:3 (2013),  347–356  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 735–743  isi  elib  scopus
9. A. A. Andrianov, V. A. Andrianov, “Spontaneous violation of spatial parity in dense baryonic matter in a generalized $U(2)_{\mathrm L}{\times}U(2)_{\mathrm R}$ sigma model”, TMF, 175:3 (2013),  337–346  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 727–734  isi  elib  scopus
2012
10. A. A. Andrianov, V. A. Andrianov, D. Espriu, X. Planells, “Abnormal enhancement of dilepton yield in central heavy-ion collisions from local parity breaking”, TMF, 170:1 (2012),  22–33  mathnet  mathscinet; Theoret. and Math. Phys., 170:1 (2012), 17–25  isi  scopus
2011
11. Alexander A. Andrianov, Andrey V. Sokolov, “Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum”, SIGMA, 7 (2011), 111, 19 pp.  mathnet  mathscinet  isi  scopus
12. A. A. Andrianov, M. A. Kurkov, “Black holes in the brane world: Some exact solutions”, TMF, 169:2 (2011),  307–322  mathnet  mathscinet; Theoret. and Math. Phys., 169:2 (2011), 1629–1642  isi  scopus
2010
13. A. A. Andrianov, V. A. Andrianov, A. V. Safonov, “Branes with asymmetric geometries in the bulk and localization of scalar fields”, Zap. Nauchn. Sem. POMI, 374 (2010),  28–43  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 772–780  scopus
2009
14. Alexander A. Andrianov, Andrey V. Sokolov, “Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics”, SIGMA, 5 (2009), 064, 26 pp.  mathnet  mathscinet  isi  scopus
2007
15. A. A. Andrianov, V. A. Andrianov, P. Giacconi, R. Rodenberg, R. Soldati, “Standard model of fermions on domain wall in five dimension space-time”, Zap. Nauchn. Sem. POMI, 347 (2007),  5–29  mathnet  mathscinet; J. Math. Sci. (N. Y.), 151:2 (2008), 2801–2812  scopus
2006
16. A. A. Andrianov, V. A. Andrianov, P. Giacconi, R. Soldati, “Induced gravity and universe creation on the domain wall in five-dimensional space-time”, TMF, 148:1 (2006),  4–22  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 148:1 (2006), 880–894  isi  scopus
17. A. A. Andrianov, A. V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics I: general classification of reducibility and analysis of third-order algebra”, Zap. Nauchn. Sem. POMI, 335 (2006),  22–49  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:1 (2007), 2707–2722  elib  scopus
18. A. A. Andrianov, V. A. Andrianov, S. S. Afonin, “Dynamical $CP$-violation in quasilocal quark models at nonzero chemical potential”, Zap. Nauchn. Sem. POMI, 335 (2006),  5–21  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:1 (2007), 2697–2706  scopus
2004
19. A. A. Andrianov, V. A. Andrianov, P. Giacconi, R. Soldati, “Localization of light particles on Fermion induced domain Walls”, Zap. Nauchn. Sem. POMI, 317 (2004),  11–42  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:1 (2006), 3533–3551
2003
20. A. A. Andrianov, D. Espriu, “Strings and Pions”, TMF, 135:3 (2003),  355–369  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 135:3 (2003), 745–756  isi
2000
21. A. A. Andrianov, V. A. Andrianov, R. Rodenberg, “Two-point correlators of composite Higgs fields and chiral symmetry restoration”, Zap. Nauchn. Sem. POMI, 269 (2000),  62–78  mathnet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1921–1928
1998
22. A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “New integrable systems generated by a deformed supersymmetric algebra”, Zap. Nauchn. Sem. POMI, 251 (1998),  159–177  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:3 (2001), 1184–1194
23. A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, R. Rodenberg, “Two-Higgs Doublet Model from Quasilocal Quark Interactions”, Zap. Nauchn. Sem. POMI, 251 (1998),  115–158  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:3 (2001), 1157–1183
1997
24. A. A. Andrianov, F. Cannata, J. P. Dedonder, M. V. Ioffe, “Deformed supersymmetry, $q$-oscillator algebra and related scattering problems in quantum mechanics”, Zap. Nauchn. Sem. POMI, 245 (1997),  22–48  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2023–2038
25. A. A. Andrianov, V. A. Andrianov, “Determination of scalar meson masses in QCD-inspired quark models”, Zap. Nauchn. Sem. POMI, 245 (1997),  5–21  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2013–2022
1996
26. A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, “Fermion models with quasilocal interactions near polycritical point”, TMF, 108:2 (1996),  276–293  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 108:2 (1996), 1096–1082
1995
27. A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “Polynomial supersymmetry and dynamical symmetries in quantum mechanics”, TMF, 104:3 (1995),  463–478  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 104:3 (1995), 1129–1140  isi
28. A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “Higher-order supersymmetry in quantum mechanics and integrability of two-dimensional Hamiltonians”, Zap. Nauchn. Sem. POMI, 224 (1995),  68–80  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 150–158
29. A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, “Chiral bosonization of $U_A(1)$-currents and the energy-momentum tensor in quantum chromodynamics”, Zap. Nauchn. Sem. POMI, 224 (1995),  55–67  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 142–149
1994
30. A. A. Andrianov, V. A. Andrianov, “Effective fermion models near tricritical point”, Zap. Nauchn. Sem. POMI, 209 (1994),  5–19  mathnet  zmath; J. Math. Sci., 83:1 (1997), 1–10
1993
31. A. A. Andrianov, V. A. Andrianov, “Effective fermion models with dynamical symmetry breaking”, TMF, 94:1 (1993),  6–18  mathnet  zmath; Theoret. and Math. Phys., 94:1 (1993), 3–10  isi
1992
32. A. A. Andrianov, V. A. Andrianov, “Gauge Nambu–Jona-Lasinio model as a low-energy approximation of QCD”, TMF, 93:1 (1992),  67–86  mathnet; Theoret. and Math. Phys., 93:1 (1992), 1126–1137  isi
33. A. A. Andrianov, V. A. Andrianov, “Status of effective four-fermion interaction in the low-energy quantum chromodynamics”, Zap. Nauchn. Sem. POMI, 199 (1992),  3–24  mathnet  zmath; J. Math. Sci., 77:2 (1995), 3021–3032
1991
34. A. A. Andrianov, V. A. Andrianov, “On the stability of models with four-fermion interaction in the presence of vector fields”, Zap. Nauchn. Sem. LOMI, 189 (1991),  3–9  mathnet  mathscinet  zmath; J. Soviet Math., 62:5 (1992), 2943–2946
1990
35. A. A. Andrianov, V. A. Andrianov, A. N. Manashov, “An origin vertices dimension 4 in QCD-inspired chiral Lagrangians”, Zap. Nauchn. Sem. LOMI, 180 (1990),  9–22  mathnet  zmath; J. Math. Sci., 68:2 (1994), 169–176
1988
36. A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, Yu. V. Novozhilov, “Chiral bag in quantum chromodynamics”, TMF, 74:1 (1988),  140–142  mathnet; Theoret. and Math. Phys., 74:1 (1988), 99–101  isi
1987
37. A. A. Andrianov, N. V. Borisov, M. V. Ioffe, “Scattering theory for supersymmetric Hamiltonian and supersymmetry of nuclear interactions”, TMF, 72:1 (1987),  97–111  mathnet  mathscinet; Theoret. and Math. Phys., 72:1 (1987), 748–758  isi
38. A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, Yu. V. Novozhilov, “Asymmetry of the quark spectrum and effective Lagrangian for massive pseudoscalar mesons”, TMF, 70:1 (1987),  63–75  mathnet; Theoret. and Math. Phys., 70:1 (1987), 43–51  isi
1986
39. A. A. Andrianov, Yu. V. Novozhilov, “Complete bosonization of quark currents in quantum chromodynamics”, TMF, 69:1 (1986),  78–81  mathnet; Theoret. and Math. Phys., 69:1 (1986), 1013–1015  isi
40. A. A. Andrianov, Yu. V. Novozhilov, “Gauge fields and correspondence principle”, TMF, 67:2 (1986),  198–222  mathnet  mathscinet; Theoret. and Math. Phys., 67:2 (1986), 448–464  isi
1984
41. A. A. Andrianov, N. V. Borisov, M. V. Ioffe, “Factorization method and Darboux transformation for multidimensional Hamiltonians”, TMF, 61:2 (1984),  183–198  mathnet  mathscinet; Theoret. and Math. Phys., 61:2 (1984), 1078–1088  isi
42. A. A. Andrianov, N. V. Borisov, M. V. Ioffe, M. I. Eides, “Supersymmetric mechanics: A new look at the equivalence of quantum systems”, TMF, 61:1 (1984),  17–28  mathnet  mathscinet; Theoret. and Math. Phys., 61:1 (1984), 965–972  isi
1977
43. A. A. Andrianov, “Dynamical impact parameter in quantum theory”, TMF, 33:3 (1977),  337–353  mathnet; Theoret. and Math. Phys., 33:3 (1977), 1058–1068
1973
44. A. A. Andrianov, “Impact parameter representations from the point of view of the Poincaré group”, TMF, 17:3 (1973),  407–421  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 17:3 (1973), 1234–1243

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