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]
A. A. Andrianov, D. A. Lyozin, A. N. Starodubtsev, “The spectrum of states of Bañados–Teitelboim–Zanelli black hole formed by a collapsing dust shell”, Zap. Nauchn. Sem. POMI, 520 (2023), 5–16
2019
2.
A. A. Andrianov, A. N. Starodubtsev, Ya. Elmahalawy, “$(2+1)$-Dimensional gravity coupled to a dust shell: Quantization in terms of global phase space variables”, TMF, 200:3 (2019), 399–414; Theoret. and Math. Phys., 200:3 (2019), 1269–1281
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; Theoret. and Math. Phys., 190:2 (2017), 177–192
2016
4.
A. A. Andrianov, A. V. Sokolov, “Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics”, TMF, 186:1 (2016), 5–26; Theoret. and Math. Phys., 186:1 (2016), 2–20
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; Theoret. and Math. Phys., 185:1 (2015), 1370–1382
A. A. Andrianov, D. Espriu, S. S. Kolevatov, “Search for parity violation in cosmic rays”, TMF, 184:3 (2015), 392–397; Theoret. and Math. Phys., 184:3 (2015), 1234–1238
A. A. Andrianov, O. O. Novikov, Chen Lan, “Quantum cosmology of multifield scalar matter: Some exact solutions”, TMF, 184:3 (2015), 380–391; Theoret. and Math. Phys., 184:3 (2015), 1224–1233
A. A. Andrianov, S. S. Kolevatov, R. Soldati, “The functional squeeze operator algebra in Maxwell–Chern–Simons electrodynamics”, TMF, 184:3 (2015), 367–379; Theoret. and Math. Phys., 184:3 (2015), 1213–1223
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; Theoret. and Math. Phys., 175:3 (2013), 744–754
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; Theoret. and Math. Phys., 175:3 (2013), 735–743
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; Theoret. and Math. Phys., 175:3 (2013), 727–734
2012
12.
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; Theoret. and Math. Phys., 170:1 (2012), 17–25
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.
A. A. Andrianov, M. A. Kurkov, “Black holes in the brane world: Some exact solutions”, TMF, 169:2 (2011), 307–322; Theoret. and Math. Phys., 169:2 (2011), 1629–1642
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; J. Math. Sci. (N. Y.), 168:6 (2010), 772–780
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; J. Math. Sci. (N. Y.), 151:2 (2008), 2801–2812
2006
18.
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; Theoret. and Math. Phys., 148:1 (2006), 880–894
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; J. Math. Sci. (N. Y.), 143:1 (2007), 2707–2722
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; J. Math. Sci. (N. Y.), 143:1 (2007), 2697–2706
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; J. Math. Sci. (N. Y.), 136:1 (2006), 3533–3551
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; J. Math. Sci. (N. Y.), 115:1 (2003), 1921–1928
1998
24.
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; J. Math. Sci. (New York), 104:3 (2001), 1184–1194
25.
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; J. Math. Sci. (New York), 104:3 (2001), 1157–1183
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; J. Math. Sci. (New York), 100:2 (2000), 2023–2038
A. A. Andrianov, V. A. Andrianov, “Determination of scalar meson masses in QCD-inspired quark models”, Zap. Nauchn. Sem. POMI, 245 (1997), 5–21; J. Math. Sci. (New York), 100:2 (2000), 2013–2022
A. A. Andrianov, V. A. Andrianov, V. L. Yudichev, “Fermion models with quasilocal interactions near polycritical point”, TMF, 108:2 (1996), 276–293; Theoret. and Math. Phys., 108:2 (1996), 1096–1082
A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze, “Polynomial supersymmetry and dynamical symmetries in quantum mechanics”, TMF, 104:3 (1995), 463–478; Theoret. and Math. Phys., 104:3 (1995), 1129–1140
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; J. Math. Sci. (New York), 88:2 (1998), 150–158
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; J. Math. Sci. (New York), 88:2 (1998), 142–149
A. A. Andrianov, V. A. Andrianov, “Effective fermion models near tricritical point”, Zap. Nauchn. Sem. POMI, 209 (1994), 5–19; J. Math. Sci., 83:1 (1997), 1–10
A. A. Andrianov, V. A. Andrianov, “Effective fermion models with dynamical symmetry breaking”, TMF, 94:1 (1993), 6–18; Theoret. and Math. Phys., 94:1 (1993), 3–10
A. A. Andrianov, V. A. Andrianov, “Gauge Nambu–Jona-Lasinio model as a low-energy approximation of QCD”, TMF, 93:1 (1992), 67–86; Theoret. and Math. Phys., 93:1 (1992), 1126–1137
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; J. Math. Sci., 77:2 (1995), 3021–3032
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; J. Soviet Math., 62:5 (1992), 2943–2946
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; J. Math. Sci., 68:2 (1994), 169–176
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, Yu. V. Novozhilov, “Chiral bag in quantum chromodynamics”, TMF, 74:1 (1988), 140–142; Theoret. and Math. Phys., 74:1 (1988), 99–101
1987
39.
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; Theoret. and Math. Phys., 72:1 (1987), 748–758
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; Theoret. and Math. Phys., 70:1 (1987), 43–51
A. A. Andrianov, Yu. V. Novozhilov, “Complete bosonization of quark currents in quantum chromodynamics”, TMF, 69:1 (1986), 78–81; Theoret. and Math. Phys., 69:1 (1986), 1013–1015
A. A. Andrianov, Yu. V. Novozhilov, “Gauge fields and correspondence principle”, TMF, 67:2 (1986), 198–222; Theoret. and Math. Phys., 67:2 (1986), 448–464
A. A. Andrianov, N. V. Borisov, M. V. Ioffe, “Factorization method and Darboux transformation for multidimensional Hamiltonians”, TMF, 61:2 (1984), 183–198; Theoret. and Math. Phys., 61:2 (1984), 1078–1088
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; Theoret. and Math. Phys., 61:1 (1984), 965–972
A. A. Andrianov, “Impact parameter representations from the point of view of the Poincaré group”, TMF, 17:3 (1973), 407–421; Theoret. and Math. Phys., 17:3 (1973), 1234–1243