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Soldatov Andrey Vladimirovich
(full list of publications)
| by years | scientific publications | by types |


1. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Algebraic aspects of the quantum multi-level systems dynamics in the projection operator method”, TMF (to appear)  mathnet
2. N.N. Bogolubov, Jr., A.V. Soldatov, “Fluorescence in a quantum system with violated symmetry”, Moscow University Physics Bulletin (to appear) , 23 pp.
3. N.N. Bogolubov, Jr., A.V. Soldatov, “Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems”, Int. J. Mod. Phys. B (to appear)

   2018
4. N. N. Bogolubov Jr., A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018) (to appear)

   2017
5. Andrey V. Soldatov, “Broadband EM radiation amplification by means of a monochromatically driven two-level system”, Mod. Phys. Lett. B, 31:4 (2017), 1750027 , 11 pp.  mathnet  crossref  isi  scopus
6. N.N. Bogolubov, Jr., A.V. Soldatov, “Numerical modelling of the evolution of open quantum multi-level systems”, Proceedings of the International Conference «Modern problems of mathematical modeling, data image processing and parallel computing» (September, 04 - 11, 2017. Divnomorsk, Gelendzhik, Krasnodar Krai, Russia), 2017, 5 pages (to appear)

   2016
7. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, Phys. Part. Nucl. Lett., 13:4 (2016), 460–465  mathnet  crossref  isi  elib  scopus
8. N. N. Bogolyubov, Jr., A. V. Soldatov, “On improvable upper bounds for confined polaron-type systems placed in external constant magnetic field.”, 7th International Workshop on Materials Analysis and Processing in Magnetic Fields, Book of Abstracts (June 15–18, 2016, Brown University, Providence, RI USA), Brown University Publishing, 2016, 31
9. N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
10. N. N. Bogolyubov Jr., A. V. Soldatov, “On Improvable Bounds for Polaron Systems in an External Potential”, Moscow University Physics Bulletin, 71:4 (2016), 356–362  mathnet  crossref  isi  elib  elib  scopus
11. Andrey V. Soldatov, “Laser frequency down-conversion by means of a monochromatically driven two-level system”, Mod. Phys. Lett. B, 30:27 (2016), 1650331 , 11 pp.  mathnet  crossref  adsnasa  isi (cited: 1)
12. N. N. Bogolubov, Jr., A. V. Soldatov, “Em radiation frequency down-conversion and amplification by means of a monochromatically driven two-level quantum system”, New Tendencies of Developing Fundamental and Applied Physics: Problems, Achievements, Prospectives, The International Symposium, Book of Abstracts (Tashkent, Uzbekistan, November 10-11, 2016), National University of Uzbekistan Publishing, 2016 , 25 pp.

   2015
13. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Nanotechnology in the security systems, Proceedings of NATO ARW International Conference NSS-2013 (29 September – 3 October 2013, Yalta, Ukraine), NATO Sci. Peace Secur. Ser. C Environ. Secur., XVII, eds. J. Bonca and S. Kruchinin, Springer, 2015, 55–67  mathnet  crossref  isi
14. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “The theory of quantum dots in external magnetic field”, Quantum Matter, 4:4 (2015), 352–357  mathnet  crossref
15. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach in the approximating Hamiltonian method”, Book of Abstracts, COPDE-2015, Conference on Partial Differential Equations (München, March 25 – 29, 2015), München Technical University Press, 2015, 6
16. N. N. Bogolubov, Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, International conference on Magneto-Science 2015, Book of Abstracts (Matsumoto, Japan, October 27–31, 2015), Shinshu University Publishing, 2015

   2014
17. N. N. Bogolubov, Jr., A. V. Soldatov, “Polaron Models in External Magnetic Field”, 6th International Workshop on Materials Analysis and Processing in Magnetic Fields, Book of Abstracts (Okinawa, Japan, July 8–11, 2014), National Institute for Materials Science, Kagoshima University, 2014, 35
18. J. Seke, A. V. Soldatov, M. Polak, G. Adam, Computationally efficient analytic representation of relativistic transition matrix elements in the Lamb shift calculations for hydrogenic atoms, 2014 , 12 pp., arXiv: 1412.5105
19. A. V. Soldatov, Improvable upper bounds to the piezoelectric polaron ground state energy, 2014 , 9 pp., arXiv: 1501.00193

   2013
20. N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278
21. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Int. Conference “Electron Correlation in Nanostructures (ECN-2013)”, Book of Abstracts (3–6 October 2013, Yalta, Ukraine), ARW NATO, 2013, 43 (full text is to appear in the proceedings of the conference)

   2011
22. G. Adam, A. V. Soldatov, J. Seke, M. Polak,, “On relativistic photoexcitation and decay rates in hydrogenic atoms”, 61th Joint Annual Meeting of the Austrian Physical Society - OPG and Swiss Physical Society - SPS (June 15–17, 2011 at the EPFL in Lausanne), Book of Abstracts, 2011, 127
23. N. N. Bogolubov, Jr., A. V. Soldatov, “Wick's Symbol Approach to the Impurity Bound Fröhlich Polaron”, Proceedings of the 2nd International Conference on Photonics (ICP 2011, organised by IEEE Photonics Society, Malaysia Chapter) (17–19 October, Le Meridien, Kota Kinabalu, Malaysia), IEEE, 2011, 289–292  crossref  scopus

   2010
24. A. V. Soldatov, “On lower bound estimates for the energy spectrum of the Fröhlich polaron model”, Phys. of Part. and Nucl., 41:7 (2010), 1079–1082  crossref  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
25. A. V. Soldatov, “Infinitely improvable upper bounds in the theory of polarons”, Cond. Matter Phys., 13:4 (2010), 43701 , 9 pp.  crossref  isi  elib
26. G. Adam, A. V. Soldatov, J. Seke, M. Polak,, “Hypergeometric Function Representation of Relativistic Transition Matrix Elements for Hydrogenic Atoms and their Contributions to the Lamb Shift”, 60th Annual Meeting of the Austrian Physical Society - OPG (September 6–10, 2010 at the University of Salzburg), Book of Abstracts, 2010, 159

   2009
27. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Hypergeometric function representation of relativistic transition matrix elements for hydrogenic atoms”, Mod. Phys. Lett. B, 23:2 (2009), 111–119  crossref  zmath  adsnasa  isi  elib  scopus
28. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Wick's symbol approach to the Fröhlich polaron problem”, Ukr. J. Phys., 54:8-9, Special issue dedicated to the 100-th anniversary of academician N. N. Bogolyubov (2009), 873–880
29. A. V. Soldatov, “Method of intermediate problems in the Fröhlich polaron model”, Cond. Matter. Phys., 12:4 (2009), 665–675  crossref  isi (cited: 1)  elib  scopus (cited: 1)
30. A. V. Soldatov, “Method of intermediate problems in the Frohlich polaron model”, The 3-d International Conference “Statistical Physics: Modern Trends and Applications” dedicated to the 100-th anniversary of academician N. N. Bogolyubov (1909–1992) (June 23–25, 2009, Lviv, Ukraine), Book of Abstracts, Lviv, 2009, 217
31. A. V. Soldatov, “On lower bound estimates for the energy spectrum of the Fröhlich polaron model”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts, JINR, Dubna, 2009, 256
32. A. Gerhard, A. V. Soldatov, J. Seke, M. Polak, “Hypergeometric function representation of relativistic transition matrix elements for hydrogenic atoms”, Joint Annual Meeting of the Austrian Physical Society, Swiss Physical Society and Austrian Society of Astronomy and Astrophysics with participation of the Swiss Society for Astrophysics and Astronomy (September 2–4, 2009, University of Innsbruck), Book of Abstracts, University of Innsbruck, 2009, 59

   2008
33. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Closed analytic form for evaluation of relativistic bound-unbound and unbound-unbound transition matrix elements of hydrogenic atoms”, Int. J. Mod. Phys. B, 22:29 (2008), 5095–5102  crossref  zmath  adsnasa  isi  elib  scopus
34. A. V. Soldatov, J. Seke, G. Adam, M. Polak, “Computationally efficient analytic representation of relativistic bound-bound, bound-unbound and unbound-unbound transition matrix elements for hydrogenic atoms”, The 58th annual conference of the Austrian Physical Society (22–26 September 2008, University of Leoben), Book of Abstracts, 2008

   2007
35. A. V. Soldatov, J. Seke, G. Adam, “Evaluation of relativistic transition matrix elements of hydrogenic atoms using plane wave expansion”, Int. Journ. of Mod. Phys. B, 21:22 (2007), 3825–3840  crossref  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2006
36. A. V. Soldatov, N. N. Bogolyubov (Jr.), S. P. Kruchinin, “Method of intermediate problems in the theory of Gaussian quantum dots placed in a magnetic field”, Cond. Matter Phys.., 9:1(45) (2006), 1–9  isi (cited: 22)
37. A. V. Soldatov, J. Seke, G. Adam, “On the momentum representation of the spinor components of relativistic eigenfunctions and the Fourier transforms of their multiple products in the case of hydrogen-like atoms”, Int. J. Mod. Phys. B, 20:9 (2006), 1123–1139  crossref  zmath  adsnasa  elib (cited: 3)  scopus (cited: 3)
38. A. V. Soldatov, N. N. Bogolubov (Jr.), On the exact spectra of two electrons confined by two-dimensional Quantum Dots, Preprint ICTP, The Abdul Salam International Center for Theoretical Physics, Trieste, Italy, 2006

   2005
39. A. V. Soldatov, “On the stochastic variational approach to lower bounds for energy eigenvalues of few-body quantum systems”, Modern Phys. Lett. B, 19:7-8 (2005), 361–369  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)

   2004
40. A. V. Soldatov, “On Lower and Upper Bounds for Energy Eigenvalues of Quantum Dots”, Int. J. Mod. Phys. B, 18:2 (2004), 211–223  crossref  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
41. A. V. Soldatov, J. Seke, G. Adam, “On the momentum representation of the spinor components of relativistic eigenfunctions and the Fourier transformation of their multiple products for hydrogen-like atoms”, The 54th annual conference of the Austrian Physical Society (September 28–30, 2004, University of Linz), Book of Abstracts, 2004

   2003
42. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Multilevel coherence effects in a two-level atom driven by a trichromatic field”, Opt. Comm., 217 (2003), 299–309  crossref  adsnasa  isi (cited: 15)  elib (cited: 14)  scopus (cited: 16)
43. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), O. Hittmair, “Multilevel coherence effects in a two-level atom driven by a trichromatic field”, The 53th annual conference of the Austrian Physical Society (October 1–2, 2003, University of Salzburg), Book of Abstracts, 2003

   2002
44. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Absorption and dispersion by a multiple driven two-level atom”, Eur. Phys. J. D, 19 (2002), 411–419  adsnasa  isi  elib  scopus
45. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, N. N. Bogolubov (Jr.), “Absorption and dispersion by a multiple driven two-level atom”, The 52th annual conference of the Austrian Physical Society (September 23–26, 2002, University of Leoben), Book of Abstracts, 2002
46. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), G. Adam, “The complete treatment of the time evolution in the case of a discretized atom-field interaction model”, The 52th annual conference of the Austrian Physical Society (September 23–26 2002, University of Leoben), Book of Abstracts, 2002

   2001
47. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Fluorescence spectrum of a two-level atom driven by a multiple modulated field”, Phys. Rev. A, 64 (2001), 013813 , 10 pp.  crossref  adsnasa  isi (cited: 21)
48. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The complete treatment of the time evolution in the case of a discretized atom-field interaction model”, Mod. Phys. Lett. B, 15:21 (2001), 883–894  crossref  isi  elib  scopus
49. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Fluorescence spectrum of a two-level atom driven by a multiple modulated field”, The 51th annual conference of the Austrian Physical Society (September 2001, Technical University of Vienna), Book of Abstracts, 2001
50. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Probe absorption spectrum of a two-level atom driven by a multiple modulated field”, The 51th annual conference of the Austrian Physical Society (September 2001, Technical University of Vienna), Book of Abstracts, 2001

   2000
51. A. V. Soldatov, J. Seke, N. N. Bogolubov (Jr.), “On the Widder inversion method in problems of statistical mechanics”, Cond. Matt. Phys., 3:2(22) (2000), 371–380  crossref
52. A. V. Soldatov, “Generalization of the Peierls-Bogolubov inequality by means of a quantum-mechanical variational principle”, Proceedings of the Bogolubov Conference “PROBLEMS OF THEORETICAL AND MATHEMATICAL PHYSICS” (Moscow–Dubna–Kyiv, 27 September – 6 October 1999), PEPAN, 31, no. 7B, JINR, Dubna, 2000, 138–144
53. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Phase control of subharmonic resonances”, Opt. Commun., 182 (2000), 143–150  crossref  adsnasa  isi (cited: 9)  elib (cited: 7)  scopus (cited: 8)
54. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Saturation of a two-level atom in polychromatic fields”, Journ. Opt. B: Quantum Semiclass. Opt., 2 (2000), 780–785  crossref  adsnasa  isi (cited: 8)  elib (cited: 9)  scopus (cited: 9)
55. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Phase control of subharmonic resonances"”, The 50th annual conference of the Austrian Physical Society (September 2000, Graz University), Book of Abstracts, 2000
56. Z. Ficek, J. Seke, A. V. Soldatov, G. Adam, “Saturation of a two-level atom in polychromatic fields”, The 50th annual conference of the Austrian Physical Society (September 2000, Graz University), Book of Abstracts, 2000

   1999
57. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Deviations from spontaneous Lyman-$\alpha$ exponential decay revisited: A rigorous treatment within a two-level nonrelativistic model”, Int. Journ. Mod. Phys. Lett. B, 13:16 (1999), 531–539  crossref  adsnasa  isi (cited: 1)  elib
58. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Application of the Seke Self-Consistent Projection Operator Method in the Case of a Discretized Atom-Field Interaction Model”, Int. J. Mod. Phys. B, 13:26 (1999), 3159–3170  crossref  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
59. A. V. Soldatov, J. Seke, N. N. Bogolubov (Jr.), “On the Widder inversion method in problems of statistical mechanics”, The International conference on the problems of condensed matter physics (June 15–20, 1999, Lviv, Ukraine), Book of Abstracts, 1999
60. A. V. Soldatov, “Generalization of the Peierls-Bogolubov inequality by means of a quantum-mechanical variational principle”, Bogolubov Conference “PROBLEMS OF THEORETICAL AND MATHEMATICAL PHYSICS” (Moscow–Dubna–Kyiv, 27 September – 6 October 1999), Book of Abstracts, 1999

   1998
61. A. V. Soldatov, J. Seke, “Wigner function formalism in the kinetic theory of the polaron-like systems”, Proceedings of the 5th Wigner Symposium (Vienna, 1997), World Sci. Publ., River Edge, NJ, 1998, 352–354  mathscinet

   1997
62. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “A new technique for the construction of effective Hamiltonians”, Phys. Lett. A, 236:5-6 (1997), 361–372  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 5)  scopus (cited: 5)
63. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “Novel technique for quantum-mechanical eigenstate and eigenvalue calculations based on Seke's self-consistent projection-operator method”, Mod. Phys. Lett. B, 11:6 (1997), 245–258  crossref  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
64. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The Seke self-consistent projection-operator approach for the calculation of quantum-mechanical eigenvalues and eigenstates”, Physica A, 246 (1997), 221–240  crossref  adsnasa  isi (cited: 2)  elib (cited: 1)
65. A. V. Soldatov, J .Seke, “Wigner Function Formalism in the Kinetic Theory of the Polaron-like Systems”, Proceedings of the 5th Wigner Symposium (25–29 August 1997, Technical University of Vienna, Austria), World Scientific Publ. Co., Singapore, 1997
66. J. Seke, A. V. Soldatov N. N. Bogolubov (Jr.), “Novel technique for quantum-mechanical eigenstate and eigenvalue calculations based on the self-consistent projection-operator method”, Proceedings of the 5th Wigner Symposium (25–29 August 1997, Technical University of Vienna, Austria), World Scientific Publ. Co., Singapore, 1997
67. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “The Seke self-consistent projection-operator approach for the calculation of quantum-mechanical eigenvalues and eigenstates”, The 47th Annual Conference of the Austrian Physical Society (22–26 September, 1997, Wien University), Book of Abstracts, 1997

   1996
68. N. N. Bogolubov (Jr.), A. V. Soldatov, “Hartree–Fock–Bogolubov approximation in the models with general four-fermion interaction”, Internat. J. Modern Phys. B, 10:5 (1996), 579–597  crossref  mathscinet  adsnasa  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   1995
69. A. V. Soldatov, “Generalized variational principle in quantum mechanics”, Internat. J. Modern Phys. B, 9:22 (1995), 2899–2936  crossref  mathscinet  adsnasa  isi (cited: 4)

   1994
70. N. N. Bogolubov, Jr., A. V. Soldatov, “On the spectrum of excitations in the Frohlich polaron model”, Proceedings of the Int. Workshop devoted to N. N. Bogolubov (19–21 August, Dubna, JINR, 1993), JINR, Dubna, 1994
71. A. V. Soldatov, “Upper Bound on the Ground-State Energy for the Frohlich Polaron in a Magnetic Field”, Int. J. of Mod. Phys. Lett. B, 8:10 (1994), 629–639  crossref  adsnasa
72. A. V. Soldatov, “Continuous upper bound on the ground-state energy of the Frohlich polaron”, Mod. Phys. Lett. B, 8:8-9 (1994), 553–560  crossref  adsnasa

   1993
73. A. V. Soldatov, “Purely noise-induced phase transition in the model of gene selection with colored noise term”, Mod. Phys. Lett. B, 7:19 (1993), 1253–1261  crossref  adsnasa
74. A. V. Soldatov, “First order-like and second order-like noise-induced phase transitions in the colored-loss-noise dye-laser models”, Laser Physics, 3:1 (1993), 175–181  isi
75. N. N. Bogolubov (Jr.), A. V. Soldatov, Uniform upper bounds in the Frohlich polaron theory, Preprint ICTP IC/93/373, ICTP, Miramare-Trieste, 1993
76. N. N. Bogolubov, Jr., A. V. Soldatov, “Uniform upper bounds in the Frohlich polaron theory”, Mod. Phys. Lett. B, 7:27 (1993), 1773–1779  crossref  adsnasa

   1992
77. A. V. Soldatov, “Noise-induced nonequilibrium phase transitions in the colored loss-noise dye-laser model”, Int. J. of Mod. Phys. B, 6:17 (1992), 2855–2874  crossref  adsnasa  isi
78. A. V. Soldatov, “To the colored-loss-noise dye-laser model with additive noise term below threshold”, Mod. Phys. Lett. B, 6:20 (1992), 1273–1281  crossref  adsnasa

   1991
79. A. V. Soldatov, “Projection formalism in the theory of nonequilibrium phase transitions induced by the colored noise”, All-union conference “Contemporary problems of statistical mechanics” (Harkiv, 1991), Book of Abstracts, 1991, 115

   1990
80. A. V. Soldatov, “Kinetic equation in the theory of nonequilibrium phase transitions induced by “colored” multiplicative noise”, Theoret. and Math. Phys., 85:2 (1990), 1213–1222  mathnet  crossref  mathscinet  adsnasa  isi  scopus
81. A. V. Soldatov, Generalized kinetic equation in the theory of nonequilibrium phase transitions induced by the colored multiplicative noise, Preprint of the V. A. Steklov Math. Inst. (Reports on Mathematics and Applications), no. 14, Moscow, 1990
82. A. V. Soldatov, Projection formalism and generalized kinetic equation in the theory of nonequilibrium phase transitions induced by the colored multiplicative noise, Preprint of the V. A. Steklov Math. Inst. (Reports on Mathematics and Applications), no. 15, Moscow, 1990 (in Russian)

   1988
83. A. M. Kurbatov, A. V. Soldatov, “Resonance dynamics in a generalized model of quadrupole interaction”, Theoret. and Math. Phys., 74:3 (1988), 312–315  mathnet  crossref  adsnasa  isi  scopus
84. A. M. Kurbatov, A. V. Soldatov, “Anomalous relaxation and resonant dynamics in admixed crystalline systems”, Proceedings of the III Int. Workshop “Nonlinear and Turbulent Processes in Physics”, v. 1, Naukova Dumka, Kiev, 1988, 300–303

   1987
85. A. M. Kurbatov, A. V. Soldatov, “On the resonant behavior of the longitudinal relaxation constant in admixed crystall $(K-Na)TaO_3$”, All-union conference “Contemporary problems of statistical mechanics” (Lviv, 1987), Book of Abstracts, 1987
86. A. M. Kurbatov, A. V. Soldatov, “Kinetic equation for excitonic distribution function in polar semiconductors”, All-union conference “Contemporary problems of statistical mechanics” (Lviv, 1987), Book of Abstracts, 1987

   1985
87. A. V. Soldatov, “Asimptoticheski tochnye resheniya modeli tipa Li”, Vestnik Moskov. univ. Ser. III. Fiz. Astronom., 26:2 (1985), 8–14  mathscinet
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