asymptotic methods; semiclassical expansion; quantum field theory.
Main publications:
O. Yu. Shvedov. Time evolution in an external field: the unitarity paradox // Annals of Physics. 2001, v. 287, p. 260–290.
O. Yu. Shvedov. Large–N theory form the axiomatic point of view // Journal of Mathematical Physics. 2001, v. 42, no. 9, p. 4197–4247.
O. Yu. Shvedov. Exactly solvable quantum mechanical models with infinite renormalization of the wavefunction // Journal of Physics A. 2001, v. 34, p. 3483–3496.
O. Yu. Shvedov, “On Function Spaces for Quantum Systems with Constraints”, Mat. Zametki, 100:4 (2016), 597–618; Math. Notes, 100:4 (2016), 607–624
2.
O. Yu. Shvedov, “Maslov complex germ method for systems with second-class constraints”, TMF, 186:3 (2016), 423–432; Theoret. and Math. Phys., 186:3 (2016), 365–373
2005
3.
O. Yu. Shvedov, “On Fock Spaces with Linear Constraints”, Mat. Zametki, 78:1 (2005), 151–156; Math. Notes, 78:1 (2005), 140–145
4.
O. Yu. Shvedov, “Relativistically Covariant Quantum Field Theory of the Maslov Complex Germ”, TMF, 144:3 (2005), 492–512; Theoret. and Math. Phys., 144:3 (2005), 1296–1314
O. Yu. Shvedov, “On Quasiclassical Field Theories Invariant with Respect to a Lie Group”, Mat. Zametki, 73:3 (2003), 474–477; Math. Notes, 73:3 (2003), 447–454
6.
O. Yu. Shvedov, “Maslov Complex Germ Method for Systems with First-Class Constraints”, TMF, 136:3 (2003), 418–435; Theoret. and Math. Phys., 136:3 (2003), 1258–1272
O. Yu. Shvedov, “Renormalization of Lee-type models in spaces of arbitrary dimension”, Mat. Zametki, 68:1 (2000), 154–156; Math. Notes, 68:1 (2000), 139–141
8.
V. P. Maslov, O. Yu. Shvedov, “The Complex-Germ Method for Statistical Mechanics of Model Systems”, Trudy Mat. Inst. Steklova, 228 (2000), 246–263; Proc. Steklov Inst. Math., 228 (2000), 234–251
9.
O. Yu. Shvedov, “Exactly solvable quantum mechanical models with Stückelberg divergences”, TMF, 125:1 (2000), 91–106; Theoret. and Math. Phys., 125:1 (2000), 1377–1390
V. P. Maslov, O. Yu. Shvedov, “Asymptotics of the density matrix of a system of a large number of identical particles”, Mat. Zametki, 65:1 (1999), 84–106; Math. Notes, 65:1 (1999), 70–88
V. P. Maslov, O. Yu. Shvedov, “On the Elimination of the Stueckelberg Divergences in the Hamiltonian Field Theory”, Trudy Mat. Inst. Steklova, 226 (1999), 112–133; Proc. Steklov Inst. Math., 226 (1999), 100–120
O. Yu. Shvedov, “Maslov's complex germ and the asymptotic formula for the Gibbs canonical distribution”, Mat. Zametki, 64:4 (1998), 622–636; Math. Notes, 64:4 (1998), 537–550
15.
V. P. Maslov, O. Yu. Shvedov, “Axioms of quantum field theory with ultraviolet truncation”, Mat. Zametki, 63:1 (1998), 147–150; Math. Notes, 63:1 (1998), 133–136
V. P. Maslov, O. Yu. Shvedov, “Initial conditions in quasi-classical field theory”, TMF, 114:2 (1998), 233–249; Theoret. and Math. Phys., 114:2 (1998), 184–197
V. P. Maslov, O. Yu. Shvedov, “On some identities for the asymptotic behaviors of solutions of
abstract equations”, Dokl. Akad. Nauk, 352:2 (1997), 167–171
V. P. Maslov, O. Yu. Shvedov, “On the asymptotics of the spectrum of the Hamiltonian of quantum
theory for a large number of fields”, Dokl. Akad. Nauk, 352:1 (1997), 36–40; Dokl. Math., 42:1 (1997), 1–5
19.
V. P. Maslov, O. Yu. Shvedov, “The number of bose-condensed particles in a weakly nonideal bose gas”, Mat. Zametki, 61:5 (1997), 790–792; Math. Notes, 61:5 (1997), 661–664
V. P. Maslov, O. Yu. Shvedov, “Spectral problems with an operator-valued symbol in quantum field
theory”, Dokl. Akad. Nauk, 350:3 (1996), 312–314
21.
V. P. Maslov, O. Yu. Shvedov, “Asymptotic behavior of solutions of equations with an
operator-valued symbol in problems of quantum field theory”, Dokl. Akad. Nauk, 349:4 (1996), 455–459
22.
V. P. Maslov, O. Yu. Shvedov, “Approximate nonsymmetric solutions of many-particle equations and some identities for the density matrix”, Mat. Zametki, 60:3 (1996), 463–467; Math. Notes, 60:3 (1996), 346–350
V. P. Maslov, O. Yu. Shvedov, “Stationary asymptotic solutions of the many body problem and the derivation of integral equations with a jumping nonlinearity”, Differ. Uravn., 31:2 (1995), 312–326; Differ. Equ., 31:2 (1995), 288–300
V. P. Maslov, O. Yu. Shvedov, “Complex germ method in the Fock space. II. Asymptotics, corresponding to finite-dimensional isotropic manifolds”, TMF, 104:3 (1995), 479–506; Theoret. and Math. Phys., 104:3 (1995), 1141–1161
V. P. Maslov, O. Yu. Shvedov, “Complex germ method in the Fock space. I. Asymptotics like wave packets”, TMF, 104:2 (1995), 310–329; Theoret. and Math. Phys., 104:2 (1995), 1013–1028
V. P. Maslov, O. Yu. Shvedov, “On a new asymptotic method in the problem of many classical
particles”, Dokl. Akad. Nauk, 338:2 (1994), 173–176; Dokl. Math., 39:9 (1994), 611–614
30.
V. P. Maslov, O. Yu. Shvedov, “The problem of chaos conservation in many-particle systems”, Dokl. Akad. Nauk, 338:1 (1994), 15–18; Dokl. Math., 50:2 (1995), 186–191
V. P. Maslov, O. Yu. Shvedov, “The spectrum of an $N$-particle Hamiltonian for large $N$, and
superfluidity”, Dokl. Akad. Nauk, 335:1 (1994), 42–46; Dokl. Math., 39:3 (1994), 156–160
V. P. Maslov, O. Yu. Shvedov, “Asymptotics of a solution of an $N$-partial Liouville equation for large $N$ and refutation of the chaos hypothesis for density functions”, Mat. Zametki, 56:2 (1994), 153–155; Math. Notes, 56:2 (1994), 872–874
33.
V. P. Maslov, O. Yu. Shvedov, “Quantization in the neighborhood of classical solutions in the $\boldsymbol N$ particle problem and superfluidity”, TMF, 98:2 (1994), 266–288; Theoret. and Math. Phys., 98:2 (1994), 181–196
V. V. Belov, V. P. Maslov, O. Yu. Shvedov, “Semiclassical asymptotics of a model problem”, Mat. Zametki, 53:5 (1993), 14–20; Math. Notes, 53:5 (1993), 469–473
2015
35.
M. Semenov, O. Shvedov, A. Yakuta, “Московская физическая олимпиада 2015 года”, Kvant, 2015, no. 4, 46–51
2014
36.
M. Semenov, O. Shvedov, A. Yakuta, “Избранные задачи Московской физической олимпиады”, Kvant, 2014, no. 4, 46–51
2013
37.
M. Semenov, O. Shvedov, A. Yakuta, “Избранные задачи Московской физической олимпиады”, Kvant, 2013, no. 4, 46–50
2012
38.
M. Semenov, O. Shvedov, A. Yakuta, “Избранные задачи Московской физической олимпиады”, Kvant, 2012, no. 4, 52–56
2011
39.
M. Semenov, O. Shvedov, A. Yakuta, “Избранные задачи Московской физической олимпиады”, Kvant, 2011, no. 4, 58–61
2009
40.
M. Semenov, O. Shvedov, A. Yakuta, “Избранные задачи Московской физической олимпиады”, Kvant, 2009, no. 4, 52–54