mathematical physics; integrable systems of classical, statistical and quantum mechanics; spectral theory.
Main publications:
E. D. Belokolos, A. I. Bobenko, V. Z. Enolskii, A. R. Its, V. B. Matveev. Algebro-geometric approach to integrable non-linear systems. Springer-Verlag: Berlin, 1994, XIII+340.
E. D. Belokolos. Quantum particle in one-dimensional deformed lattice. I. Estimates of size of spectral lacunae // Teor. Mat. Fiz., 1975, v. 23, no. 3, p. 344–357.
E. D. Belokolos. The Peierls–Frolich problem and finite-gap potentials. I // Teor. Mat. Fiz., 1980, v. 45, no. 2, p. 268–275.
E. D. Belokolos. The Peierls–Frolich problem and finite-gap potentials. II // Teor. Mat. Fiz., 1981, v. 48, no. 1, p. 60–69.
E. D. Belokolos, V. Z. Ènol'skii, M. Salerno, “Wannier Functions for Quasiperiodic Finite-Gap Potentials”, TMF, 144:2 (2005), 234–256; Theoret. and Math. Phys., 144:2 (2005), 1081–1099
E. D. Belokolos, “The integrability and the structure of atom”, Mat. Fiz. Anal. Geom., 9:3 (2002), 339–351
1995
4.
E. D. Belokolos, “General formulae for solutions of initial and boundary value problems for the sine-Gordon equation”, TMF, 103:3 (1995), 358–367; Theoret. and Math. Phys., 103:3 (1995), 613–620
E. D. Belokolos, V. Z. Ènol'skii, “Verdier elliptic solitons and the Weierstrass theory of reduction”, Funktsional. Anal. i Prilozhen., 23:1 (1989), 57–58; Funct. Anal. Appl., 23:1 (1989), 46–47
E. D. Belokolos, V. Z. Ènol'skii, “Isospectral deformations of elliptic potentials”, Uspekhi Mat. Nauk, 44:5(269) (1989), 155–156; Russian Math. Surveys, 44:5 (1989), 191–193
E. D. Belokolos, V. Z. Ènol'skii, “Expression of parameters of solutions of algebraically integrable nonlinear equations in terms of theta constants”, Funktsional. Anal. i Prilozhen., 21:1 (1987), 70–71; Funct. Anal. Appl., 21:1 (1987), 60–62
E. D. Belokolos, I. M. Pershko, “Electron-phonon coupling constant in a single-gap conductor”, TMF, 71:2 (1987), 313–317; Theoret. and Math. Phys., 71:2 (1987), 558–561
1986
9.
E. D. Belokolos, A. I. Bobenko, V. B. Matveev, V. Z. Ènol'skii, “Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations”, Uspekhi Mat. Nauk, 41:2(248) (1986), 3–42; Russian Math. Surveys, 41:2 (1986), 1–49
E. D. Belokolos, D. Ya. Petrina, “On the relation between the approximating Hamiltonian method and
the finite-zone integration method”, Dokl. Akad. Nauk SSSR, 275:3 (1984), 580–582
11.
E. D. Belokolos, I. M. Pershko, “Classification of quasione-dimensional Peierls–Frehlich conductors”, TMF, 58:2 (1984), 279–291; Theoret. and Math. Phys., 58:2 (1984), 183–191
E. D. Belokolos, D. Ya. Petrina, “Connection between the approximating Hamiltonian method and theta-function integration”, TMF, 58:1 (1984), 61–71; Theoret. and Math. Phys., 58:1 (1984), 40–46
E. D. Belokolos, “Peierls-Fröhlich problem and potentials with finite number of gaps. II”, TMF, 48:1 (1981), 60–69; Theoret. and Math. Phys., 48:1 (1981), 604–610
E. D. Belokolos, “Peierls-Fröhlich problem and potentials with finite number of gaps. I”, TMF, 45:2 (1980), 268–275; Theoret. and Math. Phys., 45:2 (1980), 1022–1026
E. D. Belokolos, “Quantum particle in a one-dimensional deformed lattice. Dependence of the energy on the quasimomentum”, TMF, 26:1 (1976), 35–41; Theoret. and Math. Phys., 26:1 (1976), 21–25
E. D. Belokolos, “Quantum particle in a one-dimensional deformed lattice. Estimates of the gaps in the spectrum”, TMF, 25:3 (1975), 344–357; Theoret. and Math. Phys., 25:3 (1975), 1176–1184
E. D. Belokolos, “Irreducible representations of the translational symmetry operators of the Hamiltonian of a bloch electron in a magnetic field”, TMF, 7:1 (1971), 61–71; Theoret. and Math. Phys., 7:1 (1971), 368–374
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