Russian Academy of Sciences

Landau Institute for Theoretical Physics

Evgeny B. Bogomolny

Publications

    1. G Berkolaiko, E.B. Bogomolny, J.P. Keating, Star graphs and \v Seba billiards, J. Phys. A 34(3), 335-350 (2001).
    2. E.B. Bogomolny, D.C. Rouben, Semiclassical description of resonant tunneling, Europhys. Lett., 43(2), 111-116 (1998).
    3. E. Bogomolny, F. Leyvraz, C. Schmit, Distribution of eigenvalues for the modular group, Commun. Math. Phys., 176 (3), 577-617 (1996); chao-dyn/9509019.
    4. E. Bogomolny, O. Bohigas, P. Leboeuf, Quantum Chaotic Dynamics and Random Polynomials, J. Stat. Phys., 85 (5-6), 639-679 (1996); chao-dyn/9604001.
    5. E.B. Bogomolny, J.P. Keating, Random matrix theory and the Riemann zeros II: n-point correlations, Nonlinearity, 9(4), 911-935 (1996).
    6. E.B. Bogomolny, J.P. Keating, Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation, Phys. Rev. Lett. 77 (8), 1472–1475 (1996).
    7. E.B. Bogomolny, J.P. Keating, Random matrix theory and the Riemann zeros. I. Three- and four-point correlations, Nonlinearity, 8(6), 1115-1131 (1995).
    8. E. Bogomolny, P. Leboeuf, Statistical Properties of the Zeros of Zeta Functions - Beyond the Riemann Case, Nonlinearity, 7 (4), 1155-1167 (1994); chao-dyn/9409004.
    9. E.B. Bogomolny, B. Georgeot, M.-J. Giannoni, C. Schmit, Trace formulas for arithmetical systems, Phys. Rev. E 47 (4), R2217–R2220.
    10. E.B. Bogomolny, M. Carioli, Quantum maps from transfer operators, Physica D 67 (1-3), 88-112 (1993).
    11. E. Bogomolny, On dynamical zeta function, Chaos, 2(1), 5-13 (1992).
    12. E.B. Bogomolny, Semiclassical quantization of multidimensional systems, Nonlinearity, 5(4), 805-866 (1992).
    13. E. Bogomolny, O. Bohigas, P. Leboeuf, Distribution of roots of random polynomials, Phys. Rev. Lett. 68(18), 2726–2729 (1992).
    14. E.B. Bogomolny, B. Georgeot, M.-J. Giannoni, C. Schmit, Chaotic billiards generated by arithmetic groups, Phys. Rev. Lett. 69(10), 1477–1480 (1992).
    15. E. Bogomolny, M. Carioli, Quantum maps of geodesic flows on surfaces of constant negative curvature, Proc. of IV Int. Seminar on Path Integral from meV to MeV, May 1992, pp. 53-65?.
    16. E. Bogomolny, C. Schmit, Semiclassical computations of energy levels, Preprint IPNO/TH 92-77, 44pp.
    17. G. Tanner, P. Scherer, E.B. Bogomolny, B. Eckhardt, D. Wintgen, Quantum eigenvalues from classical periodic orbits, Phys. Rev. Lett. 67(18), 2410-2413 (1991).
    18. R. Aurich, E.B. Bogomolny, F. Steiner, Periodic orbits on the regular hyperbolic octagon, Physica D 48 (1), 91-101 (1991).
    19. E.B. Bogomolny, Semiclassical Quantization of Multidimensional Systems, Comments on Atomic and Molecular Physics, 25, 67 (1990).
    20. E.B. Bogomol’nyi, Fotopogloshchenie atomami vo vneshnikh polyakh vblizi poroga ionizatsii, ZhETF, 96 (2), 487-503 (1989) [E.B. Bogomol’nyi, Photoabsorption by atoms in external fields near the ionization threshold, Sov. Phys. JETP 69(2), 275-283 (1989)].
    21. E.B. Bogomolny, Smoothed wave functions of chaotic quantum systems, Physica D 31 (2), 169-189 (1988), WoS: A1988P346600002.
    22. E.B. Bogomol’nyi, Ostsillyatsii v fotopogloshchenii vblizi poroga ionizatsii dlya vodorodopodobnykh atomov v elektricheskikh i magnitnykh polyakh, Pis’ma v ZhETF, 47 (9), 445-447 (1988) [E.G. Bogomol’nyi, Oscillation of the photoabsorption near the ionization threshold for hydrogen-like atoms in electric and magnetic fields, JETP Lett., 47 (9), 526-529 (1988)].
    23. E.B. Bogomol’nyi, Tonkaya struktura volnovykh funktsii kvantovykh sistem, Pis’ma v ZhETF, 44 (9), 436-439 (1986) [E.B. Bogomol’nyi, Fine structure of the wave functions of quantum systems, JETP Lett., 44 (9), 561-565 (1986)].
    24. E.B. Bogomol’nyi, Raspredelenie urovnei energii kvantovykh sistem, Pis’ma v ZhETF, 41 (2), 55-58 (1985) [E.B. Bogomol’nyi, Distribution of energy levels of quantum systems, JETP Lett., 41 (2), 65-69 (1985)].
    25. E.B. Bogomolny, Asymptotic estimates for two-dimensional area-preserving mappings, Physica D 13 (3), 281-301 (1984).
    26. E.B. Bogomol’nyi, Vysokie poryadki teorii vozmushchenii v klassicheskoi mekhanike, ZhETF, 86 (5), 1569-1593 (1984) [E.B. Bogomol’nyi, Higher orders of perturbation theory in classical mechanics, Sov. Phys. JETP, 59(5), 917-929 (1984)].
    27. E.B. Bogomol’nyi, V.A. Fateev, Asymptotic calculation of soliton masses (in Russian), Yadernaya fizika, 37(1), 228-241 (1983) [E.B. Bogomol’nyi, V.A. Fateev, Asymptotic calculation of soliton masses, Sov. J. Nucl. Phys., 37 (1), 134-141 (1983)].
    28. E.B. Bogomol’nyi, Yu.A. Kubyshin, Asymptotic estimates for diagrams with a fixed number of fermion loops in quantum electrodynamics. 2. The extremal configurations with the symmetry group O(2) × O(3) (in Russian), Yadernaya fizika, 35(1), … (1982) [E.B. Bogomol’nyi, Yu.A. Kubyshin, Asymptotic estimates for diagrams with a fixed number of fermion loops in quantum electrodynamics. The extremal configurations with the symmetry group O(2) × O(3), Sov. J. Nucl. Phys., 35 (1), 114-119 (1982)].
    29. E.B. Bogomol’nyi, Yu.A. Kubyshin, Asymptotic estimates for graphs with a fixed number of fermion loops in quantum electrodynamics. 1. The choice of the form of the steepest-descent solutions (in Russian), Yadernaya fizika, 34(6), 1535-1546 (1981) [E.B. Bogomol’nyi, Yu.A. Kubyshin, Asymptotic estimates for graphs with a fixed number of fermion loops in quantum electrodynamics. The choice of the form of the steepest-descent solutions, Sov. J. Nucl. Phys., 34 (6), 853-858 (1981)].
    30. E.B. Bogomolny, Calculation of instanton-anti-instanton contributions in quantum mechanics, Phys. Lett. B 91 (3-4), 431-435 (1980).
    31. E. Bogomolny, V.A. Fateev, L.N. Lipatov, Calculation of High Orders of Perturbation Theory in Quantum Field Theory, In: Physics Reviews, vol. 2, 247-393 (1980). Khalatnikov, I.M. (ed.).
    32. E.B. Bogomolny, Large-complex-charge behaviour of the Dirac determinant, Phys. Lett. B 86 (2), 199-202 (1979).
    33. E.B. Bogomolny, V.A. Fateyev, The Dyson instability and asymptotics of the perturbation series in QED, Phys. Lett. B 76 (2), 210-212 (1978).
    34. E.B. Bogomolny, Calculation of the green functions by the coupling constant dispersion relations, Phys. Lett. B 67 (2), 193-194 (1977).
    35. E.B. Bogomolny, V.A. Fateyev, Large order calculations in gauge theories, Phys. Lett. B 71 (1), 93-96 (1977).
    36. E.B. Bogomol’nyi, M.S. Marinov, Calculation of the monopole mass in gauge theory (in Russian), Yadernaya fizika, 23(3), 588-591 (1976) [E.B. Bogomol’nyi, M.S. Marinov, Calculation of the monopole mass in gauge theory, Sov. J. Nucl. Phys., 23 (3), 355-357 (1976)].
    37. E.B. Bogomol’nyi, V.A. Novikov, M.A. Shifman, The Weinberg-Salam model and the decay KL --> 2µ, Yadernaya fizika, 23(4), … (1976) [E.B. Bogomol’nyi, V.A. Novikov, M.A. Shifman, The Weinberg-Salam model and the decay KL --> 2µ, Sov. J. Nucl. Phys., 23 (4), 435-439 (1976)].
    38. E.B. Bogomol’nyi, A.I. Vainshtein, Stability of strings in gauge Abelian theory (in Russian), Yadernaya fizika, 23(5), … (1976) [E.B. Bogomol’nyi, A.I. Vainshtein, Stability of strings in gauge Abelian theory, Sov. J. Nucl. Phys., 23 (5), 588-591 (1976)].
    39. E.B. Bogomol’nyi, The stability of classical solutions (in Russian), Yadernaya fizika, 24(4), … (1976) [E.B. Bogomol’nyi, The stability of classical solutions, Sov. J. Nucl. Phys., 24 (4), 449-454 (1976)].
    40. E.B. Bogomol’nyi, Gauge invariance of strong interactions, Yadernaya fizika, 21(1), 219-226 (1975) [E.B. Bogomol’nyi, Gauge invariance of strong interactions, Sov. J. Nucl. Phys. 21(1), 116-119 (1975)].
    41. E.B. Bogomolnyi, M.A. Shifman, Dispersion method of calculating the radiative corrections in unified gauge theories of weak and electromagnetic interactions, Yadernaya fizika, 19, 169-175 (1974).
    42. E.B. Bogomol’nyi, V.A. Novikov, M.A. Shifman, Behaviour of the physical charge at small distances in nonabelian gauge theories, Yadernaya fizika, 20(1), 210-217 (1974) [E.B. Bogomol’nyi, V.A. Novikov, M.A. Shifman, The small – distance behavior of the physical charge in non – Abelian gauge theories, Sov. J. Nucl. Phys. 20(1), 110-113 (1975)].
    43. E.B. Bogomol’nyi, Broken chiral symmetry and a neutral scalar meson, Yadernaya fizika, 20(5), … (1974) [E.B. Bogomol’nyi, Broken chiral symmetry and a neutral scalar meson, Sov. J. Nucl. Phys. 20(5), 522-523 (1975)].
    44. E.B. Bogomolny, M.A. Shifman, M.Zh. Shmatikov, Comment on the Decay of Neutral Kaons into Muon Pairs, Phys. Rev. D 8 (9), 3237–3240 (1973).
    45. E.B. Bogomol’nyi, N.N. Nikolaev, V.A. Novikov, Cross sections of inelastic weak processes on colliding lepton-lepton beams. (in Russian), Yadernaya fizika, 17(4), 813-819 (1973) [E.B. Bogomol’nyi, N.N. Nikolaev, V.A. Novikov, Cross sections of inelastic weak processes on colliding lepton-lepton beams, Sov. J. Nucl. Phys. 17(4), ... (1973)].
    46. E.B. Bogomolnyi, Renormalizable models of weak interaction and neutral scalar meson (in Russian), Yadernaya fizika, 18, 574-582 (1973).
    47. E.B. Bogomolny, A.D. Dolgov, L.B. Okun, V.I. Zakharov, On the decay KL → 2μ and possible CPT violation, Phys. Lett. B 38 (1), 45-46 (1972).
    48. E.B. Bogomol’nyi, A.D. Dolgov, V.I. Zakharov, L.B. Okun’, M.V. Terent’ev, O vozmozhnykh effektakh narusheniya CPT-invariantnosti i raspade KL → 2μ, Yadernaya fizika, 15(5), 985-994 (1972) [E.B. Bogomolnyi, A.D. Dolgov, V.I. Zakharov, L.B. Okun, M.V. Terentev, On Possible CPT breaking effects and KL → 2μ decay, Sov. J. Nucl. Phys. 15, 549-555 (1972)].
    49. E.B. Bogomol’nyi, A.D. Dolgov, V.I. Zakharov, L.B. Okun’, M.A. Shifman, M.Zh. Shmatikov, Raspad K0L → μ+μ- i vozmozhnoe anomal’noe vzaimodeistvie myuonov s adronami, Yadernaya fizika, 16(1), 129-142 (1972) [E.B. Bogomolnyi, A.D. Dolgov, V.I. Zakharov, L.B. Okun, Mikhail A. Shifman, M.Zh. Shmatikov, K0L → μ+μ- decay and possible anomalous interactions of muons with hadrons., Sov. J. Nucl. Phys. 16, 70-76 (1973)].