Eugene Bogomolny

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Eugene B. Bogomolny , is a Russian mathematical physicist living in France, who is particularly concerned with quantum chaos and its applications in number theory (also in the context of the Riemann Hypothesis ).

Life

He is at the Laboratory for Theoretical Physics and Statistical Models (LPTMS) at the University of Paris-South .

The BPS bound in soliton theory is named after him, Manoj Prasad and Charles Sommerfield (with applications in supersymmetric field theories). In 1975, all three authors described magnetic monopoles (for non-Belian gauge groups) of charge 1 as the solution of the later so-called Bogomolny equations.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Spectral Statistics).

Fonts

  • Riemann zeta function and quantum chaos . In: Progr. Theor. Phys. , Suppl., 166, 2007, pp. 19-44, arxiv : 0708.4223
  • Quantum and Arithmetical Chaos, in Pierre Cartier a. a. (Ed.): Frontiers in Number Theory, Physics and Geometry . Volume 1. Springer Verlag, 2006, arxiv : nlin / 0312061
  • Spectral statistics and periodic orbits . Enrico Fermi School, Varenna 1999, arxiv : nlin / 0011023
  • with Jonathan Keating Gutzwiller’s trace formula and spectral statistics: beyond the diagonal approximation . In: Phys. Rev. Lett. , Volume 77, 1996, pp. 1472-1475
  • with Keating Random matrix theory and the Riemann zeros . In: Nonlinearity , Volume 8, 1995, pp. 1115-1131, Part 2, Nonlinearity , Volume 9, 1996, pp. 911-935
  • with F. Levyvraz, C. Schmit: Distributions of eigenvalues ​​for the modular group . In: Comm. Math. Phys. , Volume 176, 1996, pp. 577-617
  • with B. Georgeot, MJ Giannoni, C. Schmit: Chaotic billards generated by arithmetic groups . In: Phys. Rev. Lett. , Volume 69, 1992, pp. 1477-1480
  • with B. Georgeot, M.-J.Giannoni, C. Schmit: Arithmetic Chaos . In: Physics Reports , Volume 291, 1997, pp. 219-324

Web links

Individual evidence

  1. ↑ Prasad, Sommerfield. In: Phys. Rev. Lett. , 35, 1975, p. 760.
  2. ↑ Bogomolny. In: Sov. J. Nucl. Phys. , 24, 1976, 449
  3. ↑ Hitchin Magnetic Monopoles . In: Encyclopedia of Mathematics
personal data
SURNAME Bogomolny, Eugene
ALTERNATIVE NAMES Bogomolny, Eugene B.
BRIEF DESCRIPTION Russian mathematical physicist
DATE OF BIRTH 20th century