17 citations
7 papers
Equations of Maxwell Type
K. O. Makhmudov, O. I. Makhmudov, N. Tarkhanov
For an elliptic complex of first order differential operators on a smooth manifold, we define a system of two equations which can be thought of as abstract Maxwell equations. The f…
Gravitating Sphaleron-Antisphaleron Systems
Rustam Ibadov, Burkhard Kleihaus, Jutta Kunz +1
We present new classical solutions of Einstein-Yang-Mills-Higgs theory, representing gravitating sphaleron-antisphaleron pair, chain and vortex ring solutions. In these static axia…
Gravitating Dyons with Large Electric Charge
Rustam Ibadov, Burkhard Kleihaus, Jutta Kunz +1
We consider non-Abelian dyons in Einstein-Yang-Mills-Higgs theory. The dyons are spherically symmetric with unit magnetic charge. For large values of the electric charge the dyons…
On adapted coordinate systems
Isroil A. Ikromov, Detlef Müller
The notion of an adapted coordinate system, introduced by V.I.Arnol'd, plays an important role in the study of asymptotic expansions of oscillatory integrals. In two dimensions, A.…
Asymptotics for the number of eigenvalues of three-particle Schrödinger operators on lattices
Sergio Albeverio, G. F. Dell Antonio, Saidakhmat N. Lakaev
We consider the Hamiltonian of a system of three quantum mechanical particles (two identical fermions and boson)on the three-dimensional lattice and interacting by means of…
On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics
Sergio Albeverio, Saidakhmat N. Lakaev, Tulkin H. Rasulov
A model operator associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The…