Spectral properties of the many-body Hamiltonians on lattice. Fridrichs Model.
Main publications:
Mukhiddin I. Muminov and Tulkin H. Rasulov. The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space. Refereed ICTP Preprint, IC/2008/027.
Tulkin H. Rasulov and Mukhiddin I. Muminov. The Essential Spectrum of a Model Operator in Fock Space. Refereed ICTP Preprint, IC/2008/013.
Tulkin H. Rasulov, Mukhiddin I. Muminov and Mahir Hasanov. On the Spectrum of a Model Operator in Fock Space. ArXiv: math-ph 0805.1284v1, 2008.
M. I. Muminov. On the number of eigenvalues of the generalized
Friedrichs model. Uzbek Mathematical Journal (2007), No. 4,
00–11 (Russian).
Zh. I. Abdullaev, M. I. Muminov. On spectrum of sub-hamiltonians of n-particles on lattice. Uzbek Mathematical Journal (2006), No. 1, 3–8.
Zh. I. Abdullaev, M. I. Muminov. On the essential spectrum four particle Schrödinger Operator interacting via zero-range attractive potentials. DAN RUz, 2002, No. 3, 12–15 (Russian).
S. N. Lakaev, M. I. Muminov. On the essential spectrum of the non self-adjoint generalized Friedrichs model. Doklady Res. Uzb., 1997, No. 4, 8–10(Russian).
M. I. Muminov. On spectrum of the non self-adjoint generalized Friedrichs model. Uzbek. math. journal, 1997, No. 1, 48–58 (Russian).
S. N. Lakaev, M. E. Muminov. On spectrum of the non self-adjoint generalized Friedrichs model. DAN UzSSR, 1995, No. 7–8, p. 7–11 (Russian).
