in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

We calculate the one-particle density of states for the Mott–Hubbard insulating phase of the Hubbard model on a Bethe lattice in the limit of infinite coordination number. We employ the Kato–Takahashi perturbation theory around the strong-coupling limit to derive the Green function. We show that the Green function for the lower Hubbard band can be expressed in terms of polynomials in the bare h...

We provide a unified, comprehensive treatment of all operators that contribute to the antiferromagnetic, ferromagnetic, and charge-density-wave structure factors order parameters hexagonal Hubbard Model. use Hybrid Monte Carlo algorithm perform systematic, carefully controlled analysis in temporal Trotter error thermodynamic limit. expect our findings improve consistency determinations critical...

We present a numerical study on ground state properties of a one-dimensional (1D) general Hubbard model (GHM) with particle-assisted tunnelling rates and repulsive on-site interaction (positive-U), which describes fermionic atoms in an anisotropic optical lattice near a wide Feshbach resonance. For our calculation, we utilize the time evolving block decimation (TEBD) algorithm, which is an exte...

We show with the help of examples that discrete wavelets can be a useful tool in perturbation theory of finite-dimensional quantum Hamilton systems. PACS numbers: 02.30.Nw, 02.70.−c In perturbation theory the Hamilton operator Ĥ is given by Ĥ = Ĥ 0 + Ĥ 1 where Ĥ 0 and Ĥ 1 are self-adjoint operators in a Hilbert space [1]. It is assumed that the perturbation Ĥ 1 is relatively ‘small’ in comparis...