Gutzwiller renormalization group

Renormalization Group Renormalization Group

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

A NUMERICAL RENORMALIZATION GROUP APPROACH FOR AN ELECTRON-PHONON INTERACTION

A finite chain calculation in terms of Hubbard X-operators is explored by setting up a vibronic Harniltonian. The model conveniently transformed into a form so that in the case of strong coupling a numerical renormalization group approach is applicable. To test the technique, a one particle Green function is calculated for the model Harniltonian

Reduced Gutzwiller Formula with Symmetry: Case of a Lie Group

We consider a classical Hamiltonian H on R, invariant by a Lie group of symmetry G, whose Weyl quantization Ĥ is a selfadjoint operator on L(R). If χ is an irreducible character of G, we investigate the spectrum of its restriction Ĥχ to the symmetry subspace L2χ(R ) of L(R) coming from the decomposition of Peter-Weyl. We give semi-classical Weyl asymptotics for the eigenvalues counting function...

Reduced Gutzwiller Formula with Symmetry: Case of a Finite Group

We consider a classical Hamiltonian H on R2d, invariant by a finite group of symmetry G, whose Weyl quantization Ĥ is a selfadjoint operator on L2(Rd). If χ is an irreducible character of G, we investigate the spectrum of its restriction Ĥχ to the symmetry subspace Lχ(R d) of L2(Rd) coming from the decomposition of Peter-Weyl. We give reduced semi-classical asymptotics of a regularised spectral...