64 citations · 82 across the 3 of their papers we have counts for
3 papers
Green functions for nearest- and next-nearest-neighbor hopping on the Bethe lattice
M. Kollar, M. Eckstein, K. Byczuk +8
We calculate the local Green function for a quantum-mechanical particle with hopping between nearest and next-nearest neighbors on the Bethe lattice, where the on-site energies may…
Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory
Martin Eckstein, Marcus Kollar, Krzysztof Byczuk +1
We derive an operator identity which relates tight-binding Hamiltonians with arbitrary hopping on the Bethe lattice to the Hamiltonian with nearest-neighbor hopping. This provides…
What is between Fermi-Dirac and Bose-Einstein Statistics?
Krzysztof Byczuk, Jozef Spalek, Geoffrey Joyce +1
We overwiev the properties of a quantum gas of particles with the intermediate statistics defined by Haldane. Although this statistics has no direct connection to the symmetry of t…