Lanczos cluster expansion for non-extensive systems

摘要: A cluster expansion of the Lanczos recursion for non-extensive systems is developed based on plaquette extensive systems, in which an auxiliary scaling parameter, Ω, plays role volume and introduces extensivity into problem. Connected Hamiltonian moments system are computed introduced usual way with Ω. The energy calculated increasing orders 1/Ω ground state mass gap finite few body problem recovered limit Ω → ∞. This new non-perturbative method applied to case N bosons interacting harmonically one dimension vacuum sector exactly.