Quantum lattice-gas model for the many-particle Schrödinger equation in d dimensions

摘要: We consider a general class of discrete unitary dynamical models on the lattice. show that generically such give rise to wave function satisfying Schr\"odinger equation in continuum limit, any number dimensions. There is simple mathematical relationship between mass particle and eigenvalues matrix describing local evolution model. Second quantized versions these can be defined, limit nonrelativistic quantum many-body theory. An arbitrary potential easily incorporated into systems. The we describe fall lattice-gas automata implemented computer with speedup exponential particles system. This gives an efficient algorithm for simulating interacting systems computer.