Locality Principle in Wave-Mechanics (Wave Mechanics/Local Density of States/Local Partition Function/Cluster Methods/Moment Methods/Path Integral Methods).

摘要

This paper proves a locality principle for a wave-mechanical particle governed by the Schroedinger equation. It is shown that rho(r,Beta), the Laplace transform of the local density of states n(r,E), depends significantly only on the potential V(r') at points r' near r. The effect of changes of V(r') at distant points r' (abs. val. (r' - r) > d) on rho(r,Beta), decay in a Gaussian fashion with a. This result sheds some light on the locality of physical properties of extended systems and provides general support for various local methods of calculation. (Author)