Time-Dependent Invariants for Dirac Equation and Newton-Wigner Position Operator
量子物理
2009-10-30 v1
摘要
For Dirac equation, operator-invariants containing explicit time-dependence in parallel to known time-dependent invariants of nonrelativistic Schr\"odinger equation are introduced and discussed. As an example, a free Dirac particle is considered and new invariants are constructed for it. The integral of motion, which is initial Newton-Wigner position operator, is obtained explicitly for a free Dirac particle. For such particle with kick modeled by delta-function of time, the time-depending integral, which has physical meaning of initial momentum, is found.
引用
@article{arxiv.quant-ph/9702035,
title = {Time-Dependent Invariants for Dirac Equation and Newton-Wigner Position Operator},
author = {V. I. Man'ko and R. V. Mendes},
journal= {arXiv preprint arXiv:quant-ph/9702035},
year = {2009}
}
备注
LATEX,21 pages,submitted to Physica Scripta