arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/9806097quant-phgr-qc
收藏

量子定域观测量与加速标架

Quantum Localisation Observables and Accelerated Frames

Marc-Thierry Jaekel, Serge Reynaud

摘要:

我们定义了与时空中的爱因斯坦局域化相关的量子观测量。这些观测量是建立在庞加莱和膨胀发生器上的。它们的对称子由相同对称生成元定义的自旋观测量给出。他们的转变下的一致加速帧的评估,通过代数计算共形代数。自旋数被发现在这样的变换与变化涉及进一步的不可约的四极矩引入可观的变化。四极可观测量可以作为非对易极化来处理,它允许人们定义使自旋数增加或减少一个单位的阶跃算子。

英文摘要:

We define quantum observables associated with Einstein localisation in space-time. These observables are built on Poincare' and dilatation generators. Their commutators are given by spin observables defined from the same symmetry generators. Their shifts under transformations to uniformly accelerated frames are evaluated through algebraic computations in conformal algebra. Spin number is found to vary under such transformations with a variation involving further observables introduced as irreducible quadrupole momenta. Quadrupole observables may be dealt with as non commutative polarisations which allow one to define step operators increasing or decreasing the spin number by unity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑