论文标题
在非交通空间中挤压重力井的相干状态
Squeezed coherent states for gravitational well in noncommutative space
论文作者
论文摘要
重力井是一个广泛使用的系统，用于验证量子弱等效原理（WEP）。我们已经在非交通（NC）空间的棚屋下研究了量子重力井（GW），以便可以利用结果来测试NC空间中WEP的有效性。为了保持我们的研究可广泛使用，我们考虑了位置位置和动量摩托符号的非销售性。 由于相干状态（CS）结构在经典和量子结构域描述之间提供了自然的桥接，因此可以在CS的帮助下验证纯经典现象（如重力）的量子结构域的有效性。我们借助刘易斯 - 里森菲尔德相位空间不变式操作员构建了CS。从可观察到的期望值从可观察到的不确定性关系中得出的不确定性关系，我们已经表明，时间依赖性的schrödinger方程的解决方案是挤压的状态。
Gravitational well is a widely used system for the verification of the quantum weak equivalence principle (WEP). We have studied the quantum gravitational well (GW) under the shed of noncommutative (NC) space so that the results can be utilized for testing the validity of WEP in NC-space. To keep our study widely usable, we have considered both position-position and momentum-momentum noncommutativity. Since coherent state (CS) structure provides a natural bridging between the classical and quantum domain descriptions, the quantum domain validity of purely classical phenomena like free-fall under gravity might be verified with the help of CS. We have constructed CS with the aid of a Lewis-Riesenfeld phase space invariant operator. From the uncertainty relations deduced from the expectation values of the observables, we have shown that the solutions of the time-dependent Schrödinger equation are squeezed-coherent states.
