宇宙弦时空中标量场的非对易性和非惯性效应。第2部分：自旋为零的Duffin-Kemmer-Petiau类振荡器
Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator
摘要：
研究了动量空间中具有非对易几何的宇宙弦时空中旋转坐标系对自旋为零的Duffin-Kemmer-Petiau（DKP）类振子的非惯性效应。自旋为零的类DKP振子是从Klein-Gordon拉格朗日方程中得到的。我们发现，平行于弦的非对易参数为非零的与时间无关的径向方程的解与合流超几何函数有关。我们求出了非对易振子的量子化能量本征值。
英文摘要：
We study the non-inertial effects of a rotating frame on a spin-zero, Duffin-Kemmer-Petiau (DKP)-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is obtained from the Klein-Gordon Lagrangian with a non-standard prescription for the oscillator coupling. We find that the solutions of the time-independent radial equation with the non-zero non-commutativity parameter parallel to the string are related to the confluent hypergeometric function. We find the quantized energy eigenvalues of the non-commutative oscillator.
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