论文标题
非线性电动力学模型中电和磁性黑洞的时间状裸奇异点的量子探针
Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics
论文作者
论文摘要
在量子力学的框架内研究了在克鲁格洛夫提出的非线性电动力学模型中获得的电和磁性黑洞溶液的时间状裸奇异点。鉴于量子力学，只要测试量子波包的时间演变在基础背景上唯一传播，那么时空是常规的。严格的计算表明，当用特定的量子波/粒子模式探测奇异性时，量子波算子原来是自我接合。因此，量子波/粒子的时间演变被唯一确定。在电动带电的黑洞背景的情况下，唯一的演变仅限于S波。对于两个不同带电荷的黑洞背景，时间演化仅限于每种情况的不同模式。
The time-like naked singularities of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov is investigated within the framework of quantum mechanics. In view of quantum mechanics, the space-time is quantum regular provided that the time evolution of the test quantum wave packet uniquely propagates on an underlying background. Rigorous calculations have shown that when the singularity is probed with specific quantum wave/particle modes, the quantum wave operator turns out to be essentially self-adjoint. Thus, the time evolution of the quantum wave/particle is determined uniquely. In the case of electrically charged black hole background, the unique evolution is restricted to s-wave only. For the two different magnetically charged black hole backgrounds, the time evolution is restricted to different modes for each case.
