标题： 时间类裸奇点的量子探测在非线性电动力学模型中带电黑洞的情况 显示英文标题

标题： Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics

摘要： 研究了Kruglov提出的一种非线性电动力学模型中获得的带电黑洞解的时间类裸奇点，在量子力学框架内进行研究。 从量子力学的角度来看，时空是量子正则的，前提是测试量子波包的时间演化在底层背景上唯一传播。 严格的计算表明，当用特定的量子波/粒子模式探测奇点时，量子波算子实际上是自伴的。 因此，量子波/粒子的时间演化是唯一的。 在带电黑洞背景的情况下，唯一演化仅限于s波。 对于两种不同的磁荷黑洞背景，时间演化在每种情况下受到不同模式的限制。 显示英文摘要

摘要： 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.