Transient Quantum Beat Oscillations in Extreme-Relativistic Diffraction in Time

• 作者: Salvador Godoy
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Quantum Beat Oscillations Relativistic Diffraction in Time
• 年，卷（期）: xdwlyw_2021,（1）
• 页码范围: 1-9
• 页数: 9页
• 分类号: O17

摘要

In the solution of the Klein-Gordon equation for the shutter problem, we prove that, at internuclear distances, a relativistic beam of Pi-mesons has a probability density which oscillates in time in a similar way to the spatial dependence in optical Fresnel diffraction from a straight edge. However, for an extreme-relativistic beam, the Fresnel oscillations turn into quantum damped beat oscillations. We prove that quantum beat oscillations are the consequence, at extreme-relativistic velocities, of the interference between the initial incident wave function, and the Green’s function in the relativistic shutter problem. This is a pure quantum relativistic phenomenon.