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Transient Quantum Beat Oscillations in Extreme-Relativistic Diffraction in Time

Transient Quantum Beat Oscillations in Extreme-Relativistic Diffraction in Time

作     者:Salvador Godoy Salvador Godoy

作者机构:Universidad Nacional Autónoma de México Facultad de Ciencias Física CDMX Coyoacán México 

出 版 物:《Journal of Modern Physics》 (现代物理(英文))

年 卷 期:2021年第12卷第1期

页      面:1-9页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Quantum Beat Oscillations Relativistic Diffraction in Time 

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.

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