Journal of Modern Physics

Volume 12, Issue 1 (January 2021)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

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Transient Quantum Beat Oscillations in Extreme-Relativistic Diffraction in Time

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DOI: 10.4236/jmp.2021.121001    293 Downloads   791 Views  Citations
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ABSTRACT

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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Godoy, S. (2021) Transient Quantum Beat Oscillations in Extreme-Relativistic Diffraction in Time. Journal of Modern Physics, 12, 1-9. doi: 10.4236/jmp.2021.121001.

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