Quantum optics seminar
Proper time and energy and the Quantum Galileo Interferometer
Mr. Jannik Strohle
Ulm University
Abstract
Zoom Link: https://us02web.zoom.us/j/84645430425?pwd=HPIHoZhicOJ18uVXdNQ0tkUxGeZxY9.1
Abstract:
Daniel M. Greenberger has often argued that in relativistic classical mechanics, position and momentum is not the only pair of conjugate variables. It should be supplemented by the pair consisting of proper time and mass. Moreover, he argued that there exist remnants of this additional pair of conjugate variables in the non-relativistic limit. We review this idea and first recall that the standard formula for the contraction of time follows in a dynamical way from the resulting four rather than two Hamilton equations of motion. We then apply this technique to rederive the phase shift in the Quantum Galileo Interferometer (QGI). This analysis shows that the QGI measures the proper time difference between the two arms of the interferometer and is a manifestation of the twin paradox for matter waves.
Abstract:
Daniel M. Greenberger has often argued that in relativistic classical mechanics, position and momentum is not the only pair of conjugate variables. It should be supplemented by the pair consisting of proper time and mass. Moreover, he argued that there exist remnants of this additional pair of conjugate variables in the non-relativistic limit. We review this idea and first recall that the standard formula for the contraction of time follows in a dynamical way from the resulting four rather than two Hamilton equations of motion. We then apply this technique to rederive the phase shift in the Quantum Galileo Interferometer (QGI). This analysis shows that the QGI measures the proper time difference between the two arms of the interferometer and is a manifestation of the twin paradox for matter waves.