Matter wave clock

[1] De Broglie proposed that the frequency f of a matter wave equals E/h, where E is the total energy of the particle and h is the Planck constant."[3] In his paper, "Quantum mechanics, matter waves and moving clocks", Müller has suggested that "[The model] has also given rise to a fair amount of controversy.It yields a new intuitive interpretation of the propagation of a Dirac particle and reproduces all results of standard quantum mechanics, including those supposedly at odds with it.Experiments designed around the idea of interference between matter waves (as clocks) are claimed to have provided the most accurate validation yet of the gravitational redshift predicted by general relativity.[2] The frequency of the wave associated with a massive particle, such as an atom, is too high to be used directly in a practical clock and its period and wavelength are too short.A practical device makes use of the twin paradox arising from the theory of relativity, where a moving particle ages more slowly than a stationary one.
Matter wavesLouis de Brogliewave–particle dualityfrequencytwins paradoxAlbert EinsteinrelativityPlanck constantatom interferometergravitational redshiftgeneral relativitytwin paradoxinterferometry