In this study, we solve analytically the Schrödinger equation for a macroscopic quantum oscillator as a central system coupled to two environmental micro-oscillating particles. Then, the double-slit interference patterns are investigated in two limiting cases, considering the limits of uncertainty in the position probability distribution. Moreover, we analyze the interference patterns based on a recent proposal called stochastic electrodynamics with spin. Our results show that when the quantum character of the macro-system is decreased, the diffraction pattern becomes more similar to a classical one. We also show that, depending on the size of the slits, the predictions of quantum approach could be apparently different with those of the aforementioned stochastic description.
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Naeij, H.R., Shafiee, A. Double-Slit Interference Pattern for a Macroscopic Quantum System. Found Phys 46, 1634–1648 (2016). https://doi.org/10.1007/s10701-016-0034-7
- Macroscopic quantum system
- Stochastic electrodynamics with spin