QUANTUM BOUNCE OF A UNIFORM DUST STAR IN NEWTON GRAVITY

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Abstract
We investigate the quantum dynamics of a dust sphere collapsing uniformly in Newtonian gravity, in which the concept of time is obvious. The quantum bounce of the wave packet is observed by a numerical method. Our Newton Lagrangian is different from the Newtonian limit of the Einstein Lagrangian. They give the same classical equation of motion but derive the different quantum systems.

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