Free-Fall Time in Quantum Theory

2021-2022 Spring
Faculty Department of Project Supervisor: 
Faculty of Engineering and Natural Sciences
Number of Students: 

Macroscopic objects fall to the ground at the same time when released from the same height (with zero initial velocity). Their falling duration, the free-fall time, is universal (Galileo's Pisa Tower experiment). This universality is what underlies the geometric theory of gravitation -- the General Relativity. The universality above does not hold for quantum particles. The reason is the appearance of Planck constant as a parameter of  mass-velocity-distance dimension. In this project, we will analyze the Schroedinger equation for a subatomic particle in free-fall, and try to deduce the precise source of universality breaking. We will use Fisher information on quantum probability distribution to determine under what conditions the universality is broken.

Related Areas of Project: 
Computer Science and Engineering
Electronics Engineering

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