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Saturday, May 9, 2015

Exploring Quantum Physics - Week 6 Question 11

Question:

What is the ground state energy of a bouncing neutron under the simplified, constant gravitational field?

Solution:

Just substitute the values into the equations in the lectures to give the answer:

$ \alpha = (\frac{\hbar^2 M g^2}{2})^{1/3} = 9.64 \times 10^{-32}$
$ E = -\rho \alpha = 2.25 \times 10^{-31}$
$ T = \frac{E}{k} = 1.63 \times 10^{-8} $

So the answer is 16 nano-kelvin.

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