Question

# The expectation value of the electron's kinetic energy in the hydrogen ground state equals the magnitude of the total energy. What must be the width of a cubic infinite well, in terms of $a_0,$ for its ground state to have this same energy?

Solution

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This question requires us to calculate the width of a cubic infinite well $(L)$ in terms of the Bohr radius $(a_0)$, such that its ground state energy equals the expectation value of an electron's kinetic energy in the ground state of hydrogen.

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