Tuesday, April 16, 2019

Expectation values and energy.

There was a really interesting question, from a person in the back row on the right, on Tuesday

regarding the relationship between the energy, \(E_1\), which is both a parameter in the time-independent Schrodinger equation and the eigenvalue of the energy operator when applied to the ground state wave function. For the finite square well, and in most cases, \(\psi_1\) is an energy eigenstate, but not an eigenstate of kinetic energy. This video explores the relationship between the energy, \(E_1\) and the expectation values of the kinetic and potential energy.

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