Inside the well there is no potential energy. 5.6: Solving the 1D Semi-Infinite Square Well Imagine a particle trapped in a one-dimensional well of length L.Show that the uncertainties in these values do not violate the uncertainty principle. Find the expectation values of the electron’s position and momentum in the ground state of this well. 5.4: Expectation Values, Observables, and Uncertainty An electron is trapped in a one-dimensional infinite potential well of length L.Inside the well there is no potential energy, and the particle is trapped inside the well by “walls” of infinite potential energy. 5.2: Solving the 1D Infinite Square Well Imagine a (non-relativistic) particle trapped in a one-dimensional well of length L.
Although this equation cannot be “derived” from any other physics principle, it can be shown to at least be consistent with the conservation of energy.