a) Show that particles described by the wavefunction in Equation (1) obey Heisenberg’s un-certainty relation for position and momentum.b) Derive an explicit expression for the energy of this state in terms of Planck’s constant, the mass of the particle, and the width of the well. The following two questions refer to the wavefunction of a particle in the groundstate of an infinitesquare well with walls at x = L/2 and x = -L/2. This wavefunction can be written asV₁(t, x) = √√/²/₁COS(1₂)e-iEt/ħ(1)

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The following two questions refer to the wavefunction of a particle in the groundstate of an infinite square well with walls at x = L/2 and x = -L/2. This wavefunction can be written as V₁ (t, x) = √²/cos (¹) e COS L L -iEt/h (1)