Problem 1 Assuming a particle is in vacuum (no potential), prove rigorously that if a wave function is a superposition o

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Problem 1 Assuming A Particle Is In Vacuum No Potential Prove Rigorously That If A Wave Function Is A Superposition O 1 (19.99 KiB) Viewed 52 times

Problem 1 Assuming a particle is in vacuum (no potential), prove rigorously that if a wave function is a superposition of plane waves: +(1) VL (2) ett dk Then the expectation value of the energy is: <E>:</H4>= (hk) -lo(k)dk 2m Warning: 1. You are NOT allowed to use the fact that o(k) is the probablity density in momentum space (even though it would be the best way to do it by very far) 2. At some point, your proof should make use of the delta function