Slide 42 Eigenfunctions of the Momentum Operator Recall that the one dimensional momentum operator is: Is our HO wavefunction an eigenfunction of the
{"Image DocumentName": "Eigenfunctions of the Momentum Operator", "Image ImageDescription": "Recall that the one dimensional momentum operator is: Is our HO wavefunction an eigenfunction of the momentum operator? No. Therefore the momentum of an oscillator. in this eigenstate cannot be measured exactly. The wavefunction for a free particle is: Is the free particle wavefunction an eigenfunction of the momentum. operator? Show both examples on board. Yes, with an eigenvalue of h \\ \uf06c, which is just the de Broglie. expression for the momentum. Thus, the momentum is known exactly. However, the position is. completely unknown, in agreement with Heisenberg\u2019s. Uncertainty Principle.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}