Starting with an electron's quantum (spin) state vector, this video demonstrates how to calculate the probabilities of various measurements of its spin, along with the corresponding expectation values. This example considers a spin state representation with only real-valued components: that leaves out part of the story, but for those still becoming comfortable with complex numbers this can be a good first step. (A similar example showing the full complex number story is here:
Starting with an electron's quantum (spin) state vector, this video demonstrates how to calculate the probabilities of various measurements of its spin, along with the corresponding expectation values. This example considers a spin state representation with only real-valued components: that leaves out part of the story, but for those still becoming comfortable with complex numbers this can be a good first step. (A similar example showing the full complex number story is here:
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