For a simple harmonic oscillator, show that the expectation value of x, defined as
for the n = 0 and m =1 states. Use the result
.
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A light source emits light of wavelength 125 nm while at rest. When the source is moving, the Doppler shifted wavelength of the emitted light is 375 nm. Is the source of light approaching us or receding from us? Also calculate its speed.
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