Virial theorem. Use Equation 1 to show that
[3.96]
where T is the kinetic energy (H = T + V). In a stationary state the left side is zero (why?) so
[3.97]
This is called the virial theorem. Use it to prove that T = V for stationary states of the harmonic oscillator, and check that this is consistent with the results you got in Problems 2.11 and 2.12.
Equation 1
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