- #1
Von Neumann
- 101
- 4
Problem:
In a harmonic oscillator
[itex]\left\langle V \right\rangle[/itex][itex]=\left\langle K \right\rangle=\frac{E_{0}}{2}[/itex]
How does this result compare with the classical values of K and V?
Solution:
For a classical harmonic oscillator
V=1/2kx^2
K=1/2mv^2
I don't really know where to begin. Is it safe to say that quantum oscillator must depend on the [itex]average[/itex] values of the kinetic and potential energies? Also, the values of the energies in the classical system are conserved in such a way to conserve total mechanical energy.
In a harmonic oscillator
[itex]\left\langle V \right\rangle[/itex][itex]=\left\langle K \right\rangle=\frac{E_{0}}{2}[/itex]
How does this result compare with the classical values of K and V?
Solution:
For a classical harmonic oscillator
V=1/2kx^2
K=1/2mv^2
I don't really know where to begin. Is it safe to say that quantum oscillator must depend on the [itex]average[/itex] values of the kinetic and potential energies? Also, the values of the energies in the classical system are conserved in such a way to conserve total mechanical energy.
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