(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Virial Theorem

1. The problem statement, all variables and given/known data

A particle has a potential [tex]\lambda X^n[/tex] and Hamiltonian [tex]H = \frac{P^2}{2m} + V(x)[/tex]

Knowing that the commutator of H and XP is [tex]i\hbar(n\lambda X^n - \frac{P^2}{m})[/tex], find the average values <T> and <V> and verify that they satisfy:

[tex]2<T>=n<V>[/tex]

2. Relevant equations

3. The attempt at a solution

The question asked to calculate the commutator and that is what I found, but I'm lost as to how to get the average values and proove the inequality.

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# Virial Theorem

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