(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle of mass m is in the ground state in the harmonic oscillator potential

V(x) = [tex]\frac{1}{2}Kx^{2}[/tex]

A small perturbation [tex]\beta x^{6}[/tex] is added to this potential.

How small must [tex]\beta[/tex] be in order for perturbation theory to be valid?

2. Relevant equations

All here:

http://en.wikipedia.org/wiki/Pertur...chanics)#Time-independent_perturbation_theory

3. The attempt at a solution

Well, this is kind of a conceptual question, and I'm not sure how to start. It feels like I am guessing.

All I know is that:

[tex]\beta x^{6} << \frac{1}{2}Kx^{2}[/tex]

I would really appreciate a pointer in the right direction... thanks =)

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# Homework Help: How small for perturbation theory to be valid?

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