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

Consider a non relativistic particle moving in a 1D potential V(x). Do you consider the energy of a particle moving in this potential to be quantized?

2. Relevant equations

V(x)=A exp{alpha^2 x^2}

3. The attempt at a solution

I was a bit confused as I thought energy was always quantized. My other thought was whether it is merely quantized in classically allowed zones and not in classically forbidden regions. In this case, the classically forbidden zones would be when |x| is greater than sqrt{2E/mw^2} if we approximate the potential as a harmonic oscillator.

Thanks for any help and apologies for any stupid errors I might have made. :S

*I was also unsure whether this would come under advanced physics or intro physics and if I have posted in the wrong forum, I apologise.

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# When is energy quantized in a one dimensional potential.

Can you offer guidance or do you also need help?

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