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o utilize the fact if E >0 then e (free meaning independent) ticles to stay together if E> 0 where the particles interact wi a in E < 0. If we let E'> 0 is negative because E' is pos

o utilize the fact if E >0 then e (free meaning independent) ticles to stay together if E> 0 where the particles interact wi a in E < 0. If we let E'> 0 is negative because E' is pos

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(e) Explain why can we write the following equation for large r d F., 2µE dr2 F = 0 (21) Before we solve for F we to utilize the fact if E > 0 then the particles will behave as if they are free (free meaning independent) (there will be too much energy for the particles to stay together if E > 0); however we want to interpret a situation where the particles interact with each other, hence we are only interested in E < 0. If we let E' > 0, then we can write E = -E' (ensuring E is negative because E' is positive) Now we will rewrite equation (21) as dF 2µE' -F (22) %3D dr2 Note that 4, E' and h are all positive constants.
Transcribed Image Text:(e) Explain why can we write the following equation for large r d F., 2µE dr2 F = 0 (21) Before we solve for F we to utilize the fact if E > 0 then the particles will behave as if they are free (free meaning independent) (there will be too much energy for the particles to stay together if E > 0); however we want to interpret a situation where the particles interact with each other, hence we are only interested in E < 0. If we let E' > 0, then we can write E = -E' (ensuring E is negative because E' is positive) Now we will rewrite equation (21) as dF 2µE' -F (22) %3D dr2 Note that 4, E' and h are all positive constants.
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