The potential step and Tunneling

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Learner88
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Just wondering in regards to the potential step, what exactly is it in term of physical substance? If its made up of some or any sort of matter, wouldn't the tunneling be effected by the molecular structure and the distance/gap between the particles?
 

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Well that's why the potential is exactly there for.It is,you can imagine,some substance that has set up such a potential,and vacuum on either side of it.Take a different substance, for example with different molecular spacing and the potential would change.