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Essay Details:
Essay text:
What requires serious quantum
mechanics is to understand where the energy levels come from and to describe large
conductors with multiple energy levels. Before we get lost in these details (and we
have the whole book for it!) it is useful to understand the factors that influence the
current–voltage relation of a really small object.
This “bottom-up” view is different from the standard “top-down” approach to electrical
resistance. We start in college by learning that the conductance G (inverse of
the resistance) of a large macroscopic conductor is directly proportional to its crosssectional
area A and inversely proportional to its length L:
G = ? A/L (Ohm’s law)
where the conductivity ? is a material property of the conductor...
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