Classical vs. Quantum Electric Resistance

As stated in introduction, measuring the electric resistance is different within classical or quantum ftamework here we illustrate this statement by treating both cases for this experimental issue. 

The classical framework assumes electrons as particles forming the current density j under the external applied electric field E between 

Their reciprocal relationship may be found out through the following  

FIGURE 3.19 Sketch of the apparatus measuring the classical electrical resistance, where the electron is viewed as a moving particle through resistor. 

Quantum Nanochemistry-Volume I Quantum Theory and Observability 

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