Question: Problem 3. [20 pts] We consider a quantum wire with dimensions a xa x L (where a is in the order of nm and L

Problem 3. [20 pts] We consider a quantum wire with dimensions a xa x L (where a is in the order of nm

Problem 3. [20 pts] We consider a quantum wire with dimensions a xa x L (where a is in the order of nm and L a). (1) If infinite barriers are assumed, what is the total energy of an electron or hole? (2) Derive and explain why the density of states of quantum wires shows the following behavior (Fig. 1). (3) What is Eth Eg? Bulk Density of States Quantum Wire . . Energy Figure 1: Density of states vs energy

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