(see Image) 7. (a) What is the energy distribution function n(E) and why is it useful in the context ofstatistical physics? Consider an ideal gas vs. a "free electron gas", and write the generalexpression for the energy distribution function n(E) for each case separately.(b) In class, we derived the density of states for a free electron gas (i.e. electrons in ametal) using the model of the 3D infinite potential well which gives energy levels as:,πηE= (n² + n² + n²)2mL²where L is the side length of a cubical "box". Now suppose instead that we considerphysical systems in which the electrons are confined to move in a 2D "sheet" of sidelength L (e.g. a relevant material system is graphene), which can have energy levels givenas:Eh²x²~ 2m² F² (m² + n²)where m* is an "effective mass". Derive the density of states for the 2D electron gas.

Answered: Image /qna-images/answer/896e9422-aa75-4780-857e-8d37afe9f7e8.jpg

Answered: 7. (a) What is the energy distribution…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.36P

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