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4) Consider the paramagnetic two- and one-dimensional free electron gas, respectively the 2DEG and 1DEG, systems. Calculate their a) density of states, b) Fermi wavevector, c) dimensionless interaction parameter r3. d) Express their Fermi energy in terms of the free electron density n, kF, and r,.

4) Consider the paramagnetic two- and one-dimensional free electron gas, respectively the 2DEG and 1DEG, systems. Calculate their a) density of states, b) Fermi wavevector, c) dimensionless interaction parameter r3. d) Express their Fermi energy in terms of the free electron density n, kF, and r,.

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4) Consider the paramagnetic two- and one-dimensional free electron gas, respectively the 2DEG and 1DEG, systems. Calculate their a) density of states, b) Fermi wavevector, c) dimensionless interaction parameter r,. d) Express their Fermi energy in terms of the free electron density n, kf, and r,.
Transcribed Image Text:4) Consider the paramagnetic two- and one-dimensional free electron gas, respectively the 2DEG and 1DEG, systems. Calculate their a) density of states, b) Fermi wavevector, c) dimensionless interaction parameter r,. d) Express their Fermi energy in terms of the free electron density n, kf, and r,.
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