Question:
Density of states for a one-dimensional Fermi system is proportional to:
Density of states for a one-dimensional Fermi system is proportional to:
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The density of states decreases as \( E^{-1/2} \) in a one-dimensional system.
Updated On: Mar 26, 2025
- \( E \)
- \( E^{1/2} \)
- \( E^{-1/2} \)
- A constant
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The Correct Option is C
Solution and Explanation
The density of states \( g(E) \) in a system is given by:
\[ g(E) \propto \frac{dN}{dE} \] For a 1D Fermi gas, the density of states follows:
\[ g(E) \propto E^{-1/2} \]
\[ g(E) \propto \frac{dN}{dE} \] For a 1D Fermi gas, the density of states follows:
\[ g(E) \propto E^{-1/2} \]
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