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Qmechanic ♦
Qmechanic ♦
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sammy gerbil
sammy gerbil
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Momentum Density of states in arbitraryirregularly-shaped volumes

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edit approved Jan 9, 2020 at 22:32
Przemysław Scherwentke
edit approved Jan 9, 2020 at 22:32
Przemysław Scherwentke
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A very common result is that the density of momentum states in a cubic volume is $\frac{V}{(2\pi\hbar)^3}$$\displaystyle\frac{V}{(2\pi\hbar)^3}$ in momentum space. How does this result extend to arbitrary volumes? Are there any nice examples of volumes that are endowed with an interesting set of a momentum eigenstates?

A very common result is that the density of momentum states in a cubic volume is $\frac{V}{(2\pi\hbar)^3}$ in momentum space. How does this result extend to arbitrary volumes? Are there any nice examples of volumes that are endowed with an interesting set of a momentum eigenstates?

A very common result is that the density of momentum states in a cubic volume is $\displaystyle\frac{V}{(2\pi\hbar)^3}$ in momentum space. How does this result extend to arbitrary volumes? Are there any nice examples of volumes that are endowed with an interesting set of a momentum eigenstates?

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Aakash Lakshmanan
Aakash Lakshmanan
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