J-Space Calcs - Learn Quantum Mechanics

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SUMMARY

The forum discussion focuses on j-space calculations in Quantum Mechanics, specifically their importance in deriving expressions related to energy and energy density. Key equations mentioned include Energy E(λ)dλ = k_b T[8πL³/λ⁴]dλ and energy density u(ω)dω = (ħω³/π²c³)(1/(e^(ħω/k_bT)-1))dω. The user seeks additional resources for understanding j-space, indicating a gap in available educational materials on this topic.

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Piano man
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Hi,

I'm currently studying my Quantum Mechanics notes from college last year and I've got to the bit about j-space calculations. The slide is very scant on details and google isn't yielding anything on this either.
I would skip it but it seems important for deriving expressions such as Energy [tex]E(\lambda)d\lambda =k_b T\left[\frac{8\pi L^3}{\lambda ^4}\right]d\lambda[/tex] and the energy density in a cavity [tex]u(\omega)d\omega = \frac{\hbar\omega^3}{\pi^2c^3}\frac{1}{e^{\hbar\omega/k_bT}-1}d\omega[/tex]

Does anyone have any good sources for learning more about j-space?

Thanks
 
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You may search the black body radiation for the second equation.
 

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