„Termoelektromos jelenségek” változatai közötti eltérés
A Fizipedia wikiből
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$$V \big|_{I=0}=\underbrace{-\frac{\pi^2 k^2 T}{3e}\cdot \frac{1}{\mathcal{T}}\frac{\partial \mathcal{T}(\varepsilon )}{\partial \varepsilon} \bigg|_{\mu}}_{S} \cdot \Delta T$$ | $$V \big|_{I=0}=\underbrace{-\frac{\pi^2 k^2 T}{3e}\cdot \frac{1}{\mathcal{T}}\frac{\partial \mathcal{T}(\varepsilon )}{\partial \varepsilon} \bigg|_{\mu}}_{S} \cdot \Delta T$$ | ||
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A lap 2018. február 22., 17:03-kori változata
![\[I=\frac{2 e}{h} \cdot \int \mathcal{T(\varepsilon)}\cdot \left[f_1(\varepsilon,\mu_1,T_1)-f_2(\varepsilon,\mu_2,T_2)\right]\mathrm{d}\varepsilon\]](/images/math/2/1/2/212d11d2070e61abf720abc6d5199bd3.png)
![\[\int_{-\infty}^\infty H(\varepsilon)\cdot f(\varepsilon,\mu,T)\,\mathrm{d}\varepsilon = \int_{-\infty}^\mu H(\varepsilon)\,\mathrm{d}\varepsilon + \frac{\pi^2}{6}(kT)^2 H^\prime(\mu) + \mathrm{O} \left(\frac{kT}{\mu}\right)^4\]](/images/math/a/6/8/a689a92755262123fb0b70cfde07024e.png)
![\[I\approx\frac{2 e}{h} \cdot \int_{\mu_2}^{\mu_1} \mathcal{T}(\varepsilon)\,\mathrm{d}\varepsilon +\frac{2 e}{h}\frac{\pi^2}{6}(kT_1)^2 \mathcal{T}^\prime(\mu_1)-\frac{2 e}{h}\frac{\pi^2}{6}(kT_2)^2 \mathcal{T}^\prime(\mu_2)\approx \frac{2 e}{h} \cdot eV \cdot\bar{\mathcal{T}}(\varepsilon)+\frac{2 e}{h}\frac{\pi^2 k^2}{3}\cdot\Delta T\cdot T \cdot\mathcal{T}^\prime(\mu)\]](/images/math/8/8/c/88ca42f604c7170d43e54613a899873e.png)
![\[\Delta T=T_1-T_2;\ \ \ T=\frac{T_1+T_2}{2};\ \ \ \mu=\frac{\mu_1+\mu_2}{2}\]](/images/math/5/9/e/59ef26b2955577cd6210ae08aaa22a86.png)
![\[V \big|_{I=0}=\underbrace{-\frac{\pi^2 k^2 T}{3e}\cdot \frac{1}{\mathcal{T}}\frac{\partial \mathcal{T}(\varepsilon )}{\partial \varepsilon} \bigg|_{\mu}}_{S} \cdot \Delta T\]](/images/math/1/f/d/1fd92f9d3dbf2d94361fcda8c71cbd4b.png)
