- #1
Petar Mali
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In the theory of superconductivity BCS theory is given eigen - problem
[tex]-\frac{\hbar^2}{2m}(\Delta_{\vec{r}_1}+\Delta_{\vec{r}_2})\psi(\vec{r}_1-\vec{r}_1)=(E+2\frac{\hbar^2k^2_F}{2m})\psi(\vec{r}_1-\vec{r}_1)[/tex]
Why [tex]E+2\frac{\hbar^2k^2_F}{2m}[/tex]?
Maybe because is Fermi sphere is centered in origin?
[tex]-\frac{\hbar^2}{2m}(\Delta_{\vec{r}_1}+\Delta_{\vec{r}_2})\psi(\vec{r}_1-\vec{r}_1)=(E+2\frac{\hbar^2k^2_F}{2m})\psi(\vec{r}_1-\vec{r}_1)[/tex]
Why [tex]E+2\frac{\hbar^2k^2_F}{2m}[/tex]?
Maybe because is Fermi sphere is centered in origin?