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Aug 8, 2020 at 20:41 vote accept nelly
Aug 8, 2020 at 20:41 vote accept nelly
Aug 8, 2020 at 20:41
Aug 8, 2020 at 20:41 vote accept nelly
Aug 8, 2020 at 20:41
Aug 8, 2020 at 20:23 comment added nelly @Cesareo Thank you very much! I have not determined the exact boundary condtions, but the codes are really helpful. cheers.
Aug 8, 2020 at 19:15 history edited Cesareo CC BY-SA 4.0
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Aug 8, 2020 at 18:29 comment added Cesareo @nelly Attached a possible case numerical solution.
Aug 8, 2020 at 18:28 history edited Cesareo CC BY-SA 4.0
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Aug 8, 2020 at 18:02 comment added nelly @Cesareo I tried to solve the coupled DE in mathematica but it does not give anything. I am new to the forum and trying to figure out how to post my code neatly on the comment section... p.s. I also tried for the case where $c_0$ is real just to see whether it can be solved, and mathematica found $\psi(b)$ to be a Heun function.
Aug 8, 2020 at 17:48 comment added nelly @Cesareo Thank you. I will put this in mathematica and see what comes out.
Aug 8, 2020 at 15:57 comment added Cesareo If $c_0$ is imaginary then $\psi = \psi_r + i \psi_i$ and $$\cases{c_0\psi_r'' + (b^2+k)\psi_i'+b(n-2)\psi_i = 0\\ -c_0\psi_i''+(b^2+k)\psi_r'+b(n-2)\psi_r = 0}$$
Aug 8, 2020 at 15:47 comment added Alex Trounev It looks like $c_0$ is complex $c_0=\frac {i \Lambda l^2_p}{9 V_c}$
Aug 8, 2020 at 15:35 history edited Cesareo CC BY-SA 4.0
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Aug 8, 2020 at 13:24 history answered Cesareo CC BY-SA 4.0