Exciton wavefunction around fixed hole
Posted: Thu Jan 18, 2024 2:17 pm
Dear all,
I saw that you can use ypp to compute the electronic part of the exciton wavefunction around a hole fixed in r-space.
I saw in the code that you are computing it for a fixed exciton state \lambda this way:
rho_{re, rh=const.}^{\lambda} = |psi_{re,rh=const.}^{\lambda}|^2
= |\sum_{k vc} e^{ik(r_e - rh=const.)} u*_{vk}(rh=const.) u_{ck}(re) A_{kvc}^{\lambda}|^2
Can you tell me why hole part of the wavefunction is conjugated?
If I would write out the same equation naively, I would not get the same phase factor as you, rather e^{ik(r_e + rh=const.)}
and a non-conjugated u_{vk}(rh=const.) Bloch-part
Thanks in advance for your help.
Best,
Franz
I saw that you can use ypp to compute the electronic part of the exciton wavefunction around a hole fixed in r-space.
I saw in the code that you are computing it for a fixed exciton state \lambda this way:
rho_{re, rh=const.}^{\lambda} = |psi_{re,rh=const.}^{\lambda}|^2
= |\sum_{k vc} e^{ik(r_e - rh=const.)} u*_{vk}(rh=const.) u_{ck}(re) A_{kvc}^{\lambda}|^2
Can you tell me why hole part of the wavefunction is conjugated?
If I would write out the same equation naively, I would not get the same phase factor as you, rather e^{ik(r_e + rh=const.)}
and a non-conjugated u_{vk}(rh=const.) Bloch-part
Thanks in advance for your help.
Best,
Franz