High School Deriving Electron Wave Function from Hole Wave Function

[vatlychatran]

Assume that i have a wave function of holes in a solid, can we derive the wave function of electrons? If can then how?

 

[drvrm]

Assume that i have a wave function of holes in a solid, can we derive the wave function of electrons? If can then how?

wave functions are representing the state of a particle in a specific environment ...field/potential defines the boundary conditions of the wave functions.
if one has with him wave functions of holes... meaning thereby that these are solutions of the schrodinger equations in a particular lattice environment of the material where the 'holes' are situated .
these holes are 'absence' of electrons therefore if one has N1 holes it must be related to total number of electrons and the electronic wavefunctions can also be written or found out in the same environment as their 'effective masses' will be different but will be moving in the same potentials and the same boundary conditions- you can visit the following for those two types of wave functions in a specific environment.

Reference:http://publicationslist.org/data/r.j.warburton/ref-584/Barker_PRB_2004.pdf

 

[vatlychatran]

thanks!