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If a time-dependent Hamiltonian is allowed to evolve adiabatically, and if itreturns to its original form, then the ground state wavefunction must havepicked up the dynamic or(and) the geometric phase factor(s) due to someinteraction during the above evolution. Here, (i) we invoke the Pancharatnam'snotion of phase retardation to show that the microscopic origin of Berry'sphase is due to a change in the phase velocity (of a wavefunction), and (ii)the dynamic phase factor is shown to have its origin in the group velocity of awavefunction. We also expose that the emitted photon's polarization during anelectronic transition has its origin in the changes of the phase velocity ofthe electron wavefunction. Here, we prove the above statements, (i) and (ii),such that they are not due to some interpretational issues, hence, anexpos${\rm \acute{e}}$.

Wavefunction transformation due to changing group and phase velocities: an expose