Suppose that a charge-transfer transition can be modelled in a one-dimensional system as a process in which an electron described by a Gaussian wavefunction centred on x = 0 and width a makes a transition to another Gaussian wavefunction of width a/2 and centred on x = 0. Evaluate the transition moment ∫Ψf xΨi dx . Hint: Don’t forget to normalize each wavefunction to 1.

Suppose that a charge-transfer transition can be modelled in a one-dimensional system as a process in which an electron described by a Gaussian wavefunction centred on x = 0 and width a makes a transition to another Gaussian wavefunction of width a/2 and centred on x = 0. Evaluate the transition moment ∫Ψf xΨi dx . Hint: Don’t forget to normalize each wavefunction to 1.