- #1
McLaren Rulez
- 292
- 3
Hi,
In Griffiths QM, it is claimed that to solve the Schrodinger Equation, we take the solution wavefunction [itex]\Psi(x,t)[/itex] to be of a seperable form [itex]\psi(x)\phi(t)[/itex].
He then says that a superposition of these seperable forms can always give us the general solution. Can someone help me prove that statement? How do I know that every solution [itex]\Psi(x,t)[/itex] is a linear combination of solutions of the form [itex]\psi(x)\phi(t)[/itex]
Thank you!
In Griffiths QM, it is claimed that to solve the Schrodinger Equation, we take the solution wavefunction [itex]\Psi(x,t)[/itex] to be of a seperable form [itex]\psi(x)\phi(t)[/itex].
He then says that a superposition of these seperable forms can always give us the general solution. Can someone help me prove that statement? How do I know that every solution [itex]\Psi(x,t)[/itex] is a linear combination of solutions of the form [itex]\psi(x)\phi(t)[/itex]
Thank you!