- #1
galactic
- 30
- 1
A particle of mass m is trapped in a one-dimensional infinite square well running from x= -L/2 to L/2. The particle is in a linear combination of its ground state and first excited state such that its expectation value of momentum takes on its largest possible value at t=0.I know the process of solving PDE's clear as day, that's not the issue. The problem is that I'm tripping myself out on how to write [itex]\Psi(x,t)[/itex] as a linear combination of its ground state + first excited state.
My hunch is to approach the problem like this :
[itex]\Psi(x,t)[/itex]=c[itex]_{0}[/itex][itex]\Psi_{0}(x,t)[/itex]+c[itex]_{1}[/itex][itex]\Psi_{1}(x,t)[/itex]
where 0 and 1 represent the ground state and first state, respectively
I'm confusing myself on what needs to fill in the equations! Any help would be appreciated.
My hunch is to approach the problem like this :
[itex]\Psi(x,t)[/itex]=c[itex]_{0}[/itex][itex]\Psi_{0}(x,t)[/itex]+c[itex]_{1}[/itex][itex]\Psi_{1}(x,t)[/itex]
where 0 and 1 represent the ground state and first state, respectively
I'm confusing myself on what needs to fill in the equations! Any help would be appreciated.
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