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Calculus and Beyond Homework Help
Infinite well linear combo of states
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[QUOTE="galactic, post: 4531557, member: 456625"] [h2]Homework Statement [/h2] 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. [h2]The Attempt at a Solution[/h2] 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 Ψ(x,t) as a linear combination of its ground state + first excited state. My hunch is to approach the problem like this : Ψ(x,t)=c1Ψ1(x,t)+c2Ψ2(x,t) where 1 and 2 represent the ground state and first state, respectively that momentum takes on the largest possible value at t=0 is confusing and not sure what to do. [/QUOTE]
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Infinite well linear combo of states
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