Time evolution of wave function in an infinite square well potential

Apashanka · Dec 14, 2018

Homework Statement

Printed multiple-choice question 6 on an infinite square well: at t = 0 a wavefunction is a combination of sin(πx/L) and sin(3πx/L) with prefactor sqrt(2/L); four options for the wavefunction at a later time t = mL²/(4πħ) are listed, each with exponential time phase terms e^(-iπ/6), e^(-iπ/8) and similar.

Homework Equations

For this question my ans. is coming option (3) since the time part of the wave comes out to be same for both the energy states which is (-1)^(-1/8) and (-1)^(-9/8) respectively (using exp(-iEt/ħ)).
But the correct option is given option (4).
Am I right??

The Attempt at a Solution

PeterDonis · Dec 14, 2018

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Time evolution of wave function in an infinite square well potential

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

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