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Sunday, April 5, 2015

Exploring Quantum Physics - Week 1 Question 9

Question:

Suppose that $ \psi_1 $ and $ \psi_2 $ satisfy the time independent Schrödinger equation for some potential. Which of the following necessarily also satisfies the Schrödinger equation?

Solution:

The correct choice is $ c_1 \psi_1 + c_2 \psi_2 $. This is because the Schrödinger equation is linear and homogeneous.

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