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.
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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