Physics · Quantum Mechanics

Consider the time-independent Schrödinger equation with a real potential, and suppose ψ(x) is a solution of this equation. Which of the following is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1ψ* is always a solution of the same equation.✓
2ψ* is never a solution of the same equation.
3ψ* is a solution of the same equation only if the potential vanishes at infinity.
4ψ* is a solution of the same equation only if the potential is symmetric about x = 0.

Correct answer

ψ* is always a solution of the same equation.

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