The correct statement about the symmetry of the eigenfunctions of a quantum of 1-D harmonic oscillator is · ABC26PH1298

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Harmonic Oscillator · Exam: CSIR NET JUNE 2016 · Marks: 2 · Difficulty: Medium

The correct statement about the symmetry of the eigenfunctions of a quantum of 1-D harmonic oscillator is
(a)All the eigenfunctions are only even functions, because the potential is an even function.
(b)All the eigenfunction are only odd functions, although the potential is an even function.
(c)The eigenfunctions have no odd-even symmetry.
(d)All the eigenfunctions are either odd or even functions, because the potential is an even function.
Answer
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Explanation
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