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the claim
Solutions to the quantum harmonic oscillator have discrete energy levels and zero-point energy.
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
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The statement that solutions to the quantum harmonic oscillator have discrete energy levels and zero-point energy is a fundamental, textbook result of quantum mechanics that requires no citation.

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The analysis

This statement represents a textbook physical definition and foundational truth of quantum mechanics (specifically, the solution to the Schrödinger equation for a quadratic potential yielding $E_n = \hbar \omega (n + 1/2)$). Under Step 0, statements that are trivially true by definition or direct disciplinary observation are classified as COMMON_KNOWLEDGE.

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first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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