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the claim
Ladder operators generate all energy states of the quantum harmonic oscillator.
the verdict
SUPPORTED
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refutedsupported
the weight of evidence
1 source for · 0 against

Retrieved literature confirms that ladder operators are utilized to generate all eigenstates of the quantum harmonic oscillator Hamiltonian.

Evidence for · 1
1970 · cited by 0
A complete set of coherent-state wave packets has been constructed for an electron in a uniform magnetic field. These states are nonspreading packets of minimum uncertainty that follow the classical motion. Use was made of the ladder operators that generate all the eigen-states of the Hamiltonian from any one energy eigenstate. The coherent states are the eigenstates of the two ladder operators that annihilate the zero-angular-momentum ground state. We have calculated the partition function, exploiting advantages of the coherent-state basis. The Landau diamagnetism and the de Haas-van Alphen oscillations are contained in the coherent-state framework.
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The analysis

rails:sufficiency:supported:single_source:for=1+0p:against=0+0p | v55:sufficiency

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  1. Landau Diamagnetism from the Coherent States of an Electron in a Uniform Magnetic Fieldpeer-reviewedno side taken
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held for human review08 Aug 2026
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