(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The operator Q obeys the commutation relation [Q, H] = E_{o}Q, where E_{o}is a constant with units of energy. Show that if ψ(x) is a solution of the time-independent Schrodinger equation with energy E, then Qψ(x) is also a solution of the time-independent Schrodinger equation, and determine the energy corresponding to Qψ(x).

2. Relevant equations

Commutator calculation and properties

? Time-independent Schrodinger equation and solution

3. The attempt at a solution

QH-HQ = E_{o}Q

Q = (QH-HQ)/E_{o}

Qψ = QC_{1}e^{iA1/2x}+QC_{2}e^{-iA1/2x}

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# Quantum Mechanics Operators question

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