A particle of mass is moving under the potential V2(x)=alpha^2X^2m,where alpha>0 and m=0,1,2,3.., obtain an approximate expression for the particle's quantum energy values(alpha is reel)
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For the given potential, we have: V(x) = α^2x^2m Substituting this into the Schrödinger equation, we get: (-ħ^2/2m) d^2ψ/dx^2 + α^2x^2mψ = Eψ Now, we need to make an approximation to solve this equation. One common approximation is the harmonic oscillator Show more…
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