Normalization of harmonic-oscillator w'ave functions. Verify th... | Filo
Normalization of harmonic-oscillator w'ave functions. Verify th... | Filo
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SOLVED:The normalized wave functions for the ground state, ψ0(x), and the first excited state, ψ1(x), of a quantum harmonic oscillator are ψ0(x)=((a)/(π))^1 / 4 e^-a x^2 / 2 ψ1(x)=((4 a^3)/(π))^1 / 4 x e^-a x^2 / 2 where a=m ω/ ħ. A mixed state, ψ01(x), is constructed from these states: ψ01(x)=(1)/(√(2))[ψ0(x) ψ1(x)] ψ0(x), and the first excited state, ψ1(x), of a quantum harmonic oscillator are ψ0(x)=((a)/(π))^1 / 4 e^-a x^2 / 2 ψ1(x)=((4 a^3)/(π))^1 / 4 x e^-a x^2 / 2 where a=m ω/ ħ. A mix
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