Given a particle of mass m in the harmonic oscillator potential starts out in the state mwx2 mw p(x, 0) = A 1 2 exp 2h with Hermite polynomials H, (E) = 1, H, (E) = 2E, H2(E) = 48? – 2. Find the coefficients cn of p (x, 0) in the basis mw 4 1 E2 то Pn (x) = πή VZm(€) exp(-) ; E = 2"n!
Given a particle of mass m in the harmonic oscillator potential starts out in the state mwx2 mw p(x, 0) = A 1 2 exp 2h with Hermite polynomials H, (E) = 1, H, (E) = 2E, H2(E) = 48? – 2. Find the coefficients cn of p (x, 0) in the basis mw 4 1 E2 то Pn (x) = πή VZm(€) exp(-) ; E = 2"n!
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With the given Hermite polynomials how to find the coefficients cn?
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