Question: The polynomials appearing in eqs. are known as Hermite polynomials. Compute the second, third, and fourth excited wave functions by assuming quadratic, cubic, and quartic

The polynomials appearing in eqs.

1 V1 (x) = 1 2(x) = V2(x): (A (2)!/4 /2 1

are known as Hermite polynomials. Compute the second, third, and fourth excited wave functions by assuming quadratic, cubic, and quartic polynomials and determining the coefficients by solving eq. (7.43).Compute the associated energy values.

1 V1 (x) = 1 2(x) = V2(x): (A (2)!/4 /2 1 (252 1)e-s/2 1 1 V3(x) (n (2)!/4 J3 : (253 35)e-s/2

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