Answer to Question #285031 in Physical Chemistry for Aritrika

Question #285031

The even wave functions for 1D-Harmonic oscillator is given by

𝜓𝑣 = 𝑒

−𝛼𝑥

2⁄2

(𝑐0 + 𝑐2𝑥

2 + ⋯ + 𝑐𝑣𝑥

𝑣

)

Find the normalized wave functions for 𝜓0 𝑎𝑛𝑑 𝜓2.

[Given that 𝑐𝑛+2 =

2𝛼(𝑛−𝑣)

(𝑛+1)(𝑛+2)

𝑐𝑛]

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