The potential function of a one-dimensional oscillator of mass m and angular frequency is V(x) =

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The potential function of a one-dimensional oscillator of mass m and angular frequency ω is

V(x) = ½ kx ² + cx ⁴

Where the second term is small compared to the first.

a. Show that, to first order, the effect of the anharmonic term is to shift the energy E ₀ of the ground state by 3c(h/2m ω) ².

b. What would be the first-order effect on the energy of an additional term in x ³ in the potential?

Related Book For answer-question

Physical Chemistry

ISBN: 978-0716743880

7th Edition

Authors: Peter Atkins

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Posted Date: Oct 09, 2019 10:37 AM

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The potential function of a one-dimensional oscillator of mass m and angular frequency is V(x) =

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a As Vr 12 kx 2 cx 4 So first order effect is given as Using ladies operator where yo unp... View the full answer

Physical Chemistry

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