A particle of mass, m, moving in 1-D, experiences the potential V(x) = ½ mo²x². Its ground y, and first excited-state fu

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A Particle Of Mass M Moving In 1 D Experiences The Potential V X Mo X Its Ground Y And First Excited State Fu 1 (27.85 KiB) Viewed 27 times

A particle of mass, m, moving in 1-D, experiences the potential V(x) = ½ mo²x². Its ground y, and first excited-state functions y, are (c) Prove that AxAp Vo = Question 2 [20marks] = (48³ i - (¹0²) ² (a) Determine the energy eigenvalue E,. (b) Determine (x²) and (p²) for the ground state. ħ 2 cox² 힘을, e where a " - (ª) * -- xe for the ground state. mo and = where ß= 2mE ħ² k m (Hint: Ax=√(-¹) and 4p-√² - P³)). Ap=₁ = wen (5) (10) (5)