A particle of mass, m, moving in 1-D, experiences the potential V(x) = ½ mo²x². Its ground y, and first excited-state fu
Posted: Thu Jul 07, 2022 12:07 pm
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)
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 =