The angular momentum of an electron in circular harmonic motion where m=0 is. -h O none are correct
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- 2) Consider a particle in a three-dimensional harmonic oscillator potential V (r, y, z) = 5mw²(r² + y² + z®). The stationary states of such a system are given by ntm(r, y, z) = vn(x)¢r(y)v'm(2) (where the functions on the right are the single-particle harmonic oscillator stationary states) with energies Entm = hw(n +l+m+ ). Calculate the lifetime of the state 201.Calculate Z for a single oscillator in an Einstein solid at a temperature T=4TE=4ϵ/kBT=4 TE=4 ϵ/kB . The value of Z isP-4 Please help me with this problem very clearly with step by step explanation.
- View of a one-dimensional harmonic oscillator system on the x axis of a charged particle q with an energy spectrum of En = (n + ½)ħw. The system is then disturbed by an oscillating electric field as a wo• function of time t such that the disturbance potential energy can be expressed as untuk t o 0 v (t) = {_q {-9€x sin wt e-t With & electric field amplitude. (notes : untuk means for) a. Calculate the transition probability from state n to state m. b. State which transitions n → m are allowed and which are not allowed to occur. c. Explain what happens if w → wo and/or → 0. [Hint: Use the create and annihilate operators to enumerate Matrix elements.]Question (a) Calculate the zero-point energy of a harmonic oscillator consisting of a particle of mass 2.33 × 10+24 kg and force constant 155 Nm¯¹. (b) -1