Consider an electron in an external magnetic field in theSzS-direction, $\mathbf{B} B_z \hat{k}S. If the initialspin state of the electron is the eigenstate of SS_x$ witheigenvalue S+\hbar/2$, \begin{enumerate} \item[a)]Find the state of the system at time St$. \item [b)] Showthat the system returns to its initial state and calculate theangular frequency. \item [c)] Calculates the expectedvalue of SS_XS, SS_yS and SS_ZS as a function of time. \end {enumerate}

Answered: Image /qna-images/answer/ff3ed526-b411-449d-b4d7-d667702ba12c.jpg

Answered: Consider an electron in an external…

Similar questions

#8
Explain the reason that metal atomic chains have quantized G, different from bulk metals by comparing with the Schematic illustration of a diffusive and ballistic conductor.
A deuterium molecule (D2₂) at 30°K is known to be in the state, 1 /26 12/₂) = = |3|1, 1) + 4 |7, 3) + |7, 1) where , m) are eigenstates of the angular momentum operator. (a) If one were to measure L₂, what posible values one would get and what would be their associated probabilities? (b) Repeat (a) but for L². (c) What is the expectation value of the energy (E) of the molecule in this state, assuming purely rotational states. Take c= 30.4 cm-¹, where I=moment of inertia of D₂ and c=speed of light. Express your answer in eV. -
Please atleast answer this question. I will upvote
Model the effective potential seen by the least bound proton in the nucleus as a square well with depth Bn inside the nuclear radius R, plus a repulsive Coulomb potential from a uniform charge distribution of the other protons inside the nucleus. Estimate Br for 209 Bi (mass number A = 209 and atomic number Z = 83), the largest stable isotope. How is Bn related to the depth of the nuclear potential Vo? Hint: The electrostatic potential a distance r from the center of a uniformly charged sphere of radius R and total charge Q is given by: for r < R. Q V = (3R² — r²) 8πTEOR³
There exists in nature a particle known as the muon. It is just a heavy electron with a mass mµ = 207me. It decaysin 10−6seconds. Suppose there exists a molecule analogous to H+2(two protons + 1 electron), but with the electronreplaced by a muon:(a) Find the equilibrium separation of the nuclei (R0) in such a molecule.(b) If a rotational state is excited, estimate the wavelength of the emitted radiation in the transition to the groundstate

Consider an electron in an external 'magnetic field in the Sz$ - direction, $\mathbf{B} = B_z \hat{k}$. If the initial spin state of the electron is the eigenstate of SS_XS with eigenvalue S+\hbar/2$, \begin{enumerate} \item[a)] Find the state of the system at time St$. \item [b)] Show