38. What is the interaction Hamiltonian if a hydrogen atom is interacting with electromagnetic field. Assume the H-atom is a pure dipole.
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- Is it possible for the z component of the orbital magnetic moment to be zero, but not the orbital angular momentum? Explain.9. A system of 9 identical non-interacting spin-3/2 particles confined to a one-dimensional harmonic oscillator potential is in its minimum energy configuration for which E = 5.75 eV. What is the minimum energy of the same system with 10 such particles? Recall that the energy levels of a single particle in a one-dimensional harmonic oscillator potential are given by En = (n +) with n = 0, 1, 2,.... hwnElectrons in a hydrogen atom are in a 3p excitation state transitioning radiative to energy level 2s. Taking into account the spin orbital interaction, determine : i) What is a spin orbit interaction?ii) Show the separation of 3p and 2s energy levels in the energy level diagramwithout an external magnetic field Biii) Show the separation of 3p and 2s energy levels in the energy level diagram due to the presence of an external magnetic field Biv) State the allowed transition conditionsv) Energy emitted when in space without a magnetic fieldvi) Energy emitted if it is in a space with a magnetic field B = 1Tplease solve part i
- Chapter 39, Problem 044 A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -1.51 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.200 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use -13.60 eV as the binding energy of an electron in the ground state. (a) Number Units (b) Number Units (c) Number UnitsA hydrogen atom is located in an area where there is both a uniform magnetic field and a uniform electric field that are parallel to each other. a) write out the Hamiltonian of perturbation (ignore the spin of the electron). b) use perturbation theory in order to calculate the first order correction to the energy levels n=1,2 c) is there any degeneracy left? Compare with situations in which there is a magnetic field or only an electric field.5 For each of the following transitions, indicate if the transition is allowed. If not allowed briefly explain why. (a) 5f Fr→ 3d ³Dsz (b) 1s 2s 2p 2Ds2→ 1s² 2s²2p³ S32 (c) 1s² 2s 2p ³p,→ 1s² 2s²2p¹ ³P₂ It is believed that the inter-nucleon force is repulsive at short range and is mediated by p and a mesons. If their range is about 0.5 fm then estimate the mass energy in MeV of these particles, stating your method. Estimate the mass density for the central part of a nucleus of 174Hf. State any approximations or assumptions. {