TRQ9. Solve completely the following Quantumproblem. Need full detailed answer, equations and ifpossible, theory/literature. The Hamiltonian for an electron in a hydrogen atom subject to aconstant magnetic field B is (neglecting spin):e2p2H =2mee-L· B2me4TEorwhere L is the angular momentum operator.(a) Consider the line corresponding to the transition(n = 4,1 = 3) –→ (n = 3, 1 = 2). What will be the effect of themagnetic field on that transition line?Sketch the new spectrum and the possible transitions,constrained by the selection rule Am = 0, ±1.

Given data, Hamiltonian subjected to constant magnetic field of H-atom :- H=p22m-e24πεor+e2meL.B…

The Hamiltonian for an electron in a hydrogen atom subject to a constant magnetic field B is (neglecting spin): e2 p? H = 2me e -L·B 2me Απερr where L is the angular momentum operator. (a) Consider the line corresponding to the transition (n = 4,1 = 3) –→ (n= 3,1 = 2). What will be the effect of the magnetic field on that transition line? (b) Sketch the new spectrum and the possible transitions, constrained by the selection rule Am = 0, ±1.

The Hamiltonian for an electron in a hydrogen atom subject to a constant magnetic field B is (neglecting spin): e2 p? H = 2me e -L·B 2me Απερr where L is the angular momentum operator. (a) Consider the line corresponding to the transition (n = 4,1 = 3) –→ (n= 3,1 = 2). What will be the effect of the magnetic field on that transition line? (b) Sketch the new spectrum and the possible transitions, constrained by the selection rule Am = 0, ±1.