Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• Imagine a hydrogen atom in which the electron has no spin [so that the only magnetic moment is the orbital magnetic moment given by (9.35)]. The atom is placed in a magnetic field B = 1.5 T along the z axis. (a) Describe the effect of the B field on the 1s and 2p states of the hypothetical atom. Sketch the energy levels. (b) When B = 0, there is a single spectral line corresponding to the 2p → 1s transition. How many lines does this become when B is switched on? (c) What is the fractional separation Δf/f0 between adjacent lines?
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