Consider the hydrogen atom (Z = 1) in the presence of a magnetic field B. It is known that the hyperfine states F = 0 and F = 1 of the ground state unfold in several sub-levels as illustrated in Figure 2, which we know as the Zeeman Effect. E mF = 1 F = 1 mF = 0 B mF = -1 F = 0 mF = 0 Figure 2: Zeeman unfolding of the hyperfine structure of the base state of the hydrogen atom in the presence of a magnetic field. a) Show that for very strong magnetic fields the energy difference between thelF = 1, Mf = 1) and |F = 1, Mf = 0) states becomes constant. Show that the same happens between states |F = 1, MF = -1) and F = 0, Mf = 0). This is known as the Paschen-Back regimen.

Consider the hydrogen atom (Z = 1) in the presence of a magnetic field B. It is known that the hyperfine states F = 0 and F = 1 of the ground state unfold in several sub-levels as illustrated in Figure 2, which we know as the Zeeman Effect. E mF = 1 F = 1 mF = 0 B mF = -1 F = 0 mF = 0 Figure 2: Zeeman unfolding of the hyperfine structure of the base state of the hydrogen atom in the presence of a magnetic field. a) Show that for very strong magnetic fields the energy difference between thelF = 1, Mf = 1) and |F = 1, Mf = 0) states becomes constant. Show that the same happens between states |F = 1, MF = -1) and F = 0, Mf = 0). This is known as the Paschen-Back regimen.