# Problems and Solutions on Atomic, Nuclear and Particle Physics (Major American Universities PhD Qualifying Questions and Solutions)

## Yung-Kuo Lim

Contents comprise atomic and molecular physics, nuclear physics, particle physics, experimental equipment, and extra.

turn into if ε → zero and why? (Wisconsin) resolution: electrical dipole radiation will de-excite the p-wave a part of this combined kingdom: Ψp (n = 2, j = half, l = 1) → Ψs (n = 1, j = 0.5, l = 0). The Ψs (n = 2, j = half, l = zero) country won't decay because it is a metastable nation. The decay matrix, i.e. the T matrix, is Ψf |T |Ψi = ε Ψ∗f V (r)Ψi d3 r , the place, for electrical dipole radiation, we've got 48 difficulties and suggestions in Atomic, Nuclear and Particle Physics V (r) = −(−er) · E = erE cos θ , taking the.

For Jc = 32 , L2 = 1, we've okay = fifty two , 32 , 12 . Then for okay = fifty two , J = three, 2; for ok = 32 , J = 2, 1; for ok= 1 , J = 1, zero . 2 For Jc = 12 , L2 = 1, we now have ok = 32 , 12 . Then for ok= three , J = 2, 1; 2 for ok = 1 , J = 1, zero . 2 1084 A furnace comprises atomic sodium at low strain and a temperature of 2000 ok. reflect on simply the subsequent 3 degrees of sodium: 1s2 2s2 2p6 3s: 2 S, 0 strength (ground state), 1s2 2s2 2p6 3p: 2 P , 2.10 eV, 1s2 2s2 2p6 4s: 2 S, 3.18 eV. (a) What are the photon.

Halfﬁlled. (c) The ratio of particle numbers in those strength degrees is ∆E g1 exp − g2 kT , the place g1 = 2× 32 +1 = four is the degeneracy of two D3/2 , g2 = 2× fifty two +1 = 6 is the degeneracy of two D5/2 , ∆E is the separation of those strength degrees. As ∆E = hc∆˜ ν = 6.6 × 10−34 × three × 108 × 168 × 102 = 3.3 × 10−21 J , ∆E g1 exp − g2 kT = 0.6 . 1091 contemplate the case of 4 identical p-electrons in an atom or ion. (Think of those electrons as having an analogous radial wave functionality, and a similar.

C3 g1 · · = 2 three · Γ, three ω g2 τ ω g2 the place τ is the life of excited nation 2, whose normal line width is Γ ≈ τ , g1 , g2 are respectively the degeneracies of states 1 and a pair of, use having been made up of the relation A12 = 1/τ and the uncertainty precept Γτ ≈ . Then as Nω = Iω /c, c being the rate of sunshine in unfastened area, now we have Pω = π 2 c2 g1 · ΓIω . ω 2 g2 14 difficulties and ideas in Atomic, Nuclear and Particle Physics Introducing the shape issue g(ω) and contemplating ω and that iω as.

occurs to this Atomic and Molecular Physics 17 point whilst the electron is acted on via the exterior strength bobbing up from the atom’s atmosphere. Take this exterior capability to be Vpert = Ax2 + via 2 − (A + B)z 2 (the atomic nucleus is on the starting place of coordinates) and deal with it to lowest order. (a) The l = 1 point now splits into 3 particular degrees. As you could conﬁrm (and as we trace at) each one has a wave functionality of the shape Ψ = (αx + βy + γz)f (r) , the place f (r) is a typical crucial.