1 General Discussion of Lie Algebras.- 2 Commutator Gymnastics.- 3 Angular Momentum Theory and so(3).- 4 Representations and Realizations of so(2,1).- 5 Representations and Realizations of so(4).- 6 Scaled Hydrogenic Realization of so(4,2).- 7 Lie Algebraic Perturbation Theory.- 8 Symbolic Calculation of the Stark Effect.- 9 Symbolic Calculation of the Zeeman Effect.- 10 Spherically Symmetric Systems.- A The Levi-Civita Symbol.- B Lie Groups and Lie Algebras.- C The Tilting Transformation.- D Perturbation Matrix Elements.- E Tables of Stark Effect Energy Corrections.- F Tables of Zeeman Effect Energy Corrections.- G Tables of Charmonium Energy Corrections.- H Tables of Harmonium Energy Corrections.- I Tables of Screened Coulomb Energy Corrections.- J Solutions to Exercises.- Index of Symbols Used.
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