The Atomic Orbitals of Hydrogen - Molecular Symmetry - page 367

The H atom problem and the concept of angular momentum are dealt with in several
texts, including:
Atkins PW, Friedman RS (1997) Molecular Quantum Chemistry , third edition. Oxford University
Press (ISBN 0 19 855947 X).
Brink DM, Satchler GR (1993) Angular Momentum . Oxford University Press (ISBN 0 19 851759 9)
The general treatment of differential equations, including the H atom problem, along
with a more detailed look at imaginary numbers can be found in:
Steiner E (1997) The Chemistry Maths Book , Oxford Science Publications (ISBN 0 19 855913 5).
A very readable discussion of the history and application of complex numbers is
given in:
Nahin PJ (1998) An Imaginary Tale, The Story of √ − 1. Princeton University Press (ISBN 0-691-
02795-1).
The properties of spherical harmonics and the associated Legendre functions are
given in:
Abramowitz M, Stegun IA (eds) (1970) Handbook of Mathematical Functions . Dover (ISBN 0-486-
61272-4).
There are also sophisticated computer packages that can deal with the analytical mathe-
matics required for some of the problems in this appendix. Most notable are Mathematica
(http://www.wolfram.com/) and Matlab (http://www.mathworks.com/).