H400=R40 Y00 ,410=R41Y10 ,420=R42Y10,430=R43 Y30, the spherical harmonics areL
SphericalHarmonicY @0, 0, , D;
SphericalHarmonicY @1, 0, , D;
SphericalHarmonicY @2, 0, , D;
H L
n = 4; l = 0; m = 0;
400 = 2l+1
r
n a
n1l
r
Hn 1 l L !
l
Hn + 1 L !
a
Laguerre
Quiz 1.
1. Assume that the nucleus of the proton is a sphere of uniformly distributed charge. Take
the radius of the sphere to be 1 fm=10-13 cm. We will consider the ground state of atomic
hydrogen and the ground state of the muonic hydrogen where the ele
AMO-1: Table of Contents
Fall 2004, C. D. Lin
Textbook used: (BJ) B. H. Bransden and C. J. Joachain, " Physics of Atoms and Molecules", 2nd
edition, 2003.
1. The Preliminary-(1) atomic units, common energy converters, frequencies, wavelengths
(2) Brief su
Exercises:
1. (a) Find the equilibrium distances of H2 and H2+, the first three vibrational energies of
the J=0 states.
(b) Find the lowest potential curves of H2 and H2+, respectively, and plot them on the same
graph.
(c) If the lowest potential curve of
Problem set-1.1
1. (a) Work out the wave functions of Stark states of hydrogen atom for n=4 and m=0.
(b) Graph the density in (r, ) plane or using the two parabolic coordinates.
(c) Use first order perturbation theory to calculate the energy shift for eac