|
Lecture
|
Date
|
Topics
|
Homework
|
|
L1
|
6 Jan
(Mon)
|
Syllabus, hydrogen atom, center-of-mass and relative motion,
hydrogenic systems.
|
--
|
|
L2
|
8 Jan
(Wed)
|
Atomic units, radial and angular wave functions,
energy spectrum.
|
--
|
|
L3
|
10 Jan
(Fri)
|
Hydrogen atom in 3 and 2 dimensions, variational method.
|
--
|
|
L4
|
13 Jan
(Mon)
|
Removal of degeneracy, relativistic effects,
spin-orbit coupling, hyperfine interaction,
virial theorem.
|
HW1
|
|
L5
|
15 Jan
(Wed)
|
Mass-velocity correction, spin-orbit interaction,
Hellman-Feynman theorem.
|
--
|
|
L6
|
17 Jan
(Fri)
|
N-electron atoms, electronic configurations,
LS coupling scheme, multiplets.
|
--
|
|
--
|
20 Jan
(Mon)
|
Martin Luther King Day
|
--
|
|
L7
|
22 Jan
(Wed)
|
Hund's rules and their application.
|
HW2
|
|
L8
|
24 Jan
(Fri)
|
Magnetic properties of atoms.
|
--
|
|
L9
|
27 Jan
(Mon)
|
Diamagnetism and paramagnetism in atoms.
|
--
|
|
L10
|
29 Jan
(Wed)
|
Molecular bonds, diatomic molecules,
Born-Oppenheimer approximation,
H2+ molecule,
molecular orbital approximation.
|
HW3
|
|
L11
|
31 Jan
(Fri)
|
H2 molecule, spatial and spin wavefunctions,
electronic configuration.
|
--
|
|
L12
|
3 Feb
(Mon)
|
Heitler-London approximation for H2,
molecules with atoms other than H, characterization
of covalent bonds.
|
--
|
|
L13
|
5 Feb
(Wed)
|
Review of atomic and molecular physics.
|
HW4
|
|
L14
|
7 Feb
(Fri)
|
Midterm Exam 1
|
--
|
|
L15
|
10 Feb
(Mon)
|
Midterm discussion, Bravais lattices,
lattices with a basis, simple cubic, fcc, bcc lattice.
|
--
|
|
L16
|
12 Feb
(Wed)
|
Unit cells, Wigner-Seitz cell, reciprocal lattice.
|
--
|
|
L17
|
14 Feb
(Fri)
|
Brilloun zones, families of lattice planes and
their relation to the reciprocal lattice.
|
--
|
|
L18
|
17 Feb
(Mon)
|
Miller indices, X-ray diffraction, Bragg and
von Laue formulation.
|
--
|
|
L19
|
19 Feb
(Wed)
|
Structure factor for lattices with a basis,
free electron gas.
|
HW5
|
|
L20
|
21 Feb
(Fri)
|
Crystal symmetries, group theory.
|
--
|
|
L21
|
24 Feb
(Mon)
|
Electronic density of states in 3D, T=0 properties
of the ideal Fermi gas.
|
--
|
|
L22
|
26 Feb
(Wed)
|
Ideal Fermi gas at T>0, electronic heat capacity.
|
--
|
|
L23
|
28 Feb
(Fri)
|
Pauli paramagnetic susceptibility,
Landau diamagnetic susceptibility,
origin of ohmic behavior.
|
HW6
|
|
--
|
2-6 Mar
|
Spring Break
|
--
|
|
L24
|
9 Mar
(Mon)
|
Electrons in the electric and magnetic field,
classical Hall effect, deviations
from the free electron model.
|
--
|
|
L25
|
11 Mar
(Wed)
|
Electrons in a lattice, Bloch's theorem,
band structure theory, nearly free electron model.
|
--
|
|
L26
|
13 Mar
(Fri)
|
Bands and band gaps in the nearly free electron model.
|
--
|
|
L27
|
16 Mar
(Mon)
|
Kronig-Penney model, tight-binding model.
|
HW7
|
|
L28
|
18 Mar
(Wed)
|
Applications of the tight-binding model,
effective mass of electrons and holes, semiconductors.
|
--
|
|
L29
|
20 Mar
(Fri)
|
Measuring the Fermi surface, classification of solids.
|
--
|
|
L30
|
23 Mar
(Mon)
|
Periodic table, review for Exam 2.
|
HW8
|
|
L31
|
25 Mar
(Wed)
|
Midterm Exam 2
|
--
|
|
L32
|
27 Mar
(Fri)
|
Midterm discussion, types of binding in crystals,
cohesion in van der Waals solids.
|
--
|
|
L33
|
30 Mar
(Mon)
|
Cohesion in ionic solids, Madelung constant.
|
--
|
|
L34
|
1 Apr
(Wed)
|
Cohesion in covalent solids, tight-binding
description of covalent binding, cohesion in metals.
|
HW9
|
|
L35
|
3 Apr
(Fri)
|
Vibrations in solids, harmonic approximation,
normal modes of a 1D monatomic Bravais lattice,
speed of sound.
|
--
|
|
L36
|
6 Apr
(Mon)
|
Normal modes of a lattice with a basis,
longitudinal and transverse, acoustic and optical
modes, quantization of vibrations, phonons.
|
--
|
|
L37
|
8 Apr
(Wed)
|
Debye model of the specific heat, low and
high temperature limit.
|
--
|
|
L38
|
10 Apr
(Fri)
|
Einstein model of the specific heat, origin of magnetism
in solids, magnetic susceptibility, diamagnetism and
paramagnetism in atoms and solids.
|
--
|
|
L39
|
13 Apr
(Mon)
|
Pauli paramagnetism in solids, ferromagnetic and
antiferromagnetic ordering.
|
HW10
|
|
L40
|
15 Apr
(Wed)
|
Heisenberg model, Ising model, exchange field,
mean-field description of magnetism.
|
--
|
|
L41
|
17 Apr
(Fri)
|
Stoner model of band ferromagnetism, mean-field
description of an antiferromagnet.
|
--
|
|
L42
|
20 Apr
(Mon)
|
Superconductivity: main phenomena.
|
--
|
|
L43
|
22 Apr
(Wed)
|
Superconductivity: macroscopic theories,
microscopic theory: BCS.
|
--
|
|
L44
|
24 Apr
(Fri)
|
Last lecture: Review.
|
--
|
|
--
|
28 Apr
(Tue)
7:45am - 9:45am
|
Final Exam
On-Line
|
--
|
tomanek@msu.edu