|
Day/
Room
|
Topic:
Subtopic |
Reading
(Main, Alternate,
Deep)
Do reading before
class on date shown. |
Due
Dates
|
1
M 1/5
304
|
Matrix Manipulations:
Matrix multiplication.
Transposes.
Hermitian adjoints.
Determinants.
Inverses.
Orthonormality of vectors.
Bra-ket notation:
Homework: Pauli Spin Matrices |
Class Notes:
Linear
Algebra by Example
RHB 8.3-8.10
Boas 3.3, 3.6
Schaum's 3.3-3.5, 7.1-7.3
Marion/Thornton 1.5-1.6
Arfken 3.1-3.2 |
|
2
T 1/6
304
|
Linear Transformations:
Transformations of vectors.
Worksheet:
Linear Transformations.
Rotations & Orthogonal Matrices:
Properties of rotations.
Rotations in 2 dimensions. |
Class Notes:
Bra-ket
Notation
RHB 8.1-8.2
Boas 10.1-10.3
Arfken 3.3 |
|
3
W 1/7
304
|
Rotations in 3 Dimensions:
Rotations around an axis.
Repeated rotations.
Non-commutativity.
Examples: rotations, reflections,
dilations, projections |
RHB 8.12 |
HW 1
Sol. 1
Quiz 1
|
4
R 1/8
304
|
Eigenvectors & Eigenvalues:
How to find eigenvalues.
Characteristic equation.
How to find eigenvectors.
Practice with Eigenvectors & Eigenvalues:
Worksheet: Eigenvalues
& Eigenvectors.
Examples: rotations, reflections,
Homework: Pauli spin matrices |
RHB 8.14
Boas 10.4
Schaum's 8.3-8.5
Arfken 3.5 |
|
5
F 1/9
304
|
Special Properties of Hermitian Matrices:
Real eigenvalues.
Orthonormality.
Example: Hamiltonians and energies. |
RHB 8.13.2
Arfken 3.4
RHB 8.13, 8.15-8.16
Arfken 3.6 |
HW 2
Sol 2 Practice
Sol. 2
Quiz 2
|
|
M 1/12
|
PH 425 begins. |
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