Physics 313: Quantum Mechanics I

Fall 2024 Course schedule

Note: this schedule is tentative. While the test dates are set, the exact material distributions between the lectures may change and will be updated regularly to reflect the topics discussed in class. All homework assignments must be submitted via Blackboard site by 11.59pm on the due date.

Week

Material covered

Homework assignment

Additional materials

8/28-8/30

(short week)

Quantum states, Electron spin

Classical vs quantum measurements(8/28)

Stern-Gerlach apparatus for spin measurements(8/28)

No homework

Optional complex number practice

Review of complex numbers and linear algebra

Complex numbers on-line calculator

9/02-9/06

9/02 Labor day, no classes

Stern-Gerlach experiment, quantum spin states (ch. 1)

Quantum state vectors(9/04)

Averages and uncertainties, Bloch sphere (9/06)

No homework

EdX course with spin simulations

Useful math handout

9/09-9/13

Quantum states as vectors (ch. 2)

Vector representation of quantum states (9/09)

Quantum operators (9/11)

Anglular momentum operators (9/13)

Homework #1

Solutions

Due 9/11

 

9/16-9/20

Quantum manipulations (ch. 2,3)

Basis transformations (9/16)

Uncertainty principle (9/16)

Quantum computing lingvo(9/18)

Which way information (9/20)

Quantum cryptography:short video and a slightly longer video (9/20)

Homework #2

Solutions

Due 9/18

 

9/23-9/27

Angular momentum states (ch. 3)

Spin-1 particles (9/23)

Raising and lowering operators (9/25)

Time evolution of quantum states (9/27)

Homework #3

Due 9/25

Solutions

 

9/30-10/04

Schrodinger equation, time evolution (ch. 4)

Spin-1/2 in magnetic field (9/30)

Two-level system examples (10/02)

Two-particle eigenistates (10/04)

Homework #4

Due 10/02

Solutions

 

10/07-10/11

Spin-spin interaction (10/07)

Midterm test #1 (10/09) Solutions

10/11 Fall break, no classes

No homework

 

10/14-10/18

Two-spin system, entanglement (ch. 5)

Entanglement and EPR paradox (10/14)

Quantum teleportation (10/16)

Position and momentum in QM (10/18)

No homework

Seminal papers on EPR paradox

10/21-10/25

1D motion and wave functions (ch. 6)

Motion in flat potential lanscapes(10/21 and 10/23)

Finite potential steps and wells(10/25)

Homework #5

Due 10/25

Solutions: mostly required problems and mostly optional problems

 

10/28-11/01

Solutions of the Schrodinger equation (ch. 6,7)

Quantum interference(10/28)

Quantum state evolution(11/1)

Homework #6

Due 11/01

Solutions

 

11/04-11/8

1D harmonic oscillator (ch. 7)

Introduction to a quantum oscillator(11/4)

Ladder operators, light as SHO(11/6)

Midterm test #2 (11/08) Solutions

No homework

 

11/11-11/15

3D motion (ch. 9)

2D/3D square well(11/11)

Shrodinger eqn in spherical coordinates(11/13)

Molecular rotor(11/15)

Homework #7

Due 11/13

Solutions

Spherical harmonics visualization

11/18-11/22

Angular momentum conservation and eigenfunctions (ch.9, 10)

Rotovibrational spectrum(11/18)

Hydrogen atom (11/18)

Pauli exclusion principle and multi-electron atoms (11/20)

Homework #8

Due 11/20

 

11/25-11/29

11/27-29 Thanksgiving break, no class

No homework

 

12/02-12/06

Bound states in a spherically symmetric potential (ch. 10)

Homework #9

Due 12/04

 

12/10

Final exam (2.00-5.00 pm)