Quantum Mechanics II Spring 2021 Notes and Activities

Week 14 - Non-degenerate Perturbation Theory

No Pre-class survey

No New Course Notes & Videos

In-Class Activities

• Day 38 - Mon. Apr 18th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 39 - Wed. Apr 21st
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 13 (Due Wednesday Apr 21st)
• Turn in the paper-based homework via Gradescope.

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Week 13 - Non-degenerate Perturbation Theory

Pre-class survey (Due Sunday Apr 11th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 13 by Sunday Apr 11th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 13 pre-class assignment by 11:59pm on Sunday Apr 11th to receive credit.

Course Notes & Videos

Videos

• Perturbation Theory - Two Level (YouTube)
• Perturbation Theory - Spin one half Example (YouTube)
• Non-degenerate Perturbation Theory (YouTube)

Notes

• 29 - Perturbation Theory - Two Level (PDF)
• 30 - Perturbation Theory - Spin one half Example (PDF)
• 31 - Non-degenerate Perturbation Theory (PDF)

In-Class Activities

• Day 35 - Mon. Apr 12th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 36 - Wed. Apr 14th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 37 - Fri. Apr 16th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 12 (Due Friday Apr 16th)
• Turn in the paper-based homework via Gradescope.

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Week 12 - Representations of the Quantum Harmonic Oscillator

Pre-class survey (Due Sunday Apr 4th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 12 by Sunday Apr 4th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 12 pre-class assignment by 11:59pm on Sunday Apr 4th to receive credit.

Course Notes & Videos

Videos

• Position Representation of the QHO (YouTube)
• Beyond the Ground State of the QHO (YouTube)
• Matrix Representation of the QHO (YouTube)

Notes

• 27 - Wavefunctions of the QHO (PDF)
• 28 - Matrix Representations for the QHO (PDF)

In-Class Activities

• Day 32 - Mon. Apr 5th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 33 - Wed. Apr 7th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 34 - Fri. Apr 9th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 11 (Due Friday Apr 9th)
• Turn in your Project Updates via Dropbox turn-in.

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Week 11 - Quantum Harmonic Oscillator

Pre-class survey (Due Sunday Mar 28th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 11 by Sunday Mar 28th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 11 pre-class assignment by 11:59pm on Sunday Mar 28th to receive credit.

Course Notes & Videos

Videos

• Classical SHO (YouTube)
• Factoring the Hamiltonian for the QHO (YouTube)
• Energy Eigenvalues of the QHO (YouTube)

Notes

• 25 - Classical Harmonic Oscillator (PDF)
• 26 - Quantum Harmonic Oscillator (PDF)

In-Class Activities

• Day 29 - Mon. Mar 29th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 30 - Wed. Mar 31st
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 31 - Fri. Apr 2nd (same as Day 30)
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 10 (Due Friday Apr 2nd)
• Turn in the paper-based homework via Gradescope.

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Week 10 - Solving the Hydrogen Atom

Pre-class survey (Due Sunday Mar 21st)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 10 by Sunday Mar 21st at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 10 pre-class assignment by 11:59pm on Sunday Mar 21st to receive credit.

Course Notes & Videos

Videos

• The Radial Eigenfunctions (YouTube)
• Hydrogen-like Solutions (YouTube)
• Time Evolution and Superposition States (YouTube)

Notes

• 22 - Radial Solutions (PDF)
• 23 - Hydrogen-like Solutions (PDF)
• 24 - Superposition States (PDF)

In-Class Activities

• Day 26 - Mon. Mar 22nd (no in-class)
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 27 - Wed. Mar 24th
  • Class Recordings Part 1 (YouTube) and Part 2 (YouTube)
  • Handwritten Notes from Discussion
• Day 28 - Fri. Mar 26th
  • Class Recordings (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 9 (Due Friday Mar 26th)
• Turn in your Project Plans via Dropbox turn-in.

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Week 9 - The Hydrogen Atom and the Radial Equation

Pre-class survey (Due Sunday Mar 14th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 9 by Sunday Mar 14th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 9 pre-class assignment by 11:59pm on Sunday Mar 14th to receive credit.

Course Notes & Videos

Videos

• The Radial Equation (YouTube)
• Working with Characteristic Scales (YouTube)
• Solving the Radial Equation (YouTube)

Notes

• 21 - The Radial Equation (PDF)

In-Class Activities

• Day 23 - Mon. Mar 15th (no in-class)
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 24 - Wed. Mar 17th
  • Handwritten Notes from Discussion
• Day 25 - Fri. Mar 19th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 8 (Due Friday Mar 19th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 8 - Separation of Variables II

Pre-class survey (Due Sunday Mar 7th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 8 by Sunday Mar 7th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 8 pre-class assignment by 11:59pm on Sunday Mar 7th to receive credit.

Course Notes & Videos

Videos

• Particle on a Sphere (YouTube)
• Building a Series Solution (YouTube)
• Legendre Polynomials (YouTube)
• Spherical Harmonics (YouTube)

Notes

• 19 - Particle on a Sphere (PDF)
• 20 - Spherical Harmonics (PDF)

In-Class Activities

• Day 20 - Mon. Mar 8th (no in-class)
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 21 - Wed. Mar 10th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• Day 22 - Fri. Mar 12th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 7 (Due Friday Mar 12th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 7 - Separation of Variables

Pre-class survey (Due Sunday Feb 28th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 7 by Sunday Feb 28th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 7 pre-class assignment by 11:59pm on Sunday Feb 28th to receive credit.

Course Notes & Videos

Videos

• Separation of Variables (YouTube)
• Particle on a Ring (YouTube)

Notes

• 17 - Separation of Variables (PDF)
• 18 - Particle on a Ring (PDF)

In-Class Activities

• Day 18 - Mon. Mar 1st (no in-class)
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion
• No Class - Wed. Mar 3rd
• Day 19 - Fri. Mar 5th
  • Class Recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 6 (Due Friday Mar 5th)
• Turn in the paper-based homework via Gradescope.
• No computational problem this week.

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Week 6 - Central Potentials

Pre-class survey (Due Sunday Feb 21st)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 6 by Sunday Feb 21st at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 6 pre-class assignment by 11:59pm on Sunday Feb 21st to receive credit.

Course Notes & Videos

Videos

• Central Potentials (YouTube)
• Angular Momentum (YouTube)

Notes

• 15 - Central Potentials (PDF)
• 16 - Angular Momentum (PDF)

In-Class Activities

• Day 15 - Mon. Feb 22nd (no in-class)
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 16 - Wed. Feb 24th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 17 - Fri. Feb 26th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 5 (Due Friday Feb 26th)
• Turn in the paper-based homework via Gradescope.
• No computational problem this week.

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Week 5 - Scattering and Tunneling

Pre-class survey (Due Sunday Feb 14th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 5 by Sunday Feb 14th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 5 pre-class assignment by 11:59pm on Sunday Feb 14th to receive credit.

Course Notes & Videos

Videos

• Uncertainty Principle (YouTube)
• Scattering (YouTube)
• Tunneling (YouTube)

Notes

• 12 - Uncertainty Principle (PDF)
• 13 - Scattering (PDF)
• 14 - Tunneling (PDF)

In-Class Activities

• Day 12 - Mon. Feb 15th (no in-class)
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 13 - Wed. Feb 17th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 14 - Fri. Feb 19th (no in-class)
  • Handwritten Notes from Discussion

Homework

• Homework 4 (Due Friday Feb 19th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 4 - The Free Particle

Pre-class survey (Due Sunday Feb 7th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 4 by Sunday Feb 7th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 4 pre-class assignment by 11:59pm on Sunday Feb 7th to receive credit.

Course Notes & Videos

Videos

• The Free Particle (YouTube)
• Momentum Eigenstates of the Free Particle (YouTube)
• Properties of Momentum Eigenstates (YouTube)

Notes

• 08 - The Free Particle (PDF)
• 09 - Momentum Eigenstates (PDF)
• 10 - Wavepackets: Discrete (PDF)
• 11 - Wavepackets: Continuous (PDF)

In-Class Activities

• Day 9 - Mon. Feb 8th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
  • Wavepacket Demo (Jupyter)
• Day 10 - Wed. Feb 10th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 11 - Fri. Feb 12th
  • Class recording (YouTube)
  • Handwritten Notes from Discussion

Homework

• Homework 3 (Due Friday Feb 12th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 3 - Finite Square Well and Solving Transcendental Equations

Pre-class survey (Due Sunday Jan 31st)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 3 by Sunday Jan 31st at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 3 pre-class assignment by 11:59pm on Sunday Jan 31st to receive credit.

Course Notes & Videos

Videos

• Setting up the Finite Square Well (YouTube)
• The Bisection Method for Finding Roots (YouTube)

Notes

• 06 Finite Square Well (PDF)
• 07 Root Finding (PDF)

In-Class Activities

• Day 6 - Mon. Feb 1st
  • Class recordings (Part 1) (Part 2)
  • Handwritten Notes from Discussion
• Day 7 - Wed. Feb 3rd
  • Demo Finite Square Well (Jupyter Notebook)
  • Class recording (YouTube)
  • Handwritten Notes from Discussion
• Day 8 - Fri. Feb 5th
  • Handwritten Notes from Discussion

Homework

• Homework 2 (Due Friday Feb 5th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 2 - 1D Wavefunctions and the Infinite Square Well

Pre-class survey (Due Sunday Jan 24th)

• Read through the posted notes and watch the posted videos (below).
• Complete the pre-class survey for Week 2 by Sunday Jan 24th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L Week 2 pre-class assignment by 11:59pm on Sunday Jan 24th to receive credit.

Course Notes & Videos

Videos

• Why do we need a wave function? (YouTube)
• Wavefunctions and the Energy Eigenvalue Equation (YouTube)
• The Energy Eigenvalue Equation and Properties of 1D Wavefunctions (YouTube)

Notes

• 04 Wavefunctions (PDF)
• 05 Infinite Square Well (PDF)

In-Class Activities

• Day 3 - Mon. Jan 25th
  • Class recordings (Part 1) (Part 2)
  • Handwritten Notes from Discussion
• Day 4 - Wed. Jan 27th
  • Handwritten Notes from Discussion
• Day 5 - Fri. Jan. 29th
  • Class recordings (Part 1) (Part 2)
  • Handwritten Notes from Discussion

Homework

• Homework 1 (Due Friday Jan 29th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 1 - Reminders of QM 1

Pre-class survey (Due Tuesday Jan 19th)

• Read through the posted notes (below) and work the Week 0 Activity.
• Complete the pre-class survey for Week 1 by Tuesday Jan 19th at 11:59pm.
• Make sure to copy your questions about this week’s notes in the D2L week 1 pre-class assignment by 11:59pm on Tuesday Jan 19th to receive credit.

Course Notes & Videos

No videos this week as it is a review week

Notes

• 01 Quantum State Vectors (PDF)
• 02 Formalism (PDF)
• 03 Schrodinger Time Evolution (PDF)

In-Class Activities

• Day 1 - Wed. Jan 20th (Spin-1/2: Basis States)
• Day 2 - Fri. Jan 22nd (Spin-1/2: Projections, and Expectation Values) [Mistake 1: Know your basis (YouTube)]
• Handwritten Notes from Discussion

Homework

• Homework 1 (Due Friday Jan 29th)
• Turn in the paper-based homework via Gradescope.
• Turn in your Jupyter notebooks via Dropbox turn-in.

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Week 0

This week is a “reading week” and MSU is discouraging instructors from assigning graded activities. We are encouraged to have you read and review material relevant to the course.

For this week, I encourage you strongly to read Chapters 1-4 of McIntyre, which was the main elements of QM last semester. In addition, the activity below should provide a detailed reminder of the main elements of QM 1 that we will draw on in QM 2. If this formalism and approach are unfamiliar to you, please contact me and I will make time to go over things with you individually this week.

Week 0 Activity

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