PHYS3022 Applied Quantum Mechanics (2020-2021 Term 2)
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PHYS3022 Applied Quantum Mechanics (2020-2021 Term 2)
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Class Notes [Front Matter]
Front Matter - Assessment Mode - TA contacts - Academic Honesty Announcement
Course Time Table - Lecture Hours - Exercise Classes - TA Consultation Hours
Course Learning Outcomes
AQM - Ch 0 - Introduction and Background Assumed
List of Books

Class Notes [Methods (mostly techniques of approximations) in QM]
AM Part 0 - Motivation and Why do we need approximations
AM Part 1 - Turning TISE into a Huge Matrix Problem
AM Part 2 - Variational Methods - The Theorem and How it works
AM Part 3 - Time-independent Perturbation Theory - 1st order correction to energy by argument
AM Part 4 - Time-independent Non-degenerate Perturbation Theory - up to 1st order
AM Part 5 - Non-degenerate Perturbation Theory up to 2nd order - Matrix viewpoint - Degenerate Perturbation Theory
Cross Reference - LMI Appendix A - TIme-dependent Perturbation Theory and Transition probability amplitude from initial to final states derived

Class Notes [Physics of Atoms - More on Hydrogen, Beyond Hydrogen and the Periodic Table]
AP I Part 1 - H-atom spectroscopic data - Questions to explore - External B-field and Zeeman Effect
AP I Part 2 - Spin Angular Momentum and Spin Magnetic Dipole Moment - Atomic states including electron spin
AP I Part 3 - General Angular Momentum in QM - Adding two angular momenta to form Total Angular Momentum - Spin Singlet and Spin Triplet
AP I Part 4 - Spin-Orbit Interaction and Forms of the Interaction Term
AP I Part 5 - Effects of Spin-Orbit Interaction in Atoms - Fine Structures
AP I Part 6 - Term Symbols are used in Data Tables and Comparing results with H-atom data
AP I Part 7 - The Zeeman Effects Revisited (Strong field and Weak field cases)
AP I Part 8 - Hyperfine Structure - 21 cm line of hydrogen - radio astronomy - references
AP I Extension - Frontier Topics using precise H-atom spectroscopy
AP II Part 1 - Multi-electron Atoms - many-electron QM problems that no one can solve
AP II Part 2 - Helium Ground State as a guiding light on handling electron-electron interaction and Reduction to approximate one-electron problem
AP II Appendix A - Atomic Units are often used in atomic and molecular physics problems
AP II Part 3 - Independent-Particle Approximation and Atomic States
AP II Appendix B - Idea of Hartree-Fock Self-Consistent Field Theory - One-electron energy levels of atoms
AP II Part 4 - Antisymmetric many-electron wavefunctions - Slater determinant - Pauli Exclusion Principle - Degenerate Pressure
AP II Part 5 - Helium Ground State is a Spin Singlet - Spin Triplet states in adding two spins
AP II Part 6 - Helium first excited state - Exchange Integral - Origin of Magnetism
AP II Part 7 - The Periodic Table - Electronic configurations of atoms - Hund Rules
AP II Optional Asides - Total Angular Momentum in atoms and Hund Rules

Class Notes [Atomic transitions, Light-Matter Interaction and Approximation (continued)]
LMI Part 1 - The problem of transitions - Electric Dipole Mechanism - Key result of transition problem amplitude from initial to final state
LMI Appendix A - TIme-dependent Perturbation Theory and Transition probability amplitude from initial to final states derived
LMI Part 2 (revised) - Seeing Absorption and Stimulated Emission from Schrodinger QM - Selection Rule and Energy Criterion
LMI Part 3 - From transition probability to transition rates of stimulated absorption and stimulated emission
LMI Part 4 - Einstein A and B Coefficients and Spontaneous emission rate and Life time of an excited state
LMI Part 5 - Metastable States and Stimulated Emission are crucial for LASER

Class Notes [Physics of Molecules]
MPI Part 1 - What is the Molecular Problem and Energetics
MPI Part 2 - Understanding the Difficultes of the Molecular Problem and Finding a way out
MPI Part 3 - The Born-Oppenheimer Approximation - The Big Picture - Do electronic part first and followed by nuclear motions
MPI Part 4 - Linear Combination of Atomic Orbitals (LCAO - MO) and Quantum Nature of Bonding - H2+ molecular ion as example
MPI Appendix A - H2+ molecular ion - LCAO-MO - Quantitative Treatment and Quantum Nature of Bonding

Class Notes [Miscellaneous Topics (Optional)]

back-up category

Supplementary Learning Materials

Class Notes [Back Matter]

Sample Questions for Exercise Classes
Sample Questions SQ1,2,3 for Week 2 (18 - 22 Jan 2021) Exercise Classes
Sample Questions SQ4,5 for Week 3 (25 - 29 Jan 2021) Exercise Classes
Sample Questions SQ6,7 for Week 4 (1 - 5 Feb 2021) Exercise Classes
Sample Questions SQ8,9,10 for Week 5 (8-11 Feb 2021) Exercise Classes
Sample Questions SQ11,12,13 for Week 6 (22 - 26 Feb 2021) Exercise Classes
Sample Questions SQ14,15 for Week 7 (1 - 5 March 2021) Exercise Classes
Sample Questions SQ16,17 for Week 8 (8 - 12 March 2021) Exercise Classes
Sample Questions SQ18,19 for Week 9 (15 - 19 March 2021) Exericse Classes
Sample Questions SQ20,21 for Week 10 (22 - 26 March 2021) Exercise Classes

Solutions to Sample Questions for Exercise Classes
Solutions to Sample Questions 1, 2, 3
Solutions to Sample Questions 4,5
Solutions to Sample Questions 6,7
Solutions to Sample Questions 8, 9, 10
Solutions to Sample Questions 11,12,13
Solutions to Sample Questions 14,15
Solutions to Sample Questions 16, 17
Solutions to Sample Questions 18,19
Solutions to Sample Questions 20,21

Problem Sets
Problem Set 1 (due 25 Jan 2020)
Problem Set 2 (due 10 Feb 2021)
Problem Set 3 (due 4 March 2021)
Problem Set 4 (due 18 March 2021)

Solutions to Problem Sets
Solutions to Problem Set 1
Solutions to Problem Set 2
Solutions to Problem Set 3

Other Learning Materials and Announcements

Erratum (Corrected typos on pages of class notes)