Schedule Sort by: Date Monday Aug 26 2024 Introduction to Wave Equations Introduction to the Wave Equation Reading Please familiar yourself with basic undergraduate quantum mechanics by this time. I recommend Chapters 12, 13 of “Free Energy“. Wednesday Aug 28 2024 Diffraction of Matter How matter can diffract just like light through a grating. Griffiths, "Introduction to Quantum Mechanics" Chapter 1 Friday Aug 30 2024 One-dimensional Wave Mechanics The wavefunction solution to the flat potential surface. Griffiths, "Introduction to Quantum Mechanics" Chapter 2 Wednesday Sep 04 2024 Flat Potential Wavefunctions How to solve differential equations and the flat potential wavefunctions. Griffiths, "Introduction to Quantum Mechanics" Chapter 2 Friday Sep 06 2024 Particle in a Finite Box How to solve the particle in a finite box. Griffiths, "Introduction to Quantum Mechanics" Chapter 2 Monday Sep 09 2024 Scattering Resonances The Double Delta function potential trap. Griffiths, "Introduction to Quantum Mechanics" Chapter 2 Wednesday Sep 11 2024 Resonance on 1D Potential Surfaces Understanding resonances on 1D potential surfaces. Griffiths, "Introduction to Quantum Mechanics" Chapter 2 Friday Sep 13 2024 Introduction to Creation / Annihilation Operators How to solve the harmonic potential using creation / annihilation operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 2.3 Monday Sep 16 2024 Creation and Annihilation Operators Pt. II More on these operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 2.3 Wednesday Sep 18 2024 Introduction to Multidimensional Quantum Mechanics The 3D kinetic energy operator. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1 Friday Sep 20 2024 The Particle in a Ring 2D quantum mechanics and the particle in a ring problem. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1 Monday Sep 23 2024 The Particle in a Sphere The 3D Schrodinger equation as applied to the particle in a sphere problem. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1 Wednesday Sep 25 2024 The Hydrogen Atom How hydrogenic wavefunctions are applied to describe other atoms. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.2 Friday Sep 27 2024 Exam 1 Exam 1 answer key is here. Monday Sep 30 2024 Introduction to Dirac Notation Intro to Dirac Notation via the Stern-Gerlach experiment. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2 Wednesday Oct 02 2024 Dirac Notation: The Outer Product How to use the resolution of the identity in various proofs. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2 Friday Oct 04 2024 Dirac Notation: Operators Introduction to operators as described using Dirac Notation Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2 Monday Oct 07 2024 Functions of Operators and Matrix Representation More info on operators and Dirac Notation Griffiths, "Introduction to Quantum Mechanics" Chapter 3 Wednesday Oct 09 2024 Operators as Matrices Pt. II More on the representation of operators in a basis. Griffiths, "Introduction to Quantum Mechanics" Chapter 3 Friday Oct 11 2024 Spin States and Operators How to define spin states and operators Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.1 and 4.4.2 Monday Oct 14 2024 Pauli Spin Operators and Commutation More on spin 1/2 systems. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.1 and 4.4.2 Wednesday Oct 16 2024 The Uncertainty Principle How to derive the Heisenberg Uncertainty Principle Griffiths, "Introduction to Quantum Mechanics" Chapter 3.5 Friday Oct 18 2024 Unitary Operators and Transformation of Basis Introduction to Unitary Operators Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3 Monday Oct 21 2024 Continuous States Representation in position and momentum. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3 Wednesday Oct 23 2024 Fourier Transformation between x and p How to connect wavefunctions of p to wavefunctions of x. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3 Friday Oct 25 2024 Perturbation Theory Non-degenerate Perturbation theory. Griffiths, "Introduction to Quantum Mechanics" Chapter 7 Monday Oct 28 2024 Degenerate Perturbation Theory An example of perturbation theory, and what to do with perturbation theory when you have degenerate states. Griffiths, "Introduction to Quantum Mechanics" Chapter 7 Wednesday Oct 30 2024 Angular Momentum Review A review of angular momentum operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.3 Friday Nov 01 2024 Exam 2 Download the answer key here. Monday Nov 04 2024 Addition of Angular Momemtum Raising and lowering operators! Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.3 Wednesday Nov 06 2024 Clebsch-Gordan Tables Linear combinations of wavefunctions. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.3 Friday Nov 08 2024 Introduction to Time Evolution Gaussian Wavepackets and the Time Evolution Operator Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8 Monday Nov 11 2024 Expectation Values for Time Evolving States How to time-evolve using the Schrodinger picture Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8 Wednesday Nov 13 2024 Time Evolution of States The Schrodinger frame of time evolution and an example of spin precession Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8 Friday Nov 15 2024 The Heisenberg Equation of Motion How to evolve operators over time. Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8 Monday Nov 18 2024 Time Evolution: The Heisenberg x(t) and p(t) Operators How to calculate the time dependence to x and p in the Heisenberg frame. Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8 Wednesday Nov 20 2024 The Finite Difference Method Numerical recipes for quantum mechanics! Matlab for the Physical Scientist Friday Nov 22 2024 The Split Operator Method How to use the split operator method to time evolve a wavefunction. Matlab for the Physical Scientist Monday Nov 25 2024 The Split Operator Method Pt. II Examples of the Split Operator method. Matlab for the Physical Scientist Monday Dec 02 2024 The Variational Method The variational method for calculating energies. Griffiths, "Introduction to Quantum Mechanics" Chapter 8 Wednesday Dec 04 2024 The Hartree-Fock Method Introduction to the Hartree Fock Method Friday Dec 06 2024 Density Functional Theory The Jacobs’ ladder of functionals.
Monday Aug 26 2024 Introduction to Wave Equations Introduction to the Wave Equation Reading Please familiar yourself with basic undergraduate quantum mechanics by this time. I recommend Chapters 12, 13 of “Free Energy“.
Wednesday Aug 28 2024 Diffraction of Matter How matter can diffract just like light through a grating. Griffiths, "Introduction to Quantum Mechanics" Chapter 1
Friday Aug 30 2024 One-dimensional Wave Mechanics The wavefunction solution to the flat potential surface. Griffiths, "Introduction to Quantum Mechanics" Chapter 2
Wednesday Sep 04 2024 Flat Potential Wavefunctions How to solve differential equations and the flat potential wavefunctions. Griffiths, "Introduction to Quantum Mechanics" Chapter 2
Friday Sep 06 2024 Particle in a Finite Box How to solve the particle in a finite box. Griffiths, "Introduction to Quantum Mechanics" Chapter 2
Monday Sep 09 2024 Scattering Resonances The Double Delta function potential trap. Griffiths, "Introduction to Quantum Mechanics" Chapter 2
Wednesday Sep 11 2024 Resonance on 1D Potential Surfaces Understanding resonances on 1D potential surfaces. Griffiths, "Introduction to Quantum Mechanics" Chapter 2
Friday Sep 13 2024 Introduction to Creation / Annihilation Operators How to solve the harmonic potential using creation / annihilation operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 2.3
Monday Sep 16 2024 Creation and Annihilation Operators Pt. II More on these operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 2.3
Wednesday Sep 18 2024 Introduction to Multidimensional Quantum Mechanics The 3D kinetic energy operator. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1
Friday Sep 20 2024 The Particle in a Ring 2D quantum mechanics and the particle in a ring problem. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1
Monday Sep 23 2024 The Particle in a Sphere The 3D Schrodinger equation as applied to the particle in a sphere problem. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.1
Wednesday Sep 25 2024 The Hydrogen Atom How hydrogenic wavefunctions are applied to describe other atoms. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.2
Monday Sep 30 2024 Introduction to Dirac Notation Intro to Dirac Notation via the Stern-Gerlach experiment. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2
Wednesday Oct 02 2024 Dirac Notation: The Outer Product How to use the resolution of the identity in various proofs. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2
Friday Oct 04 2024 Dirac Notation: Operators Introduction to operators as described using Dirac Notation Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.2
Monday Oct 07 2024 Functions of Operators and Matrix Representation More info on operators and Dirac Notation Griffiths, "Introduction to Quantum Mechanics" Chapter 3
Wednesday Oct 09 2024 Operators as Matrices Pt. II More on the representation of operators in a basis. Griffiths, "Introduction to Quantum Mechanics" Chapter 3
Friday Oct 11 2024 Spin States and Operators How to define spin states and operators Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.1 and 4.4.2
Monday Oct 14 2024 Pauli Spin Operators and Commutation More on spin 1/2 systems. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.1 and 4.4.2
Wednesday Oct 16 2024 The Uncertainty Principle How to derive the Heisenberg Uncertainty Principle Griffiths, "Introduction to Quantum Mechanics" Chapter 3.5
Friday Oct 18 2024 Unitary Operators and Transformation of Basis Introduction to Unitary Operators Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3
Monday Oct 21 2024 Continuous States Representation in position and momentum. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3
Wednesday Oct 23 2024 Fourier Transformation between x and p How to connect wavefunctions of p to wavefunctions of x. Griffiths, "Introduction to Quantum Mechanics" Chapter 3.6.3
Friday Oct 25 2024 Perturbation Theory Non-degenerate Perturbation theory. Griffiths, "Introduction to Quantum Mechanics" Chapter 7
Monday Oct 28 2024 Degenerate Perturbation Theory An example of perturbation theory, and what to do with perturbation theory when you have degenerate states. Griffiths, "Introduction to Quantum Mechanics" Chapter 7
Wednesday Oct 30 2024 Angular Momentum Review A review of angular momentum operators. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.3
Monday Nov 04 2024 Addition of Angular Momemtum Raising and lowering operators! Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.3
Wednesday Nov 06 2024 Clebsch-Gordan Tables Linear combinations of wavefunctions. Griffiths, "Introduction to Quantum Mechanics" Chapter 4.4.3
Friday Nov 08 2024 Introduction to Time Evolution Gaussian Wavepackets and the Time Evolution Operator Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8
Monday Nov 11 2024 Expectation Values for Time Evolving States How to time-evolve using the Schrodinger picture Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8
Wednesday Nov 13 2024 Time Evolution of States The Schrodinger frame of time evolution and an example of spin precession Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8
Friday Nov 15 2024 The Heisenberg Equation of Motion How to evolve operators over time. Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8
Monday Nov 18 2024 Time Evolution: The Heisenberg x(t) and p(t) Operators How to calculate the time dependence to x and p in the Heisenberg frame. Griffiths, "Introduction to Quantum Mechanics" Chapter 6.8
Wednesday Nov 20 2024 The Finite Difference Method Numerical recipes for quantum mechanics! Matlab for the Physical Scientist
Friday Nov 22 2024 The Split Operator Method How to use the split operator method to time evolve a wavefunction. Matlab for the Physical Scientist
Monday Nov 25 2024 The Split Operator Method Pt. II Examples of the Split Operator method. Matlab for the Physical Scientist
Monday Dec 02 2024 The Variational Method The variational method for calculating energies. Griffiths, "Introduction to Quantum Mechanics" Chapter 8