Schedule Sort by: Date Monday Aug 23 2021 Introduction to Wave Equations Introduction to the Wave Equation Video Reading Ch. 12, 13 of Free Energy Wednesday Aug 25 2021 Diffraction of Matter How matter can diffract just like light through a grating. Video Friday Aug 27 2021 One-dimensional Wave Mechanics The wavefunction solution to the flat potential surface. Video Monday Aug 30 2021 Flat Potential Wavefunctions How to solve differential equations and the flat potential wavefunctions. Video Tuesday Aug 31 2021 Problem Set 1 Review Review session for the 1st HW. Video Wednesday Sep 01 2021 Particle in a Finite Box How to solve the particle in a finite box. Video Friday Sep 03 2021 Scattering Resonances, the Double Delta Potential The Double Delta function potential trap. Video Wednesday Sep 08 2021 Resonance on 1D Potential Surfaces Understanding resonances on 1D potential surfaces. Video Friday Sep 10 2021 Introduction to Multidimensional Quantum Mechanics The 3D kinetic energy operator. Video Monday Sep 13 2021 The Particle in a Ring 2D quantum mechanics and the particle in a ring problem. Video Wednesday Sep 15 2021 The Particle in a Sphere The 3D Schrodinger equation as applied to the particle in a sphere problem. Video Friday Sep 17 2021 Multielectron Atoms How hydrogenic wavefunctions are applied to describe other atoms. Video Monday Sep 20 2021 Introduction to Dirac Notation Intro to Dirac Notation via the Stern-Gerlach experiment. Video Wednesday Sep 22 2021 Dirac Notation: Introduction to Operators How to use the resolution of the identity in various proofs. Video Friday Sep 24 2021 Exam 1 Exam 1 answer key is here. Monday Sep 27 2021 More on Operators Introduction to operators as described using Dirac Notation Video Wednesday Sep 29 2021 Functions of Operators and Matrix Representation More info on operators and Dirac Notation Video Friday Oct 01 2021 Operators as Matrices Pt. II More on the representation of operators in a basis. Video Monday Oct 04 2021 Spin States and Operators How to define spin states and operators Video Wednesday Oct 06 2021 Pauli Spin Operators and Commutation More on spin 1/2 systems. Video Friday Oct 08 2021 The Uncertainty Principle Pt. I How to derive the Heisenberg Uncertainty Principle Video Monday Oct 11 2021 Unitary Operators and Transformation of Basis Introduction to Unitary Operators Video Tuesday Oct 12 2021 Problem Set 6 Review Review session for the 6th HW. Video Wednesday Oct 13 2021 Unitary Transformation of Operators and Eigenvectors Transforming operators into different basis sets. Video Friday Oct 15 2021 Continuous States Representation in position and momentum. Video Monday Oct 18 2021 The Momentum Operator How to use the momentum operator in Dirac Notation Video Tuesday Oct 19 2021 Problem Set 7 Review HW help Video Wednesday Oct 20 2021 Fourier Transformation between X and P How to connect wavefunctions of p to wavefunctions of x. Video Friday Oct 22 2021 Introduction to Time Evolution Gaussian Wavepackets and the Time Evolution Operator Video Monday Oct 25 2021 Time Evolution: The Dyson Series How the Dyson series representation of quantum time evolution is determined. Video Tuesday Oct 26 2021 Problem Set 8 Review Homework help Video Wednesday Oct 27 2021 Expectation Values for Time Evolving States How to time-evolve using the Schrodinger picture Video Friday Oct 29 2021 Exam 2 Download the answer key here. Monday Nov 01 2021 Time Evolution of States The Schrodinger frame of time evolution and an example of spin precession Video Wednesday Nov 03 2021 The Heisenberg Equation of Motion How to evolve operators over time. Video Friday Nov 05 2021 Time Evolution: The Heisenberg x(t) and p(t) Operators How to calculate the time dependence to x and p in the Heisenberg frame. Video Monday Nov 08 2021 Introduction to Creation / Annihilation Operators How to solve the harmonic potential using creation / annihilation operators. Video Tuesday Nov 09 2021 Problem Set 9 Review Help on PS 9 Video Wednesday Nov 10 2021 Creation and Annihilation Operators Pt. II More on these operators. Video Friday Nov 12 2021 Two Level Systems This is what happens when you add two coupled Hamiltonians into an interacting system. Video Monday Nov 15 2021 Two Level Systems and Intro to the FDM Method Two level systems pt. 2 and introduction to the finite difference method. Video Wednesday Nov 17 2021 The Finite Difference Method Numerical recipes for quantum mechanics! Video Friday Nov 19 2021 The Split Operator Method How to use the split operator method to time evolve a wavefunction. Video Monday Nov 22 2021 Perturbation Theory Non-degenerate Perturbation theory. Video Wednesday Nov 24 2021 Degenerate Perturbation Theory An example of perturbation theory, and what to do with perturbation theory when you have degenerate states. Video Monday Nov 29 2021 Angular Momentum Review A review of angular momentum operators. Video Wednesday Dec 01 2021 Addition of Angular Momemtum Raising and lowering operators! Video Thursday Dec 02 2021 Problem Set 10 Review Good luck with your programs. Video Friday Dec 03 2021 Clebsch-Gordan Tables Linear combinations of wavefunctions. Video
Monday Aug 23 2021 Introduction to Wave Equations Introduction to the Wave Equation Video Reading Ch. 12, 13 of Free Energy
Wednesday Aug 25 2021 Diffraction of Matter How matter can diffract just like light through a grating. Video
Friday Aug 27 2021 One-dimensional Wave Mechanics The wavefunction solution to the flat potential surface. Video
Monday Aug 30 2021 Flat Potential Wavefunctions How to solve differential equations and the flat potential wavefunctions. Video
Friday Sep 03 2021 Scattering Resonances, the Double Delta Potential The Double Delta function potential trap. Video
Wednesday Sep 08 2021 Resonance on 1D Potential Surfaces Understanding resonances on 1D potential surfaces. Video
Friday Sep 10 2021 Introduction to Multidimensional Quantum Mechanics The 3D kinetic energy operator. Video
Monday Sep 13 2021 The Particle in a Ring 2D quantum mechanics and the particle in a ring problem. Video
Wednesday Sep 15 2021 The Particle in a Sphere The 3D Schrodinger equation as applied to the particle in a sphere problem. Video
Friday Sep 17 2021 Multielectron Atoms How hydrogenic wavefunctions are applied to describe other atoms. Video
Monday Sep 20 2021 Introduction to Dirac Notation Intro to Dirac Notation via the Stern-Gerlach experiment. Video
Wednesday Sep 22 2021 Dirac Notation: Introduction to Operators How to use the resolution of the identity in various proofs. Video
Monday Sep 27 2021 More on Operators Introduction to operators as described using Dirac Notation Video
Wednesday Sep 29 2021 Functions of Operators and Matrix Representation More info on operators and Dirac Notation Video
Friday Oct 01 2021 Operators as Matrices Pt. II More on the representation of operators in a basis. Video
Friday Oct 08 2021 The Uncertainty Principle Pt. I How to derive the Heisenberg Uncertainty Principle Video
Monday Oct 11 2021 Unitary Operators and Transformation of Basis Introduction to Unitary Operators Video
Wednesday Oct 13 2021 Unitary Transformation of Operators and Eigenvectors Transforming operators into different basis sets. Video
Wednesday Oct 20 2021 Fourier Transformation between X and P How to connect wavefunctions of p to wavefunctions of x. Video
Friday Oct 22 2021 Introduction to Time Evolution Gaussian Wavepackets and the Time Evolution Operator Video
Monday Oct 25 2021 Time Evolution: The Dyson Series How the Dyson series representation of quantum time evolution is determined. Video
Wednesday Oct 27 2021 Expectation Values for Time Evolving States How to time-evolve using the Schrodinger picture Video
Monday Nov 01 2021 Time Evolution of States The Schrodinger frame of time evolution and an example of spin precession Video
Friday Nov 05 2021 Time Evolution: The Heisenberg x(t) and p(t) Operators How to calculate the time dependence to x and p in the Heisenberg frame. Video
Monday Nov 08 2021 Introduction to Creation / Annihilation Operators How to solve the harmonic potential using creation / annihilation operators. Video
Friday Nov 12 2021 Two Level Systems This is what happens when you add two coupled Hamiltonians into an interacting system. Video
Monday Nov 15 2021 Two Level Systems and Intro to the FDM Method Two level systems pt. 2 and introduction to the finite difference method. Video
Friday Nov 19 2021 The Split Operator Method How to use the split operator method to time evolve a wavefunction. Video
Wednesday Nov 24 2021 Degenerate Perturbation Theory An example of perturbation theory, and what to do with perturbation theory when you have degenerate states. Video