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Chemistry 542 Quantum Mechanics

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Chemistry 542 Quantum Mechanics

Chemistry College Of Liberal Arts And Sciences

The Split Operator Method

November 22, 2024

How to use the split operator method to time evolve a wavefunction.

Lectures, Discussions, Labs

Density Functional Theory
The Hartree-Fock Method
The Variational Method
The Split Operator Method Pt. II
The Split Operator Method
The Finite Difference Method
Time Evolution: The Heisenberg x(t) and p(t) Operators
The Heisenberg Equation of Motion
Time Evolution of States
Expectation Values for Time Evolving States
Introduction to Time Evolution
Clebsch-Gordan Tables
Addition of Angular Momemtum
Exam 2
Angular Momentum Review
Degenerate Perturbation Theory
Perturbation Theory
Fourier Transformation between x and p
Continuous States
Unitary Operators and Transformation of Basis
The Uncertainty Principle
Pauli Spin Operators and Commutation
Spin States and Operators
Operators as Matrices Pt. II
Functions of Operators and Matrix Representation
Dirac Notation: Operators
Dirac Notation: The Outer Product
Introduction to Dirac Notation
Exam 1
The Hydrogen Atom
The Particle in a Sphere
The Particle in a Ring
Introduction to Multidimensional Quantum Mechanics
Creation and Annihilation Operators Pt. II
Introduction to Creation / Annihilation Operators
Resonance on 1D Potential Surfaces
Scattering Resonances
Particle in a Finite Box
Flat Potential Wavefunctions
One-dimensional Wave Mechanics
Diffraction of Matter
Introduction to Wave Equations

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