Week 3 January 15-19: Introduction to the course and start Variational Monte Carlo
Contents
Overview of first week, January 15-19
Material this week
Teaching team
Textbooks
Lectures and ComputerLab
Course Format
Aims
More aims
Topics covered in this course
More on topics covered in this course
Other topics covered in this course
Last (?) word on topics covered in this course
Quantum Monte Carlo Motivation
Quantum Monte Carlo Motivation
Quantum Monte Carlo Motivation
Various many-body methods
Pros and Cons of Monte Carlo
More on Pros and Cons of Monte Carlo
Where and why do we use Monte Carlo Methods in Quantum Physics
Quantum Monte Carlo Motivation
Quantum Monte Carlo Motivation
Quantum Monte Carlo Motivation
Quantum Monte Carlo Motivation
Quantum Monte Carlo, ingredients and basic steps
Quantum Monte Carlo, basic steps, the probability distribution function (PDF)
Quantum Monte Carlo ingredients, the local energy
Quantum Monte Carlo algorithm
Quantum Monte Carlo: hydrogen atom
Introducing the variational parameters
Quantum Monte Carlo: results for the hydrogen atom
Quantum Monte Carlo: interpreting the hydrogen atom results
"Quantum Monte Carlo for bosons":"https://github.com/mortele/variational-monte-carlo-fys4411"
"Quantum Monte Carlo for bosons":"https://github.com/mortele/variational-monte-carlo-fys4411"
"Quantum Monte Carlo for bosons":"https://github.com/mortele/variational-monte-carlo-fys4411"
"Quantum Monte Carlo for bosons":"https://github.com/mortele/variational-monte-carlo-fys4411"
Simple example, the hydrogen atom
Second example, the harmonic oscillator in one dimension
Introducing the variational parameters
We introduce the variational parameter \( \alpha \) in the trial wave function
$$ u_T^{\alpha}(\rho)=\alpha\rho e^{-\alpha\rho}. $$
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