Wigner Formalism and the Wigner Monte Carlo Method Based on Signed Particles

By Jean Michel D Sellier

Bulgarian Academy of Sciences, Sofia, Bulgaria

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Abstract

This is part of a series of lectures on the Wigner formalism and the Wigner Monte Carlo method based on signed particles.

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Bio

Dr. Sellier is Associate Professor at the Bulgarian Academy of Sciences.

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These lectures have been recorded in the academic year 2014/2015 at the Bulgarian Academy of Sciences (BAS), Institute of Information and Communication Technologies (IICT).

Cite this work

Researchers should cite this work as follows:

  • Jean Michel D Sellier (2014), "Wigner Formalism and the Wigner Monte Carlo Method Based on Signed Particles," https://nanohub.org/resources/21711.

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Lecture Number/Topic Online Lecture Video Lecture Notes Supplemental Material Suggested Exercises
Lecture 1: The Wigner Formulation of Quantum Mechanics View HTML
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In this lecture, Dr. Sellier discusses the Wigner formulation of Quantum Mechanics which is based on the concept of quasi-distributions defined over the phase-space.



Lecture 2: The Wigner Monte Carlo Method for Single-Body Quantum Systems View HTML
View Notes (pdf) YouTube

In this lecture, Dr. Sellier discusses the Wigner Monte Carlo method applied to single-body quantum systems.



Lecture 3: The Wigner Monte Carlo Method for Density Functional Theory View HTML
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In this lecture, Dr. Sellier discusses the Wigner Monte Carlo method in the framework of density functional theory (DFT).



Lecture 4: The ab-initio Wigner Monte Carlo Method View HTML
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In this lecture, Dr. Sellier discusses the ab-initio Wigner Monte Carlo method for the simulation of strongly correlated systems.



Lecture 5: Systems of Identical Fermions in the Wigner Formulation of Quantum Mechanics View HTML
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In this lecture, Dr. Sellier discusses about systems of indistinguishable Fermions in the Wigner formulation of quantum mechanics.