Reading Course: Quantum Many-Body Theory


Rensselaer Polytechnic Institute Reading Course, Spring 2024


This is the official website for the reading course: Quantum Many-Body Theory, held in Spring 2024

General information


Instructor: Fabian M. Faulstich

Time: Tue 4:00PM - 6:00PM Amos Eaton 411

Office Hours: Tue 1:00PM-2:00PM, Thu 4:00PM-5PM. 406 Amos Eaton Hall

Schedule

Date Topic Presenter
01/10 Overview of the Quantum Many-Body Problem Fabian Faulstich
01/16 Quantum mechanics of the hydrogen atom Timothy Lund
01/23 The hydrogen molecule and the Hartree-Fock method Ben Freiman
01/30 Second quantization I: Fock space, creation and annihiliation operators, Excitation operators Michael Papadopoulos
02/06 No meeting
02/13 No meeting
02/20 Recap: the Hartree-Fock method (first quantization) Fabian Faulstich
02/27 No meeting
03/12* Second quantization II: Slater-Condon rules, Wick's theorem, Hartree-Fock revisited Edward Lu
03/19 No meeting
03/26* The linear combination of atomic orbitals ansatz Chanaka Mapa Mudiyanselage
04/02 Gaussian-type atomic orbitals and high-dimensional integration Talha Aziz
04/09 Truncating the coupled cluster ansatz and its working equations Ibrahim Abdulazeez
04/16 Finding one and all roots to the coupled cluster equations Francis Appiah

Meetings marked with an asterisk (*) are subject to potential cancellation. In case this happens, the scheduled presenter for that date will present at the next occurring meeting, causing all subsequent presenters to be rescheduled to the following occuring dates.

Textbooks


Mathematics:

A Mathematical Introduction To Electronic Structure Theory by Lin Lin and Jianfeng Lu

Chemistry:

Molecular Electronic‐Structure Theory by Trygve Helgaker, Poul Jørgensen, Jeppe Olsen
Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory by Attila Szabo and Neil S. Ostlund

Physics:

Additional Resources


Notes and Presentations


Fabian Faulstich: Overview of the Quantum Many-Body Problem

Timothy Lund: Quantum mechanics of the hydrogen atom

Ben Freiman: The hydrogen molecule and the Hartree-Fock method

Michael Papadopoulos: Second quantization I: Fock space, creation and annihiliation operators, Excitation operators

Fabian Faulstich: Recap: the Hartree-Fock method (first quantization)

Edward Lu: Second quantization II: Slater-Condon rules, Wick's theorem, Hartree-Fock revisited additional notes [ pdf ]

Chanaka Mapa Mudiyanselage: The linear combination of atomic orbitals ansatz additional notes [ pdf ]

Talha Aziz Gaussian-type atomic orbitals and high-dimensional integration additional notes [ pdf ]