Mathematical Foundations of Modern Quantum Many-Body Theory
Rensselaer Polytechnic Institute MATH 6940, Spring 2025
This is the official website for the reading course: Mathematical Foundations of Modern Quantum Many-Body Theory, held in Spring 2025
General information
Instructor: Fabian M. Faulstich
Time: Wed 2:00PM - 4:00PM Amos Eaton 411
Office Hours: TBD
Schedule
| Date | Topic | Presenter |
|---|---|---|
| 02/12 | Introduction to Pseudopotentials | Kangbo Li |
| 02/19 | A static quantum embedding scheme based on coupled cluster theory | Muhammad Talha Aziz |
| 02/26 | Single-ancilla ground state preparation via Lindbladians | Ibrahim Abdulazeez |
| 03/12 | Efficient and accurate approximations to the local coupled cluster singles doubles method using a truncated pair natural orbital basis | Chanaka Mapa Mudiyanselage |
| 03/26 | An Introduction to Hierarchical (H-)Rank and TT-Rank of Tensors with Examples | Jerry Huang |
| 04/02 | TBD | Ibrahim Abdulazeez |
| 04/09 | Rank reduced coupled cluster theory. I. Ground state energies and wavefunctions | Muhammad Talha Aziz |
| 04/16 | An efficient and near linear scaling pair natural orbital based local coupled cluster method | Chanaka Mapa Mudiyanselage |
| 04/23 | Generative Modeling via Hierarchical Tensor Sketching | Jerry Huang |
Meetings marked with an asterisk (*) will be held remotely.
Textbooks
Mathematics:
A Mathematical Introduction To Electronic Structure Theory by Lin Lin and Jianfeng LuChemistry:
Molecular Electronic‐Structure Theory by Trygve Helgaker, Poul Jørgensen, Jeppe OlsenModern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory by Attila Szabo and Neil S. Ostlund
Physics:
Additional Resources
A static quantum embedding scheme based on coupled cluster theory
by Avijit Shee, Fabian M. Faulstich, Birgitta Whaley, Lin Lin and Martin Head-Gordon
Single-ancilla ground state preparation via Lindbladians
by Zhiyan Ding, Chi-Fang Chen and Lin Lin
Efficient and accurate approximations to the local coupled cluster singles doubles method using a truncated pair natural orbital basis
by Frank Neese, Andreas Hansen and Dimitrios G. Liakos
An Introduction to Hierarchical (H-)Rank and TT-Rank of Tensors with Examples
by Lars Grasedyck and Wolfgang Hackbusch
An efficient and near linear scaling pair natural orbital based local coupled cluster method
by Christoph Riplinger and Frank Neese
Generative Modeling via Hierarchical Tensor Sketching
by Yifan Peng, Yian Chen, E. Miles Stoudenmire and Yuehaw Khoo
Rank reduced coupled cluster theory. I. Ground state energies and wavefunctions
by Robert M. Parrish, Yao Zhao, Edward G. Hohenstein, Todd J. Martínez