ESQC Math Obsidian Vault
Canvas
Quantum Chemistry
canvas
Computational regimes

Optimization

Linear Algebra

Group Theory

Functional analysis

Multilinear Algebra

Map of quantum chemistry and mathematics

Ordinary Differential Equations

Partial Differential Equations

Functional Analysis

Convex Analysis

Classical mechanics

  • Lagrange mechanics
  • Hamiltonian mechanics

Differential Geometry

Nonrelativistic Quantum mechanics

  • Molecular Schrödinger equation
  • Semiclassical EM treatment

Linear Algebra

Partial Differential Equations

Operator Algebra

Linear Algebra

Group Theory

Ordinary Differential Equations

Quantum electrodynamics

  • Quantum theory of matter-field interactions
  • Matter interacting with electromagnetic fields
  • Electron spin

Functional analysis

Operator Algebra

Special Relativity

  • Lorenz invariance

Partial Differential Equations

Group Theory

Density-Matrix Renormalizaton Group Theory

Multiconfiguration Theory

Green's Function theory

Group Theory

Many-Body Theory

  • Quantum mechanics for many particles

Partial Differential Equations

Functional Analysis

Born-Oppenheimer Approximation

  • Semiclassical theory of nuclei

Functional analysis

Classical electromagnetism

  • Maxwell's equations

Hartree-Fock theory

Density-functional theory

  • Hohenberg--Kohn theory
  • Lieb theory
  • Kohn-Sham theory

Configuration-Interaction Method

Coupled-Cluster Theory

  • Non-variational theory

Many-body Perturbation Theory

Table Of Contents
Optimization
Linear Algebra
Group Theory
Functional analysis
Multilinear Algebra
Ordinary Differential Equations
Partial Differential Equations
Functional Analysis
Convex Analysis
Classical mechanics
Differential Geometry
Nonrelativistic Quantum mechanics
Linear Algebra
Partial Differential Equations
Operator Algebra
Linear Algebra
Group Theory
Ordinary Differential Equations
Quantum electrodynamics
Functional analysis
Operator Algebra
Special Relativity
Partial Differential Equations
Group Theory
Density-Matrix Renormalizaton Group Theory
Multiconfiguration Theory
Green's Function theory
Group Theory
Many-Body Theory
Partial Differential Equations
Functional Analysis
Born-Oppenheimer Approximation
Functional analysis
Classical electromagnetism
Hartree-Fock theory
Density-functional theory
Configuration-Interaction Method
Coupled-Cluster Theory
Many-body Perturbation Theory