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Analytical solutions to problems involving DFT
Fundamentals of DFT
Variational Principles
PW Expansion
HF and KS equations
Exchange and Correlations
Pseudopotential
ManyBody Hamiltonian
Total energy and electron density
BZ Integration
Self Consistent Functionals
Multipole Coupling
Density matrices
Optics n-level systems lasers
Molecule radiation interaction
Molecule light interaction
Mathematical tools in Physics
QC treatment of 2level systems
TDQM
Perturbation theory
Preliminary algebra
Preliminary calculus
Complex numbers and hyperbolic functions
Series and limits
Partial differential
Multiple integrals
Vector algebra
Matrices and vectors spaces
Normal modes
Vector calculus
Integrals
Fourier series
Integral Transforms
ODE
Eigenfunction methods for DE
Special Functions
Quantum Operators
PDE
Calculus of variations
Integral equations
Complex Variables
Tensors
Numerical methods
Group theory
Representation theory
Probability
Statistics