Education

Education (Courses)
Lectures/Exercises/Practica

Course Short content Intended audience Preconditions Type¹ Term

TC IV, master module F4: MN-C-F-TC configuration interaction, coupled cluster, perturbation theory, DFT students of chemistry bachelor of chemistry or TC I, TC II LE,G SS08

Object Orientation with C++ programming paradigms, tools, concepts of OO, UML, design supportive material graduate and Ph.D. students L,G SS08

TC III, master module F4: MN-C-F-TC quantum mechanics revisited, linear spaces, approximative methods, second quantization supportive material students of chemistry bachelor of chemistry or TC I, TC II LE,G WS07

Theoretical Chemistry Selected problems of computational chemistry supportive material students of chemistry none L,G SS06, WS07, SS08

An object oriented integral and SCF program Gaussian distributions, recursion relations, Obara-Saika scheme, code generation, index symmetry object design, abstract iterators graduate and Ph.D. students basic C++ and quantum chemistry L,G WS05

Computational chemistry² Theoretical part³: theoretical physics history, what is a partial differential equation?, (very) basic quantum mechanics, function space, linear basis set expansion, linear regression $\to$ fitting problem $\to$ projective solution of the Schrödinger equation, many-body wave functions, mean field approach (SCF), correlation students of chemistry none L,G WS05

Object oriented second quantization/parallel programming and communication second quantization, simple objects: sum, product, SumOfProducts, kronecker, term, more complex objects: normal order, n-particle operators, cluster operator, exponentials, similarity transformation, streams, pipes, sockets, socket++-library, (non-)blocking IO, schedulers, clients/servers graduate and Ph.D. students basic C++ and quantum chemistry L,G SS05

Advanced Coupled Cluster Theory normal order, particle-hole-formalism, Hamilton operator in particle-hole notation, (anti-)commutation rules, Wick's theorems, contractions, Hamilton operator in normal order, similarity transformations, BCH-expansion, operator ranks, derivation of the coupled cluster working equations, "connectedness", eigenvalue and residual form of CI-equations, coupled cluster fix point iteration, DIIS, scaling behavior, factorization, matrix formulation, diagrams and algebraic alternatives graduate and Ph.D. students basic C++ and quantum chemistry L,E WS04

Object Orientation in a Scientific Environment motivation for object orientation (OO), what is OO?, overview programming languages and paradigms, level of abstraction, "forbidden" FORTRAN statements, the compilation cycle, why C++?, file types (source, header, objects, (dynamic) libraries, executables), GNU make, symbol tables, UNIX process memory layout, variables and types, type safeness, declarations and definitions, basic language elements, von Neumann architecture, memory and pointers, dynamic memory allocation, templates, classes (constructor, destructor, copying, assignment), encapsulation, access protection, example objects (Point, Rational), standard template library (STL) graduate and Ph.D. students programming basics L,E SS04

CI- and Coupled Cluster Theory many-body problem, Slater determinant, function space, many-body basis, exact wavefunction properties, Ehrenfest theorem, common eigenfunctions and degeneracy, size extensivity and size consistency, (pair) densities, static and dynamic correlation, variation principle, excurs: linear algebra: (matrices, eigenvalues, scalar product, representations), states and excitations and substitutions, choice of orbitals, CI theory, spin functions, configuration state functions, second quantization, commutators, first vs. second quantization, coupled cluster, linked and unlinked form, projections, truncation, Wick's theorem
graduate and Ph.D. students basic quantum chemistry L,E WS03

Computational Chemistry chemical object, properties, force field methods, partial differential equations, Schrödinger equation, molecular Hamilton operator, orbitals, Pauli principle and anti-symmetry, Dirac notation, variation principle, "the function construction toolbox" (the linear basis), Hartree-Fock, one- and many-body operators and wavefunctions, one-particle basis sets, hydrogen atom and periodic system, beyond the product ansatz, substitutions, configuration interaction, RHF and the dissociation problem, UHF, static and dynamic correlation, perturbation theory and convergence, MCSCF ansätze, CASPT2, MRCI, size-consistency, coupled cluster ansatz, DFT students of chemistry none L,G WS02

Group Theory and Quantum Chemistry symmetry operations, operators, mathematical groups, point groups, matrix representations, character, orthogonality theorems, (ir-)reducible representations, symmetry of quantum mechanical operators, molecular vibrations, normal modes, symmetry adapted molecular orbitals, Tanabe-Sugano diagrams, spatial groups undergraduate students none L,G WS01

Quantum Chemistry I quantum mechanics, wavefunctions, operators, Schrödinger equation, hydrogen atom, angular momentum, particle in a box, harmonic oscillator, rigid rotator, variation principle, Hückel, helium atom, spin functions, MO and VB theory, Slater determinant, Hartree-Fock undergraduate students none L,G SS01,SS02

Quantum Chemistry II Born-Oppenheimer, Hartree-Fock, configuration interaction, (non-)degenerate perturbation theory, van der Waals interaction, photon emission and absorption, Franck-Condon principle, fine structure, spin-orbit effects, nuclear spin, NMR undergraduate students Quantum Chemistry I E,G WS00

Quantum Chemistry I see "Quantum Chemistry I" lecture undergraduate students corresponding lecture E,G SS00

Theoretical Chemistry potential surface, force field, basis sets, Hartree-Fock, CASSCF, DFT, semi-empirical method, Woodward/Hoffmann rules, correlation methods undergraduate students Quantum Chemistry I, II P,G WS99

Group Theory and Quantum Chemistry see "Group Theory and Quantum Chemistry" lecture undergraduate students corresponding lecture E,G WS96

Footnotes

... Type ¹: Lecture / Exercise, language: English / German
... chemistry ²: colecturers: D. Blunk, A. Mudring, L. Packschies
... part ³: everything is explained on a informative and illustrative basis, not too much mathematics

Michael Hanrath 2008-08-13

Course	Short content	Intended audience	Preconditions	Type¹	Term
TC IV, master module F4: MN-C-F-TC	configuration interaction, coupled cluster, perturbation theory, DFT	students of chemistry	bachelor of chemistry or TC I, TC II	LE,G	SS08
Object Orientation with C++	programming paradigms, tools, concepts of OO, UML, design supportive material	graduate and Ph.D. students		L,G	SS08
TC III, master module F4: MN-C-F-TC	quantum mechanics revisited, linear spaces, approximative methods, second quantization supportive material	students of chemistry	bachelor of chemistry or TC I, TC II	LE,G	WS07
Theoretical Chemistry	Selected problems of computational chemistry supportive material	students of chemistry	none	L,G	SS06, WS07, SS08
An object oriented integral and SCF program	Gaussian distributions, recursion relations, Obara-Saika scheme, code generation, index symmetry object design, abstract iterators	graduate and Ph.D. students	basic C++ and quantum chemistry	L,G	WS05
Computational chemistry²	Theoretical part³: theoretical physics history, what is a partial differential equation?, (very) basic quantum mechanics, function space, linear basis set expansion, linear regression $\to$ fitting problem $\to$ projective solution of the Schrödinger equation, many-body wave functions, mean field approach (SCF), correlation	students of chemistry	none	L,G	WS05
Object oriented second quantization/parallel programming and communication	second quantization, simple objects: sum, product, SumOfProducts, kronecker, term, more complex objects: normal order, n-particle operators, cluster operator, exponentials, similarity transformation, streams, pipes, sockets, socket++-library, (non-)blocking IO, schedulers, clients/servers	graduate and Ph.D. students	basic C++ and quantum chemistry	L,G	SS05
Advanced Coupled Cluster Theory	normal order, particle-hole-formalism, Hamilton operator in particle-hole notation, (anti-)commutation rules, Wick's theorems, contractions, Hamilton operator in normal order, similarity transformations, BCH-expansion, operator ranks, derivation of the coupled cluster working equations, "connectedness", eigenvalue and residual form of CI-equations, coupled cluster fix point iteration, DIIS, scaling behavior, factorization, matrix formulation, diagrams and algebraic alternatives	graduate and Ph.D. students	basic C++ and quantum chemistry	L,E	WS04
Object Orientation in a Scientific Environment	motivation for object orientation (OO), what is OO?, overview programming languages and paradigms, level of abstraction, "forbidden" FORTRAN statements, the compilation cycle, why C++?, file types (source, header, objects, (dynamic) libraries, executables), GNU make, symbol tables, UNIX process memory layout, variables and types, type safeness, declarations and definitions, basic language elements, von Neumann architecture, memory and pointers, dynamic memory allocation, templates, classes (constructor, destructor, copying, assignment), encapsulation, access protection, example objects (Point, Rational), standard template library (STL)	graduate and Ph.D. students	programming basics	L,E	SS04
CI- and Coupled Cluster Theory	many-body problem, Slater determinant, function space, many-body basis, exact wavefunction properties, Ehrenfest theorem, common eigenfunctions and degeneracy, size extensivity and size consistency, (pair) densities, static and dynamic correlation, variation principle, excurs: linear algebra: (matrices, eigenvalues, scalar product, representations), states and excitations and substitutions, choice of orbitals, CI theory, spin functions, configuration state functions, second quantization, commutators, first vs. second quantization, coupled cluster, linked and unlinked form, projections, truncation, Wick's theorem	graduate and Ph.D. students	basic quantum chemistry	L,E	WS03
Computational Chemistry	chemical object, properties, force field methods, partial differential equations, Schrödinger equation, molecular Hamilton operator, orbitals, Pauli principle and anti-symmetry, Dirac notation, variation principle, "the function construction toolbox" (the linear basis), Hartree-Fock, one- and many-body operators and wavefunctions, one-particle basis sets, hydrogen atom and periodic system, beyond the product ansatz, substitutions, configuration interaction, RHF and the dissociation problem, UHF, static and dynamic correlation, perturbation theory and convergence, MCSCF ansätze, CASPT2, MRCI, size-consistency, coupled cluster ansatz, DFT	students of chemistry	none	L,G	WS02
Group Theory and Quantum Chemistry	symmetry operations, operators, mathematical groups, point groups, matrix representations, character, orthogonality theorems, (ir-)reducible representations, symmetry of quantum mechanical operators, molecular vibrations, normal modes, symmetry adapted molecular orbitals, Tanabe-Sugano diagrams, spatial groups	undergraduate students	none	L,G	WS01
Quantum Chemistry I	quantum mechanics, wavefunctions, operators, Schrödinger equation, hydrogen atom, angular momentum, particle in a box, harmonic oscillator, rigid rotator, variation principle, Hückel, helium atom, spin functions, MO and VB theory, Slater determinant, Hartree-Fock	undergraduate students	none	L,G	SS01,SS02
Quantum Chemistry II	Born-Oppenheimer, Hartree-Fock, configuration interaction, (non-)degenerate perturbation theory, van der Waals interaction, photon emission and absorption, Franck-Condon principle, fine structure, spin-orbit effects, nuclear spin, NMR	undergraduate students	Quantum Chemistry I	E,G	WS00
Quantum Chemistry I	see "Quantum Chemistry I" lecture	undergraduate students	corresponding lecture	E,G	SS00
Theoretical Chemistry	potential surface, force field, basis sets, Hartree-Fock, CASSCF, DFT, semi-empirical method, Woodward/Hoffmann rules, correlation methods	undergraduate students	Quantum Chemistry I, II	P,G	WS99
Group Theory and Quantum Chemistry	see "Group Theory and Quantum Chemistry" lecture	undergraduate students	corresponding lecture	E,G	WS96