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e-papers
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e-papers: |
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| Educational Talk on Permanent
Magnets |
| Talk on History of Mobile NMR |
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2h Lecture on Dioxin:
"Dioxin: Seveso, Vietnam and everyday exposure"
(last update 2000) |
2h Lecture on Computer Viruses:
"I-LOVE-YOU: Viruses, Trojan Horses and Worms"
(last update 2000) |
Course
on Image Transforms in the Frequency Domain (last
update 2001)
Mathematical Background:
Fourier Series and Transforms, Theorems of the Fourier
Transform (Similarity, Addition, Shift, Parceval's
Theorem), Discrete Fourier Transform, Nyquist's
Theorem and Aliasing, Properties and Calculation of the Discrete
Fourier Transform, Fast Fourier Transform Algorithm (FFT),
Symmetry. Convolution/Correlation: Definition, Convolution
Theorem, Examples, Discrete Convolution, Correlation,
Definition, Correlation and Autocorrelation Theorem,
Applications, Filtering:
Filters, Reciprocal Domains, Spatial Frequencies and k-Space,
2D, 3D and nD Fourier
Transforms: Definitions, Some
Special Features of 2D-FTs, Standard Theorems, Rotation in Two
Dimensions. Image Processing in the Frequency Domain:
Filtering, Removal of Moiré Patterns and Other Interference.
Deconvolution: Blurring and Deblurring, Noise, Applications,
Other Transforms:
other Important Transforms, Hadamard
Transform, Applications
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Course on Quantum Mechanics
(last update 2001)
The Foundations and
Postulates of Quantum Mechanics:
Philosophy and concept of axiomatic physics, operators,
eigenfunctions and eigenvalues, linear combinations, orthonormality
and Hermiticity. The wavefunction, physical systems, Schrödinger’s
equation, probability and expectation value, commutators,
uncertainty principle (principle of indeterminacy) Confined
Particles: Solution of the 1D-problem ‘particle in a box’,
separation of variables, 2D-problem: ‘particle in a square
well’, quantum corrals, 3D-problem ‘particle in a real box’,
degeneracy. The Harmonic Oscillator:
Classical
description, 1D harmonic oscillator in QM, solution of Hermite’s
differential equation, correspondence principle, solution of the
harmonic oscillator in 2D and 3D. Rotational Motion:
Classical rotation, co-ordinate transforms, the rigid rotator,
particle rotating on a sphere, spherical harmonics, angular
momentum. The Hydrogenic Atom: Motion in a Coulomb
field, solution of the radial differential equation, complete
solution and atomic orbitals, linear combinations to hybrid orbitals,
orbital shape and degeneracy, the periodic table, electron spin,
selection rules and atomic spectroscopy.
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Course on Thermal and
Statistical Physics (last update
2001)
Classical Statistical
Physics: Boltzmann Distribution, Semi-Classical
Perfect Gas, Distinguishable / indistinguishable particles,
Contributions of different types of motion to Z1,density
of states, Partition function for different motion, Entropy and
Energy of the Semi-Classical Gas, Sackur-Tetrode
equation, entropy of mixing‑the Gibbs paradox,
equipartition of energy, The classical limit, Maxwell
velocity distribution in a classical gas, Rotational specific heat
of diatomic molecules‑ ortho/para 1H2,
Quantum Statistics:
Einstein's and Debye's theory of
an ideal crystal., Bose-Einstein statistics,
Fermi-Dirac statistics, Systems with variable particle
numberGrand partition function, Applications to Fermion/Boson-Systems:
Free electrons in metals, Pauli-paramagnetism, The perfect
photon gas ‑ black-body radiation, Bose-Einstein
condensation, Superconductivity and superfluidity, BEC,
Thermodynamics of stars
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Environment
Peter Blümler
