**René Petersen, B. Sc**

----------------------------------------------------------------------

Stud. Polyt Nano-physics, 10. Semester
at

Email: __aauprojects at repetit dot dk__

Website: www
dot repetit dot dk

----------------------------------------------------------------------

MATERIALE
TIL BASIS GRUPPE 311

The cocky exponential function e^x
is strolling along the road insulting the functions he sees walking by. He
scoffs at a wandering polynomial for the shortness of its Taylor series. He
snickers at a passing smooth function of compact support and its glaring lack
of a convergent power series about many of its points. He positively laughs as
he passes |x| for being nondifferentiable at the
origin. He smiles, thinking to himself, “Damn, it's great to be e^x. I'm real analytic everywhere. I'm my own derivative. I
blow up faster than anybody and shrink faster too. All the other functions
suck.”

Lost in his own egomania, he collides with the
constant function 3, who is running in terror in the opposite direction.

“Why don't you look where you're going?" demands e^x. He then sees the fear in 3's eyes and says "You
look terrified!" "I am!" says the panicky 3. "There's a
differential operator just around the corner. If he differentiates me, I'll be
reduced to nothing! I've got to get away!" With that, 3 continues
to dash off.

"Stupid constant," thinks e^x. "I've got nothing to fear from a differential
operator. He can keep differentiating me as long as he wants, and I'll still be
there."

So he scouts off to find the operator and gloat in his
smooth glory. He rounds the corner and defiantly introduces himself to the
operator. "Hi. I'm e^x."

"Hi. I'm d / dy."

**Study Related Material**

**Projects**

P5 -
Immobilization of Cutinase on Nanoparticles

P6 -
Glancing Angle Deposition

P7 –
Scattering of Surface Plasmon Polaritons by Gold Nanoparticles

P8 – Erbium in an SiO2 Crystal

P9 –
Electronic and Optical Properties of Graphene Antidot Lattices

P10
– Study of excitons in gapped graphene and of the influence of hole geometry on the band gap of graphene antidot lattices
(master thesis)

MP1
- Theoretical Investigation of Resonant Tunneling and its Applications

**Programming**

MATLAB –
Photonic Bandgap Calculation

MATLAB –
Surface Plasmon Polariton Scattering (scalar model)

MATLAB –
Surface Plasmon Polariton Scattering (vector model)

Fortran –
Hartree-Fock method for Calculation of Atomic Ground State Energy and
Spin-Orbitals

Mathematica – Analytical Treatment of Surface Plasmon
Single Particle Scattering

Mathematica – Calculation of Matrix Elements for
Hartree-Fock

Mathematica – Code for determining the action of step
up/down operators on Slater determinants

**Guitar**

Here are a few short guitar
songs played by me, they are not complete, just short extracts from the songs.

Creed – One
Last Breath (intro)

**Other Stuff**

Last updated
02/09-2009