*Patrick Merlot, Research Fellow in quantum computational chemistry at UiO/CTCC*

Office:Â UiO,Â Faculty of Mathematics and Natural Sciences,Â Department of chemistry,Â CTCC

Address: Universitetet i Oslo, Department of Chemistry, Postbox 1033, Blindern, 0315 Oslo, Norway

E-post: patrick.merlot (@) kjemi.uio.no

This thesis investigates numerically systems consisting of several interacting electrons in two-dimensions, confined to small regions between layers of semiconductors. These artificially fabricated electron systems are called "quantum dots" in the literature. Quantum dots provide a new challenge to theoretical calculations of their properties using many-body methods. The size of these "artificial atoms" is several orders of magnitude larger than that of atoms, leading to a much greater sensitivity to magnetic fields. The full many-body problem of quantum dots is truly complex and simulating a quantum dot constrained by a magnetic field may be even more complicated.Â

Of particular interest is the reliability of the Hartree-Fock (HF) method for studies of quantum dots in 2D as a function of the external magnetic field. An Hartree-Fock code for electrons trapped in a single harmonic oscillator potential in two-dimensions has been developed, as well as a code implementing many-body perturbation theory (MBPT) up to third order either directly applied to the harmonic oscillator basis or as a correction to the Hartree-Fock energy. A discussion of the results compared with large-scale diagonalisation methods indicated a quadractic error growth of HF and MBPT as the interaction strength increases. The reliability of a single Slater determinant approximation for the ground state of closed shell systems as a function of varying interaction strength has been investigated and we found that the Hartree-Fock method, compared with large-scale diagonalization methods, has a limited range of applicability as function of the interaction strength and increasing number of eletrons in the dot, indicating a break of the computational technique before entering the limit of validity of the closed-shell model.Â

Entry of nanoparticles into cells, Center for Cancer Biomedicine - University of OsloÂ

Quantum dot-neuron active interfacing, J. Winter - Ohio State UniversityÂ

Nano2Life, European Network of Excellence in nanobiotechnologyÂ

French-Norwegian Interdisciplinary Symposium on Nano and Micro Frontiers in Biology and Medicine (31/08/2009-02/09/2009)Â

Room Temperature Single Atom Quantum Dot in Depth (intuitive video on the page)Â

Cost of quantum dots: "...quantum dots can cost anywhere from US$3,000 to $10,000 per gram..." (soon for less than $10 per gram)Â

- PHYS205 - ElectromagnetismÂ (Laszlo Csernai)

- PHYS206 - Statistical Physics and ThermodynamicsÂ (Jan S. Vaagen)

- PHYS261 - Atomic physics and physical optics
- PHYS261 - minutes of lecturesÂ (Ladislav Kocbach)

- FYS4410 - Computational Physics IIÂ (Morten Hjorth-Jensen)

- INF5620 - Numerical methods for partial differential equations
- INF5620: Details for Spring 08Â (Xing Cai)

- MENA5010 - Nanophysics
- MENA5010 - Details for Spring 08Â (Yuri Galperin)

- FYS4110 - Non-relativistic quantum mechanicsÂ (Jon Magne Leinaas)

- FYS3710 - Biophysics and medical physicsÂ (Einar Sagstuen, Thormod Henriksen, Dag Rune Olsen, Atle BjÃ¸rnerud, Erik O. Pettersen)

- A CMA Lecture series on many-body methodsÂ (Gustav Jansen, Gustav BÃ¥rdsen)