Publications – Bachelor and Master theses
MASTER THESIS: Landauer's principle – Its classical conception and extension to Quantum Mechanics
As a foundation we discuss some profound questions, such as: what is entropy?, and how to understand probabilities in physics? We then look at how Information Theory can motivate results in Thermodynamics—when considering the principle of maximum entropy inference. The purpose is to support a good understanding of Landauer’s principle—in its inceptive motivation in classical physics, and why it is still a controversial idea that authors continue to disagree about. To remedy the ambiguity, we pursue a universal argument in favour of the principle. The work to extend Landauer’s principle to Quantum Mechanics is then commenced, and we examine a situation where the principle delivers a seemingly anomalous prediction—before identifying what went wrong. Lastly, we pull at loose threads that will require further work to tie together and treat ourselves with speculations about the measurement problem.
BACHELOR THESIS: Quantum interference and interaction free measurement in a diatomic molecule
This thesis utilizes the split operator method, and a quantum mechanical numerical model, to study a phenomenon where a supposedly unstable molecule becomes more stable—or meta-stable—through matter wave interference. The model of the molecule and the split operator method are both discussed in detail, and then used in numerical calculations to arrive at results in two separate investigations.
The first is a successful replication of an earlier paper where the meta-stable behaviour is optimized for and found. The second investigation models an interaction-free measurement of the electronic state of the molecule by incorporating a quantized electromagnetic field. Entanglement between field and molecule is calculated to confirm the assumption that increasing entanglement means a larger risk for dissociating the meta-stable molecule. The assumption is shown to be consistent with the results from the numerical model.