http://tobiassteinbrecher.com/post/ Recent content in Posts on Blog by Tobias Steinbrecher Hugo -- gohugo.io en Thu, 13 Feb 2025 09:39:16 +0100 http://tobiassteinbrecher.com/post/bundestag-speeches-sentiment/ Thu, 13 Feb 2025 09:39:16 +0100 http://tobiassteinbrecher.com/post/bundestag-speeches-sentiment/ Recently, I found out about Bundestag Open Data - basically all the bureaucracy of Bundestag is digitalized and for the more recent legislative periods actually very nicely formatted and well-documented. On the website they say this data is open for usage by interested users. With Bundestag elections approaching, why not analyze this masterpiece of governmental transparency. First of all, the results of this analysis probably have much noise in them. I suppose the methods of analysis used here are neither reliable in any way, nor applied professionally. http://tobiassteinbrecher.com/post/algebraic-solution-qho/ Tue, 31 Dec 2024 00:00:00 +0000 http://tobiassteinbrecher.com/post/algebraic-solution-qho/ The Quantum Harmonic Oscillator (QHO) was a key topic in a course on Quantum Physics I took. We solved it using the algebraic approach, which involves the factorization of the Hamiltonian using ladder operators. While this method is elegant, the derivation of the ladder operators in the lecture felt somewhat arbitrary to me, and I struggled to grasp the deeper motivation behind choosing this particular approach to solve the problem. However, the part on deriving the eigenvalues of the number operator was presented quite intuitively and self-contained. http://tobiassteinbrecher.com/post/lyapnuov/ Sun, 02 Jul 2023 00:00:00 +0000 http://tobiassteinbrecher.com/post/lyapnuov/ I stumbled across Dynamical systems in the context of chaos theory and stability. Examples of such systems include the Van der Pol oscillator and the Lorenz attractor. However, even simpler structures like the logistic map seem to offer quite interesting behavior. This article also briefly touches upon the concept of Lyapunov exponents, which measure the sensitivity to initial conditions and provide insights into system predictability. I have not taken any course and am just exploring these topics out of random interest, because I find the visualizations and just the nature of this stuff existing quite interesting - I have no university background in mathematics or physics up to this point.