I would like to advise caution when reading these notes. This project began with a focused study of the postulates of quantum mechanics and reflections on its interpretation. However, I eventually incorporated study notes from courses I took as a student, as well as material from previous reviews. Some of these notes also closely follow the original text, with the addition of examples, elaborations on intermediate mathematical steps, and/or my own comments.
Naturally, I always strive for accuracy; however, I cannot guarantee that I haven’t made a mistake in a mathematical derivation—even if I happened to arrive at the correct result. If you spot any such errors, I would be happy to be corrected. You can contact me via email at sbjhordan@gmail.com.
Despite these initial caveats, I hope you find these notes useful.
Recommended reading:
The
-Quantum -Foundations -Project:The initial text that launched the project, in which I present an analogy with classical mechanics and the postulates of quantum mechanics, while critically examining their interpretation[1]. Free Particle: The solution to the time-independent Schrödinger equation for a free particle is not the simplest case, but it is particularly interesting due to the obvious comparison with the classical case, which helps us reflect on the nature of the wave function[2].
The Double-Slit Experiment: This is a classic example from popular culture that is constantly misunderstood. A more precise discussion helps us better understand the true nature of the wave function and the strangeness inherent in quantum mechanics.
Fake Stern-Gerlach Experiment: The Stern-Gerlach experiment is often the first example encountered in quantum mechanics courses. Despite having less popular appeal, it helps us understand—more precisely, due to its mathematical simplicity—the phenomena observed in the double-slit experiment.
Sections:
Expanded Albert: Study of the chapters of the book “Quantum Mechanics Experience” (David Z. Albert).
Other: Miscellaneous texts.
Undergrad Thesis: My undergraduate thesis (in Portuguese) on quantum computing and machine learning.
Expanded Sakurai: Study (in Portuguese) of some chapters of the book “Modern Quantum Mechanics” (Jun John Sakurai).
Math : Studies related to the mathematics required to study quantum mechanics.