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After a quick historical account of the introduction of the group-theoretical description of Quantum Mechanics in terms of symmetries, as proposed by Weyl, we examine some unpublished papers by Ettore Majorana. Remarkable results achieved…

History and Philosophy of Physics · Physics 2009-11-10 A. Drago , S. Esposito

This is an extended and corrected version of lecture notes originally written for a one semester course at Leibniz University Hannover. The main aim of the notes is to give an introduction to the mathematical methods used in describing…

Mathematical Physics · Physics 2017-04-20 Pieter Naaijkens

The Brazilian National Assessment of Secondary Education (ENEM, Exame Nacional do Ensino M\'edio) has changed in 2009: from a self-assessment of competences at the end of high school to an assessment that allows access to college and…

Physics Education · Physics 2013-11-18 Wanderley P. Gonçalves , Marta F. Barroso

The discovery of quantum mechanics at the beginning of the last century led to a revolution of the physical world view. Modern experiments, made possible by new techniques on the border of the classical and the quantum regimes offer new…

Physics Education · Physics 2015-06-26 Gesche Pospiech

A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this…

Physics Education · Physics 2011-09-08 Charles Baily

The place and role of an Observer in quantum mechanics has been a subject of an ongoing debate since the theory's inception. Wigner brought this question to the fore in a celebrated scenario in which a super-Observer observes a Friend…

Quantum Physics · Physics 2020-09-14 A. Matzkin , D. Sokolovski

These are the lecture notes of the master's course "Quantum Computing", taught at Chalmers University of Technology every fall since 2020, with participation of students from RWTH Aachen and Delft University of Technology. The aim of this…

In this note is touched upon an application of quantum information science (QIS) in nanotechnology area. The laws of quantum mechanics may be very important for nano-scale objects. A problem with simulating of quantum systems is well known…

Quantum Physics · Physics 2010-05-11 Alexander Yu. Vlasov

Interleaved practice enhances the memory and problem-solving ability of students in undergraduate courses. We introduce a personalized learning tool built on a Large Language Model (LLM) that can provide immediate and personalized attention…

Physics Education · Physics 2024-07-02 Yufan Zhu , Zi-Yu Khoo , Jonathan Sze Choong Low , Stephane Bressan

On the seminal paper written by Einstein, Podolsky and Rosen [1], a critique to the completeness of quantum mechanics was posed. Part of the critique consisted in the following argument: if quantum mechanics is complete, then, two physical…

Quantum Physics · Physics 2021-05-07 Angel Garcia-Chung

These are my published answers to the seventeen questions posed by Max Schlosshauer in his 2011 book "Elegance and Enigma: the Quantum Interviews". I have inserted thirty footnotes into those answers, commenting on them from the perspective…

Quantum Physics · Physics 2013-01-29 N. David Mermin

This is a write-up of a short tutorial talk on high-intensity QED, video-presented at the 2021 annual Christmas meeting of the Central Laser Facility at Rutherford-Appleton Lab, UK. The first half consists of a largely historical…

High Energy Physics - Phenomenology · Physics 2022-03-03 T. Heinzl

This colloquium summarizes Dirac's contributions to the discovery of quantum mechanics before he invented his relativistic wave equation.

Quantum Physics · Physics 2007-05-23 Kurt Gottfried

This is an intrusion in the life and the mathematics of Norbert A'Campo, intended to be a tribute to him and an acknowledgement of his impact on those who know him and his work. The final version of this paper appears in the book ``Essays…

History and Overview · Mathematics 2023-10-27 Athanase Papadopoulos

Formulating a quantum theory of gravity lies at the heart of fundamental theoretical physics. This collection of lecture notes encompasses a selection of topics that were covered in six mini-courses at the Nordita PhD school "Towards…

High Energy Physics - Theory · Physics 2025-10-10 Ivano Basile , Luca Buoninfante , Francesco Di Filippo , Benjamin Knorr , Alessia Platania , Anna Tokareva

This dialogue took place at V\"axj\"o, 19 November 2001. The main aim of our meeting in V\"axj\"o was to clarify our viewpoints on foundations of quantum mechanics. The most attractive in our discussion was the extreme difference in our…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov , Johann Summhammer

I present my encounter with John Bell at CERN, our collaboration and joint work in particle physics. I also will recall our quantum debates and give my personal view on Bell's fundamental work on quantum theory, in particular, on…

History and Philosophy of Physics · Physics 2014-11-20 Reinhold A. Bertlmann

The lecture notes contain three parts. The first part is Grover's Search Algorithm with modifications, generalizations, and applications. The second part is a discussion on the quantum fingerprinting technique. The third part is Quantum…

Quantum Physics · Physics 2023-01-02 Kamil Khadiev

The Feynman path integral plays a crucial role in quantum mechanics, offering significant insights into the interaction between classical action and propagators, and linking quantum electrodynamics (QED) with Feynman diagrams. However, the…

General Physics · Physics 2026-05-19 W. Wen

The high public attention given to quantum computing shows that it is perceived as an interesting topic. We want to utilize this motivating effect for the teaching and learning of quantum physics. Specifically, we want to take advantage of…

Physics Education · Physics 2021-08-16 Rainer Müller , Franziska Greinert
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