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A quaternionic approach to teaching 3D rotations and the resolution of gimbal lock

Fernando Ricardo Gonzalez Diaz, Vicent Martinez Badenes, Teodoro Rivera Montalvo, Ricardo Garcia-Salcedo · 2025

Quaternions provide a unified algebraic and geometric framework for representing three-dimensional rotations without the singularities that afflict Euler-angle parametrisations. This article develops …

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The spinorial ball: a macroscopic object of spin-1/2

Samuel Bernard-Bernardet, David Dumas, Benjamin Apffel · 2023

Historically, the observation of half-spin particles was one of the most surprising features of quantum mechanics. They are often described as "objects that do not come back to their initial state aft…

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Introducing SU(3) color charge in undergraduate quantum mechanics

Brandon L. Inscoe, Jarrett L. Lancaster · 2019

We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are considered. In particular, …

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Measurement of the Boltzmann constant by Einstein. Problem of the 5-th Experimental Physics Olympiad. Sofia 9 December 2017

Todor M. Mishonov, Emil G. Petkov, Aleksander A. Stefanov, Aleksander P. Petkov, Iglika M. Dimitrova, Stojan G. Manolev, Simona I. Ilieva, Albert M. Varonov · 2017

Several consecutive experiments with specifically built set-up are described. Performing of the consecutive experimental tasks enables possibility to determine Boltzmann's constant $k_\mathrm{_B}$. Th…

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Measurement of the electron charge $q_e$ using Schottky noise. Problem of the 6-th Experimental Physics Olympiad. Sofia 8 December 2018

Todor M. Mishonov, Emil G. Petkov, Aleksander A. Stefanov, Aleksander P. Petkov, Viktor I. Danchev, Zehra O. Abdrahim, Zlatan D. Dimitrov, Iglika M. Dimitrova, Riste Popeski-Dimovski, Marina Poposka, Sla{dj}ana Nikolic, Slavoljub Mitic, Ria Rosenauer, Felix Schwarzfischer, Vassil N. Gourev, Vasil G. Yordanov, Albert M. Varonov · 2017

Several consecutive experiments are described with a printed circuit board PCB set-up, especially designed for these experiments. Doing the consecutive experimental tasks opens up possibility to deter…

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Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles

F. M. Mejia, V. Pleitez · 2002

We consider the Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singl…

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