Mustafa's home page
PhD candidate at the University of Lethbridge
I am interested in understanding the interplay between quantum and classical mechanics. How does one transition to the other, what is at the core of their differences, and how can we consistently combine them? My current research is focused on two aspects, the first is characterizing the nonclassicality of quantum states, without relying on the negativity of their Wigner function. The second is casting classical mechanics in a “quantum-like” language, and interpreting concepts like probability amplitude, superposition and uncertainty relations in a classical theory. Settling these questions could allow for a conceptually and mathematically consistent use of a common framework for both classical and quantum mechanics. I am interested in seeing whether this can then help study the interaction between a quantum system and a classical measuring device, or between quantum matter and a classical spacetime. My MSc was focused on constructing algebraically consistent hybrid quantum-classical Hamiltonian dynamics (uLeth highlight). I also have an old, lurking interest in early universe cosmology, that might pop up now and then.
Publications
Form-preserving transformations of wave and Wigner functions (2025), Mustafa Amin, Mason Daub and Mark A. Walton, arxiv:2510.21949
Deconjugation of canonical variables and the Koopman-von Neumann theory (2022), Mustafa Amin and Mark A. Walton, arXiv:2210.00603
An illustration of canonical quantum-classical dynamics (2021), Mustafa Amin and Mark A. Walton, arXiv:2107.01341 - J. Comput. Electron 20, 2141–2147 (2021)
Quantum-Classical Dynamical Brackets (2021), Mustafa Amin and Mark A. Walton, arXiv:2009.09573 - Phys. Rev. A 104, 032216 (2021)
A viable logarithmic f(R) model for inflation (2016), Mustafa Amin, Shaaban Khalil and Maha Salah, arXiv:1512.09324 - JCAP 08 (2016) 043
MSc. Thesis - Potential canonical framework for quantum-classical dynamics - 2021, URI: hdl.handle.net/10133/5884
Conferences and workshops
Canadian Association of Physicists (CAP) Congress 2025 - June 2025 - talk (slides)
Theory Canada 17 - June 2025 - talk (slides)
Alberta Mathematics Dialogue 2025 - May 2025 - talk (slides)
Math to Power Industry (m2pi) 2024 - July 2024 - team project
Canadian Association of Physicists (CAP) Congress 2024 - May 2024 - poster
Theory Canada 16 - May 2024 - talk (slides)
Math to Power Industry (m2pi) 2023 - July 2023 - team project
Qunatum Information Theory in Quantum Field Theory and Cosmology - June 2023 - poster
Alberta Quantum Summit - October 2022 - poster
Canadian Association of Physicists (CAP) Virtual Congress - June 2021 - hybrid (recorded + live) talk
International Wigner Workshop - May 2021 - talk (slides) - Book of Abstracts, p. 56 (PDF)
Koopman Methods in Classical and Classical-Quantum Mechanics - April 2021 - poster - Book of Abstracts, p. 55 (PDF)
Research profiles
Contact
- m.amin [at] uleth.ca
- mustafa.amin [at] proton.me