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The aim of the lecture is to briefly describe the mathematical background of scattering theory for two- and three-particle quantum systems. We discuss basic objects of the theory: wave and scattering operators and the corresponding…

Mathematical Physics · Physics 2022-05-27 Dmitri Yafaev

In a recent report, the American Association of Physics Teachers has developed an updated set of recommendations for curriculum of undergraduate physics labs.1 This document focuses on six major themes: constructing knowledge, modeling,…

Physics Education · Physics 2015-09-02 N. G. Holmes , D. A. Bonn

There is some evidence that conceptual inquiry-based introductory physics lab curricula, such as RealTime Physics, may improve students' understanding of physics concepts. Thus, these curricula may be attractive for instructors who seek to…

Physics Education · Physics 2022-04-05 Danny Doucette , Russell Clark , Chandralekha Singh

These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract…

High Energy Physics - Theory · Physics 2008-12-04 Jan Govaerts

Quantum computing is a highly abstract scientific discipline, which, however, is expected to have great practical relevance in future information technology. This forces educators to seek new methods to teach quantum computing for students…

Software Engineering · Computer Science 2026-03-11 Juha Reinikainen , Vlad Stirbu , Teiko Heinosaari , Vesa Lappalainen , Tommi Mikkonen

Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that…

Quantum Physics · Physics 2009-09-25 Kiyoung Kim

There are many falsely intuitive introductions to quantum theory and quantum computation in a handwave. There are also numerous documents which teach those subjects in a mathematically sound manner. To my knowledge this paper is the…

Quantum Physics · Physics 2009-11-25 Pablo Arrighi

Quantum machine learning (QML) requires significant quantum resources to address practical real-world problems. When the underlying quantum information exhibits hierarchical structures in the data, limitations persist in training complexity…

Quantum Physics · Physics 2026-03-24 Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

Several new physics experiments in 1998 were performed and analyzed to show the subtlety of quantum theory, including the "wave-particle duality" and the non-separability of two-particle entangled state. Here it is shown that the…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni

These lecture notes were created for a graduate-level course on quantum simulation taught at Leibniz University Hannover in 2013. The first part of the course discusses various state of the art methods for the numerical description of…

Quantum Physics · Physics 2017-04-25 Hendrik Weimer

This text aims to present and explain quantum machine learning algorithms to a data scientist in an accessible and consistent way. The algorithms and equations presented are not written in rigorous mathematical fashion, instead, the…

Quantum Physics · Physics 2018-04-27 Dawid Kopczyk

We are at the dawn of the second quantum revolution, where our ability to create and control individual quantum systems is poised to drive transformative advancements in basic science, computation, and everyday life. However, quantum theory…

The task of providing effective instruction and facilitating comprehension of resources is a substantial difficulty in the field of Quantum Computing, mostly attributable to the complicated nature of the subject matter. Our research-based…

Physics Education · Physics 2023-09-22 Ishan Shivansh Bangroo , Samia Amir

A strategy is suggested for teaching mathematically literate students, with no background in physics, just enough quantum mechanics for them to understand and develop algorithms in quantum computation and quantum information theory.…

Quantum Physics · Physics 2009-11-07 N. David Mermin

In this work, I propose a way to help high school students and the general population understand quantum concepts by adopting a new inherently dual representation. Major difficulties in explaining to people the basic concepts of quantum…

Popular Physics · Physics 2025-01-16 Gianluca Li Causi

These are the lecture notes for a course that I am teaching at Zhiyuan College of Shanghai Jiao Tong University (available at https://www.youtube.com/derekkorg), though the first draft was created for a previous course I taught at the…

Quantum Physics · Physics 2022-03-25 Carlos Navarrete-Benlloch

Quantum mechanics can seem like a departure from everyday experience of the physical world, but constructivist theories assert that learners build new ideas from their existing ones. To explore how students can navigate this tension, we…

Physics Education · Physics 2015-07-03 Benjamin W. Dreyfus , Erin Ronayne Sohr , Ayush Gupta , Andrew Elby

We expose the Schr\"odinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of the Schr\"odinger, Pauli and Dirac equations, as well as…

Mathematical Physics · Physics 2007-05-23 A. Komech

Quantum computing has shown great potential to revolutionize traditional computing and can provide an exponential speedup for a wide range of possible applications, attracting various stakeholders. However, understanding fundamental quantum…

Human-Computer Interaction · Computer Science 2025-03-04 Manusha Karunathilaka , Shaolun Ruan , Lin-Ping Yuan , Jiannan Li , Zhiding Liang , Kavinda Athapaththu , Qiang Guan , Yong Wang

The wave-particle duality is a mind-body one. In the real 3D-space there exists only the particle, the wave exists in its consciousness. If there are many particles, their distribution in accordance with the wave function represents a real…

General Physics · Physics 2009-11-07 Raoul Nakhmanson
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