We review research and teaching experiences with undergraduates using quantum trajectory theory instead of density matrices for open systems. This approach builds on preliminary work in the curriculum on quantum mechanics using wave functions.
Based on years of teaching experience, this book provides a clearly structured and accessible introduction to the fundamental principles of quantum mechanics, tailored for undergraduate students. The text builds a strong conceptual and mathematical foundation while promoting intuitive understanding and critical thinking. Students progress from basic concepts such as wave mechanics to more advanced topics within matrix mechanics. Complex concepts are presented in a diligent and understandable way, achieving a balance between conceptual insight and mathematical rigor without oversimplifying the subject. Thoroughly class-tested, this book is designed to support both classroom instruction and independent study. It will serve as a great tool for undergraduates studying introductory and intermediate quantum mechanics, as well as modern physics and quantum systems for engineers.
This helpful and pedagogical book offers problems and solutions in quantum mechanics from areas of current research, rarely addressed in introductory courses or textbooks. It is based on the authors' own experience of teaching undergraduate and graduate courses in quantum mechanics, and adapts problems from contemporary research publications to be accessible to students. Each section introduces key quantum mechanical concepts, which are followed by exercises that grow progressively more challenging throughout the chapter. The step-by-step solutions provide detailed mathematical derivations, and explore their application to wider research topics. This is an indispensable resource for undergraduate and graduate students alike, expanding the range of topics usually covered in the classroom, as well as for instructors and early-career researchers in quantum mechanics, quantum computation and communication, and quantum information.
Quantum information is a new subject produced by the cross integration of quantum physics and information technology, mainly including quantum communication, quantum computing and quantum metrology. In recent years, quantum information technologies such as quantum cryptography and quantum computing have developed rapidly. Under this background, some universities have set up a professional elective course of quantum information for undergraduates majoring in cyberspace security. This course mainly introduces students to quantum information related to cyberspace security, such as quantum key distribution, quantum cryptographic algorithm, quantum computing algorithm and quantum computer. This paper combs and summarizes the teaching experience of quantum information course group from the perspectives of teaching and learning. On the one hand, it discusses how teachers organize teaching effectively. According to the characteristics of undergraduates majoring in cyberspace security, teacher need to set clear teaching objectives, carefully choose teaching contents, compile appropriate teaching materials, select appropriate teaching methods and make exquisite teaching slides. At the same time, when implementing classroom teaching, teacher need to pay attention to teach the course from the perspective of cyberspace security and integrate the latest research results of quantum information into classroom teaching in real time. On the other hand, it discusses how teachers help students learn quantum information course well. Teachers should focus on visualizing the abstract theory, helping students build their own quantum information knowledge system and improve their learning enthusiasm. The teaching experience has certain reference significance for the teaching and curriculum construction of quantum information.
This thesis presents a comprehensive review of research into students’ depictions of quantum mechanics. A taxonomy to describe and compare quantum mechanics education research is presented, and this taxonomy is used to highlight the foci of prior research. A brief history of quantum mechanics education research is also presented. Research implications of the review are discussed, and several areas for future research are proposed. In particular, this thesis highlights the need for investigations into what interpretations of quantum mechanics are employed in teaching, and that classical physics – in particular the classical particle model – appears to be a common theme in students’ inappropriate depictions of quantum mechanics. Two future research projects are presented in detail: one concerning interpretations of quantum mechanics, the other concerning students’ depictions of the quantum mechanical wave function.This thesis also discusses teaching implications of the review. This is done both through a discussion on how Paper 1 can be used as a resource for lecturers and through a number of teaching suggestions based on a merging of the contents of the review and personal teaching experience.