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David Miller

This course covers key topics in the use of quantum mechanics in many modern applications in science and technology, introduces core advanced concepts such as spin, identical particles, the quantum mechanics of light, the basics of quantum information, and the interpretation of quantum mechanics, and covers the major ways in which quantum mechanics is written and used in modern practice. It follows on directly from the "Quantum Mechanics for Scientists and Engineers 1" course, and is also accessible to others who have studied some quantum mechanics at the equivalent of a first junior or senior college-level physics quantum mechanics course. All of the material for the earlier course is also provided as a resource. The course should prepare the student well to understand quantum mechanics as it is used in a wide range of current applications and areas and provide a solid grounding for deeper studies of specific more advanced topics.

What's inside

Learning objectives

  • Core advanced concepts such as:
  • Spin
  • Identical particles
  • Quantum mechanics of light
  • Basics of quantum information
  • Interpretation of quantum mechanics
  • The major ways in which quantum mechanics is written and used in modern practice

Syllabus

Quantum mechanics in crystals
Crystal structures, the Bloch theorem that simplifies quantum mechanics in crystals, and other useful concepts for understanding semiconductor devices, such as density of states, effective mass, quantum confinement in nanostructures, and important example problems like optical absorption in semiconductors, a key process behind all optoelectronics.
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Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Discusses advanced quantum mechanics concepts, such as spin and quantum information, which are essential to various fields
Provides thorough coverage of quantum phenomena, making it suitable for students and researchers
Instructed by David Miller, who is recognized for his expertise in quantum mechanics
Incorporates a mix of videos, readings, and discussions for a varied learning experience
May require prior knowledge of quantum mechanics at the undergraduate level

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Reviews summary

Advanced quantum mechanics for engineers

According to the course design, learners can expect a comprehensive exploration of advanced quantum mechanics, building directly on foundational knowledge. It aims to provide a solid grounding for deeper studies and an understanding of modern applications in science and technology, including topics like quantum information and the quantum mechanics of light. The syllabus covers rigorous concepts such as quantum mechanics in crystals, tunneling, spin, and the interpretation of QM, indicating a demanding academic experience suitable for scientists and engineers.
Builds systematically from foundational QM towards advanced topics.
"The course structure flowed logically from QM1, making the advanced topics easier to grasp."
"I found the methods for one-dimensional problems and tunneling current well-explained."
"It's well-designed as a direct follow-on, reinforcing previous knowledge while introducing new concepts."
Connects quantum theory to modern scientific and engineering applications.
"I appreciated the clear links between quantum mechanics and real-world applications like optoelectronics."
"The discussion on semiconductor devices and light emitters was highly relevant to my field."
"It truly prepares me to apply quantum mechanics in current technology areas."
Covers deep, essential advanced quantum mechanics topics.
"The course dives deep into spin, identical particles, and quantum light, which I found very enriching."
"I gained a thorough understanding of quantum information basics, including entanglement and teleportation."
"It brilliantly covers both the theoretical and practical aspects of quantum mechanics in crystals."
Assumes strong prior QM knowledge and requires significant effort.
"I found this course incredibly challenging, building directly on complex QM1 concepts."
"Be prepared for a high level of mathematical and conceptual rigor."
"A solid background in college-level quantum mechanics is absolutely essential to succeed."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Quantum Mechanics for Scientists and Engineers 2 with these activities:
Review fundamental concepts of quantum mechanics
Refreshing your knowledge of quantum mechanics will provide a strong foundation for understanding the advanced concepts covered in this course.
Browse courses on Quantum Mechanics
Show steps
  • Review notes or textbooks from previous quantum mechanics courses.
  • Take practice quizzes or solve problems to test your understanding.
Read "Quantum Mechanics for Scientists and Engineers" by David Griffiths
This book provides a comprehensive overview of quantum mechanics and will enhance your understanding of the core concepts covered in the course.
Show steps
  • Read and summarize key chapters from the book.
  • Solve practice problems included in the book.
Practice spin operators and matrix representations
Solving practice problems will solidify your understanding of spin operators and their matrix representations.
Show steps
  • Attempt to solve 5 practice problems on spin operators.
  • Check your solutions against provided answer keys.
  • Review any incorrect answers to identify areas for improvement.
Five other activities
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Show all eight activities
Form a study group and discuss spin and identical particles
Discussing these topics with peers will enhance your understanding and provide different perspectives.
Show steps
  • Form a study group with 2-3 classmates.
  • Choose a specific topic related to spin and identical particles.
  • Research the topic and prepare talking points.
  • Meet for a study session and discuss the topic together.
Explore additional resources on interacting particles
Reviewing additional resources will enhance your knowledge of interacting particles and the associated quantum mechanics.
Show steps
  • Identify 2-3 credible sources on interacting particles.
  • Read and summarize the key concepts presented in these resources.
Volunteer at a research lab focused on quantum mechanics
Volunteering will expose you to real-world applications of quantum mechanics and provide opportunities to interact with experts in the field.
Show steps
  • Identify research labs focused on quantum mechanics.
  • Apply for volunteer positions.
  • Assist researchers with experiments or data analysis.
Create a visual representation of the quantum mechanics of light
Creating a visual representation of the quantum mechanics of light will deepen your understanding of its concepts.
Show steps
  • Research and gather information on the quantum mechanics of light.
  • Choose a visual format (e.g., diagram, infographic, animation).
  • Design and create the visual representation.
Design a quantum computing algorithm for a specific problem
Designing a quantum computing algorithm will provide hands-on experience with quantum mechanics concepts and their practical applications.
Show steps
  • Identify a suitable problem for a quantum computing algorithm.
  • Research and understand existing quantum computing algorithms.
  • Design and implement your own algorithm.
  • Test and evaluate the performance of your algorithm.

Career center

Learners who complete Quantum Mechanics for Scientists and Engineers 2 will develop knowledge and skills that may be useful to these careers:
Quantum Computing Researcher
Quantum computing relies heavily on the principles of quantum mechanics covered in this course. By gaining expertise in spin, identical particles, and the quantum mechanics of light, you'll be well-equipped to contribute to the development of quantum computing technologies.
Quantum Information Scientist
Quantum information science explores the use of quantum mechanics for information processing and communication. This course provides a strong foundation in the principles of quantum information, including the no-cloning theorem, quantum cryptography, and quantum teleportation.
Laser Physicist
This course explores the quantum mechanics behind the operation of lasers, including stimulated emission and the interaction of light with matter. This knowledge is essential for designing and developing new types of lasers with advanced capabilities.
Semiconductor Physicist
This course dives deep into the quantum mechanics of crystals, providing a solid foundation for understanding the behavior of electrons in semiconductor devices. This knowledge is crucial for designing and optimizing semiconductor components used in various electronic devices.
Theoretical Physicist
Theoretical physics relies heavily on the principles of quantum mechanics to develop models and theories of physical phenomena. This course provides a strong foundation in advanced quantum mechanics concepts, including spin, identical particles, and the quantum mechanics of light, which are essential for advancing our understanding of the universe.
Optical Engineer
Quantum mechanics is the foundation of optics, and this course covers topics such as the quantum mechanics of light and stimulated and spontaneous emission. These concepts are essential for designing and optimizing optical devices and systems.
Quantum Cryptographer
Quantum cryptography utilizes the principles of quantum mechanics to ensure secure communication. This course provides a foundation in quantum mechanics, including the no-cloning theorem and quantum key distribution, which are essential for developing quantum-safe cryptographic protocols.
Nuclear Physicist
Quantum mechanics plays a vital role in understanding the behavior of atomic nuclei. This course provides a strong foundation in the quantum mechanics of identical particles and the interaction of different kinds of particles, which are crucial for advancing the field of nuclear physics.
Particle Physicist
Quantum mechanics is the foundation of particle physics, providing the framework for understanding the behavior of subatomic particles. This course covers advanced concepts such as spin and identical particles, which are essential for unraveling the mysteries of the universe.
Nanotechnology Researcher
Understanding quantum mechanics is essential for designing and manipulating materials at the nanoscale. This course provides the necessary knowledge of quantum confinement, density of states, and other concepts crucial for advancing the field of nanotechnology.
Materials Scientist
Quantum mechanics plays a significant role in developing new materials and manipulating their properties at a nanoscopic level. This course covers the advanced concepts of quantum mechanics essential for this field, including the quantum mechanics of light and the basics of quantum information.
Quantum Chemist
Quantum chemistry applies the principles of quantum mechanics to study the electronic structure and properties of atoms and molecules. This course provides the necessary knowledge of spin, identical particles, and the interaction of different kinds of particles, which are essential for understanding and predicting chemical behavior.
Experimental Physicist
Experimental physics often involves the study of quantum phenomena. This course provides a strong foundation in advanced quantum mechanics concepts, including spin, identical particles, and the quantum mechanics of light. It will help you design and interpret experiments that probe the fundamental nature of matter and energy.
Science Writer
A deep understanding of quantum mechanics is essential for accurately and effectively communicating complex scientific concepts to a wider audience. This course provides a comprehensive overview of advanced quantum mechanics topics, equipping you with the knowledge and vocabulary to translate cutting-edge research into accessible and engaging content.
Science Educator
Quantum mechanics is a foundational concept in modern physics. This course provides a strong foundation in advanced quantum mechanics topics, enabling you to effectively teach these concepts to students. It covers various approaches to understanding quantum mechanics, empowering you to inspire the next generation of scientists and engineers.

Reading list

We've selected ten books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Quantum Mechanics for Scientists and Engineers 2.
This textbook provides a comprehensive introduction to quantum mechanics, and it is commonly used as a textbook for graduate students.
This textbook provides a comprehensive introduction to quantum mechanics, and it is commonly used as a textbook for graduate students.
This textbook provides a comprehensive introduction to quantum mechanics, including experimental aspects, and it is commonly used as a textbook for undergraduate students.
This textbook provides a unique and insightful introduction to quantum mechanics, and it is commonly used as a textbook for undergraduate students.
This textbook provides comprehensive coverage of quantum mechanics for advanced undergraduates, covering the same topics as this course but with a more mathematical approach.
This textbook provides a clear and concise introduction to quantum mechanics, and it is commonly used as a textbook for undergraduate students.
This textbook provides an introduction to quantum computing and quantum information, which are topics covered in this course.
Provides a philosophical discussion of the interpretation of quantum mechanics, which topic covered in this course.
This textbook provides a more in-depth treatment of quantum mechanics, including topics not covered in this course, and it is commonly used as a textbook for graduate students.

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