Quantum Mechanics for Scientists and Engineers 2 from edX

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

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.

Methods for one-dimensional problems

How to understand and calculate tunneling current. The transfer matrix technique, a very simple and effective technique for calculating quantum mechanical waves and states.

Spin and identical particles

The purely quantum mechanical idea of spin, and how to represent and visualize it. The general ideas of identical particles in quantum mechanics, including fermions and bosons, their properties and the states of multiple identical particles.

Quantum mechanics of light

Representing light quantum mechanically, including the concept of photons, and introducing the ideas of annihilation and creation operators.

Interaction of different kinds of particles

Describing interactions and processes using annihilation and creation operators for fermions and bosons, including the important examples of stimulated and spontaneous emission that correctly explain all light emitters, from lasers to light bulbs.

Mixed states and the density matrix

Introducing the idea of mixed states to describe how quantum mechanical systems interact with the rest of the complex world around us, and the notation and use of the density matrix to describe and manipulate these.

Quantum measurement and quantum information

Introducing the no-cloning theorem, quantum cryptography, quantum entanglement and the basic ideas of quantum computing and teleportation, and returning to the idea of measurement in quantum mechanics, including the surprising results of Bell’s inequalities.

Interpretation of quantum mechanics

A brief introduction to some of the different approaches to the difficult problem of understanding what quantum mechanics really means!

Good to know

Know what's good

, what to watch for

, 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

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

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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

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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

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This book provides a comprehensive overview of quantum mechanics and will enhance your understanding of the core concepts covered in the course.

View Introduction to Electrodynamics on Amazon

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Read and summarize key chapters from the book.
Solve practice problems included in the book.

Practice spin operators and matrix representations

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Solving practice problems will solidify your understanding of spin operators and their matrix representations.

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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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Form a study group and discuss spin and identical particles

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Discussing these topics with peers will enhance your understanding and provide different perspectives.

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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

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Reviewing additional resources will enhance your knowledge of interacting particles and the associated quantum mechanics.

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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

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Volunteering will expose you to real-world applications of quantum mechanics and provide opportunities to interact with experts in the field.

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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

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Creating a visual representation of the quantum mechanics of light will deepen your understanding of its concepts.

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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

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Designing a quantum computing algorithm will provide hands-on experience with quantum mechanics concepts and their practical applications.

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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.

See salaries and explore the career path for Quantum Computing Researcher

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.

See salaries and explore the career path for Laser Physicist

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.

See salaries and explore the career path for Quantum Information Scientist

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.

See salaries and explore the career path for Semiconductor Physicist

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.

See salaries and explore the career path for Optical Engineer

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.

See salaries and explore the career path for Theoretical Physicist

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.

See salaries and explore the career path for Quantum Cryptographer

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.

See salaries and explore the career path for Nanotechnology Researcher

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.

See salaries and explore the career path for Nuclear Physicist

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.

See salaries and explore the career path for Particle Physicist

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.

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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.

See salaries and explore the career path for Experimental Physicist

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.

See salaries and explore the career path for Quantum Chemist

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.

See salaries and explore the career path for Science Writer

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.

See salaries and explore the career path for Science Educator