Quantum Mechanics for Scientists and Engineers 1 from edX

This 9 week course aims to teach quantum mechanics to anyone with a reasonable college-level understanding of physical science or engineering. Quantum mechanics was once mostly of interest to physicists, chemists and other basic scientists. Now the concepts and techniques of quantum mechanics are essential in many areas of engineering and science such as materials science, nanotechnology, electronic devices, and photonics.

This course is a substantial introduction to quantum mechanics and how to use it. It is specifically designed to be accessible not only to physicists but also to students and technical professionals over a wide range of science and engineering backgrounds.

What you'll learn

A conceptual understanding of quantum mechanics
Key physics concepts
Key ideas in using quantum mechanical waves
Mathematics of quantum mechanical waves
Quantum mechanics of systems that change in time
Measurements in quantum mechanics
The uncertainty principle
The hydrogen atom
How to solve real problems

What's inside

Learning objectives

A conceptual understanding of quantum mechanics
Key physics concepts
Key ideas in using quantum mechanical waves
Mathematics of quantum mechanical waves
Quantum mechanics of systems that change in time

Measurements in quantum mechanics
The uncertainty principle
The hydrogen atom
How to solve real problems

A conceptual understanding of quantum mechanics
Key physics concepts
Key ideas in using quantum mechanical waves
Mathematics of quantum mechanical waves
Quantum mechanics of systems that change in time
Measurements in quantum mechanics
The uncertainty principle
The hydrogen atom
How to solve real problems

Syllabus

Introduction to quantum mechanics

How quantum mechanics is important in the everyday world, the bizarre aspects and continuing evolution of quantum mechanics, and how we need it for engineering much of modern technology.

Schroedinger’s wave equation

Getting to Schroedinger’s wave equation. Key ideas in using quantum mechanical waves — probability densities, linearity. The "two slit" experiment and its paradoxes.

Getting "quantum" behavior

The "particle in a box", eigenvalues and eigenfunctions. Mathematics of quantum mechanical waves.

Quantum mechanics of systems that change in time

Time variation by superposition of wave functions. The harmonic oscillator. Movement in quantum mechanics — wave packets, group velocity and particle current.

Measurement in quantum mechanics

Operators in quantum mechanics — the quantum-mechanical Hamiltonian. Measurement and its paradoxes — the Stern-Gerlach experiment.

Writing down quantum mechanics simply

A simple general way of looking at the mathematics of quantum mechanics — functions, operators, matrices and Dirac notation. Operators and measurable quantities. The uncertainty principle.

The hydrogen atom

Angular momentum in quantum mechanics — atomic orbitals. Quantum mechanics with more than one particle. Solving for the the hydrogen atom. Nature of the states of atoms.

How to solve real problems

Approximation methods in quantum mechanics.

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Explores the mathematics and concepts of quantum mechanics, which is fundamental to the design of many modern technologies such as nanotechnology and electronics

Taught by David Miller, who has extensive research and teaching experience in quantum mechanics

Suitable for students with a background in physical science or engineering and those seeking a comprehensive understanding of quantum mechanics

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 1 with these activities:

Review Introduction to Probability

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The math in this course requires a firm understanding of probability concepts. This activity will allow you to test and solidify your grasp of these ideas so you are well prepared for the challenges ahead.

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Revisit basic probability principles: sample space, events, outcomes, probabilities.
Review conditional probability and Bayes' theorem.
Practice solving probability problems involving counting techniques.

Review atomic and molecular physics

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Review atomic and molecular physics to strengthen understanding of quantum mechanics concepts.

Browse courses on Atomic Physics

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Summarize the key concepts of atomic physics, including atomic structure, energy levels, and spectroscopy.
Review the principles of molecular physics, such as molecular bonding, molecular orbitals, and molecular spectroscopy.

Review basic scientific notation

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Review scientific notation to prepare for the mathematical calculations in this course.

Browse courses on Scientific Notation

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Go over the definition of scientific notation.
Practice converting between expanded form and scientific notation.

Eight other activities

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Join a Quantum Mechanics Study Group

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Quantum mechanics can be challenging. By meeting with other students, you will learn from each other's unique perspectives, and gain experience working on problems you may not be able to solve alone.

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Find other students in your course or online who are interested in forming a study group.
Decide on a regular meeting time and place.
Determine a format for your meetings: rotating problem-solving, group discussions, review sessions.

Explore interactive simulations of quantum mechanics phenomena

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Engage with interactive simulations to visualize and gain a deeper understanding of quantum mechanics principles.

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Find reputable websites or software that provide interactive quantum mechanics simulations.
Choose simulations that illustrate the concepts covered in the course, such as wave-particle duality or quantum entanglement.
Run the simulations and observe the results, taking notes on your observations and insights.

Solve sample quantum mechanics problems

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Reinforce your understanding of quantum mechanics concepts through practice problem-solving.

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Gather practice problems from textbooks, online resources, or the course materials.
Work through the problems step-by-step, applying the concepts and techniques learned in the course.
Check your solutions against provided answer keys or consult with the instructor or a tutor for guidance.

Create a Quantum Mechanics Glossary

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Creating a glossary of quantum mechanics terms will force you to actively engage with the concepts in a meaningful way, enhancing your comprehension and retention.

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Identify the key terms in each lecture and reading assignment.
Write clear and concise definitions for each term.
Include examples and illustrations to reinforce understanding.
Review and revise your glossary regularly as you progress through the course.

Develop a presentation on a specific quantum mechanics topic

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Enhance your understanding and communication skills by creating a presentation that delves into a chosen quantum mechanics topic.

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Select a specific quantum mechanics topic that interests you or aligns with the course curriculum.
Research and gather information from reliable sources, including textbooks, journal articles, and reputable websites.
Organize and structure your presentation content, including an introduction, main body, and conclusion.
Create visual aids, such as slides or diagrams, to support and illustrate your presentation.
Practice delivering your presentation, ensuring clarity and engagement.

Compile a literature review on recent advancements in quantum computing

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Stay abreast of the latest developments in quantum computing by compiling a comprehensive literature review.

Browse courses on Quantum Computing

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Search academic databases and reputable scientific journals for relevant research papers and articles.
Read and analyze the selected papers, extracting key findings and insights.
Organize and synthesize the information into a coherent literature review, highlighting the major advancements and trends in quantum computing.
Conclude the review with your own insights and perspectives on the future of quantum computing.

Contribute to open-source quantum mechanics projects

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Gain hands-on experience and deepen your understanding by contributing to open-source projects related to quantum mechanics.

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Identify open-source quantum mechanics projects that align with your interests and skill level.
Join the project community and engage with other contributors.
Review the project's documentation and codebase, familiarizing yourself with the project's goals and technical details.
Identify an area where you can contribute, such as bug fixes, feature implementations, or documentation improvements.
Make your contributions to the project, following the project's contribution guidelines.

Read "Quantum Mechanics for Mathematicians" by James Glimm and Arthur Jaffe

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Enhance your mathematical understanding of quantum mechanics through an in-depth exploration of this advanced textbook.

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Obtain a copy of the book.
Read and work through the chapters, taking notes and seeking clarification when needed.
Solve the exercises at the end of each chapter to test your understanding.
Discuss the concepts and ideas presented in the book with peers or the instructor to deepen your comprehension.

Career center

Learners who complete Quantum Mechanics for Scientists and Engineers 1 will develop knowledge and skills that may be useful to these careers:

Quantum Physicist

Quantum Physicists study the behavior of matter and energy at the microscopic scale, which is key to engineering many aspects of modern technology. This course provides a comprehensive introduction to quantum mechanics, giving you the knowledge and insight to make significant contributions as a Quantum Physicist.

See salaries and explore the career path for Quantum Physicist

Research Scientist

Research Scientists conduct in-depth studies and investigations, specializing in a particular area of science. Quantum mechanics is becoming increasingly important in diverse research areas where this course provides you with the foundational knowledge you need to start or advance your Research Scientist career.

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Photonics Engineer

Photonics Engineers design, develop, and implement systems that use light to transmit information. A deep understanding of quantum mechanics is fundamental in this field, and this course builds a solid foundation in the key concepts and methodologies you'll need.

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Materials Scientist

This course builds a foundation in quantum mechanics and how to use it, which is essential in Materials Science today. Materials Scientists study the properties of various substances and how they can be used for different applications.

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Nanotechnologist

Nanotechnology involves manipulating matter at the atomic and molecular scale. This course covers quantum mechanics in detail, providing you with the strong conceptual understanding and technical proficiency you need to solve real-world problems in Nanotechnology.

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Quantum Computing Engineer

Quantum Computing Engineers specialize in the design, development, and maintenance of quantum computing systems. This course provides an excellent introduction to the fundamentals of quantum mechanics, preparing you for advanced concepts in quantum computing.

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Technical Writer

This course offers a comprehensive overview of quantum mechanics, enabling you to build a strong foundation in the subject. This can be particularly valuable for Technical Writers who need to understand and convey complex scientific concepts to diverse audiences.

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Science Writer

Understanding quantum mechanics is crucial for Science Writers who aim to communicate complex scientific concepts to a broader audience. This course provides a solid foundation in the fundamentals of quantum mechanics, equipping you to explain and interpret scientific advancements effectively.

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Electronic Engineer

This course offers a comprehensive introduction to quantum mechanics, including its principles, applications, and problem-solving techniques. This foundational knowledge is essential for Electronic Engineers involved in the design, development, and testing of electronic devices and systems.

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Optical Engineer

This course provides a comprehensive introduction to quantum mechanics and its applications in optics. By understanding the key principles of quantum mechanics, Optical Engineers gain valuable insights into the behavior of light and its interaction with matter, enabling them to design and develop innovative optical technologies.

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Nuclear Engineer

This course offers a detailed introduction to quantum mechanics, including its principles, applications, and problem-solving techniques. This foundational knowledge is essential for Nuclear Engineers involved in the design, operation, and maintenance of nuclear power plants and other nuclear facilities.

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Aerospace Engineer

This course offers a solid foundation in quantum mechanics, which is essential for Aerospace Engineers working on advanced technologies, propulsion systems, and spacecraft design.

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Chemical Engineer

This course offers a detailed introduction to quantum mechanics, including its principles, applications, and problem-solving techniques. This foundational knowledge can be valuable for Chemical Engineers involved in the design, optimization, and control of chemical processes.

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Mechanical Engineer

This course may be useful for Mechanical Engineers interested in advanced materials, nanotechnology, or quantum computing.

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Civil Engineer

This course covers the fundamentals of quantum mechanics, including its applications in materials science and nanotechnology, which are relevant to the development of advanced construction materials and technologies in Civil Engineering.

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