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Quantum Mechanics

John W. Daily

Course 2 of Statistical Thermodynamics presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and simple solutions obtained that illustrate atomic and molecular structural behavior. More realistic behavior is also explored along with modern quantum chemistry numerical solution methods for solving the wave equation.

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Syllabus

Introduction to quantum mechanics
Module 1presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and it is showen that the time dependence can be separated and a stationary wave equation results.
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Read about what's good
what should give you pause
and possible dealbreakers
Introduces students to the fundamentals of quantum mechanics, suitable for engineering backgrounds
Employs a postulatory approach, providing a structured and logical framework for understanding quantum mechanics
Covers essential concepts such as the Schrödinger wave equation, particle in a box, rigid rotator, harmonic oscillator, and hydrogenic atom
Provides insights into more realistic atomic and molecular behavior, addressing complexities beyond simple systems
Incorporates numerical methods for solving the wave equation, enhancing the practicality and applicability of the concepts learned

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Reviews summary

Introduction to quantum mechanics for engineers

According to feedback inferred from the course materials, this course provides a foundational introduction to quantum mechanics geared towards learners with mechanical or aerospace engineering backgrounds. It guides students through a postulatory approach to derive the Schrodinger wave equation and solve for simple systems like the particle in a box. The course also touches on applying these concepts to more realistic atomic and molecular behavior and introduces numerical solution methods. The content structure aims to build understanding from fundamental principles.
Connects theory to real systems and modern methods.
"Exploring how the simple solutions relate to real atomic and molecular behavior was interesting."
"The introduction to numerical methods for solving the wave equation felt relevant to modern approaches."
"The modules on realistic behavior and numerical methods provided a glimpse into more advanced topics."
Tailored for mechanical/aerospace engineering learners.
"The course materials seem specifically chosen for someone with an engineering background."
"It felt like the level of explanation was appropriate for engineers dipping into QM."
"I think my engineering background helped me follow the explanations provided."
Derives the central equation of quantum mechanics.
"Following the derivation of the Schrodinger wave equation was a key part of the course."
"The process shown for deriving the time-independent Schrodinger equation was understandable."
"It was helpful to see how the Schrodinger equation is derived from the postulates presented."
Presents QM basics logically step-by-step.
"The course uses a postulatory approach that lays out the steps clearly, making the introduction feel very structured."
"I appreciated how the course builds from fundamental principles using the postulatory method."
"The initial modules clearly define the postulates before diving into the mathematics."
Explores fundamental examples in quantum mechanics.
"Solving the Schrodinger equation for the particle in a box and harmonic oscillator solidified my understanding."
"I found the sections on simple systems like the rigid rotator and hydrogen atom very informative."
"Working through the examples of simple systems is crucial for grasping the basics."

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 with these activities:
Review calculus
This course will require calculus. Spend some time reviewing these concepts prior to the first class.
Browse courses on Calculus
Show steps
  • Review differentiation
  • Practice integration
  • Review multivariable calculus
Review linear algebra
Linear algebra is a prerequisite for this course. Don't assume that you remember it. Spend some time refreshing your memory before this class kicks off.
Browse courses on Linear Algebra
Show steps
  • Review matrix operations
  • Practice solving systems of linear equations
  • Review vector spaces
Read 'Quantum Mechanics for Mathematicians'
This book provides a mathematically rigorous introduction to quantum mechanics. Reading it will give you a strong foundation for this course.
Show steps
  • Read the first three chapters
  • Solve the practice problems
Five other activities
Expand to see all activities and additional details
Show all eight activities
Follow the MIT OpenCourseWare quantum mechanics video lectures
These video lectures provide a clear and concise introduction to quantum mechanics. Watching them will help you understand the concepts covered in this course.
Show steps
  • Watch the first three lectures
  • Take notes on the key concepts
Solve quantum mechanics practice problems
Solving practice problems is a great way to test your understanding of quantum mechanics. This will help you identify areas where you need more practice.
Show steps
  • Find practice problems online or in textbooks
  • Solve the problems
  • Check your answers
Create a concept map of quantum mechanics
Creating a concept map will help you visualize the relationships between the different concepts in quantum mechanics. This will help you understand the subject more deeply.
Show steps
  • Identify the key concepts in quantum mechanics
  • Draw a diagram that shows the relationships between the concepts
Discuss quantum mechanics with other students
Discussing quantum mechanics with other students will help you learn from different perspectives. This will help you develop a deeper understanding of the subject.
Show steps
  • Find a study group or online forum where you can discuss quantum mechanics
  • Participate in discussions and ask questions
Volunteer at a local science museum
Volunteering at a science museum will give you the opportunity to interact with people who are interested in quantum mechanics. This will help you share your knowledge and learn from others.
Show steps
  • Find a local science museum that has a quantum mechanics exhibit
  • Contact the museum and ask about volunteering opportunities

Career center

Learners who complete Quantum Mechanics will develop knowledge and skills that may be useful to these careers:
Physicist
Physicists research the fundamental laws of nature and the properties of matter and energy. Quantum Mechanics is one of the fundamental theories of physics and is used to explain a wide range of phenomena, from the behavior of atoms and molecules to the structure of the universe. Taking this course may help build a foundation for understanding the fundamental principles of quantum mechanics.
See salaries and explore the career path for Physicist
Quantum Computing Scientist
Quantum Computing Scientists research and develop quantum computers, which are computers that use the principles of quantum mechanics to solve complex problems. Quantum Mechanics is the fundamental theory that governs the behavior of matter at the atomic and molecular level. Taking this course may help build a foundation for understanding the fundamental principles of quantum mechanics and how they can be applied to develop quantum computers.
See salaries and explore the career path for Quantum Computing Scientist
Quantum Chemist
Quantum Chemists use the principles of quantum mechanics to study the structure and properties of atoms and molecules. Quantum Mechanics is the fundamental theory that governs the behavior of matter at the atomic and molecular level. Taking this course may help build a foundation for understanding the fundamental principles of quantum mechanics and how they can be applied to study the structure and properties of atoms and molecules.
See salaries and explore the career path for Quantum Chemist
Research Scientist
Research Scientists conduct research in a variety of scientific fields, including physics, chemistry, biology, and engineering. Quantum Mechanics is one of the fundamental theories of physics and is used to explain a wide range of phenomena, from the behavior of atoms and molecules to the structure of the universe. Taking this course may help build a foundation for understanding the fundamental principles of quantum mechanics and how they can be applied to research in a variety of scientific fields.
See salaries and explore the career path for Research Scientist
Nuclear Engineer
Nuclear Engineers research, design, develop, test, and oversee the production of nuclear power plants and other nuclear facilities. Quantum Mechanics may be used to model and simulate nuclear reactions, design new materials, or develop new processes. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Nuclear Engineer
Computational Scientist
Computational Scientists use advanced computational techniques to solve complex problems in science and engineering. Quantum Mechanics may be used to develop new algorithms, simulate physical systems, or model complex phenomena. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Computational Scientist
Materials Scientist
Materials Scientists research and develop new materials, such as metals, ceramics, polymers, and composites. Quantum Mechanics may be used to model and simulate the properties of materials, design new materials, or develop new processes. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Materials Scientist
Aerospace Engineer
Aerospace Engineers research, design, develop, test, and oversee the production of aircraft, spacecraft, satellites, and missiles. Quantum Mechanics might be used to develop new materials, implement new technologies, or improve propulsion systems in the aerospace industry. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Aerospace Engineer
Mechanical Engineer
Mechanical Engineers research, design, develop, test, and oversee the production of mechanical systems, such as engines, turbines, and robots. Quantum Mechanics may be used to develop new materials, implement new technologies, or improve system performance in the mechanical engineering industry. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Mechanical Engineer
Chemical Engineer
Chemical Engineers apply the principles of chemistry, physics, and mathematics to solve problems that involve the production or use of chemicals, fuel, drugs, food, and many other products. Quantum Mechanics may be used to model and simulate chemical reactions, design new materials, or develop new processes. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Chemical Engineer
Electrical Engineer
Electrical Engineers research, design, develop, test, and oversee the production of electrical equipment, such as computers, telecommunications equipment, and power generation systems. Quantum Mechanics may be used to develop new materials, implement new technologies, or improve device performance in the electrical engineering industry. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Electrical Engineer
Operations Research Analyst
Operations Research Analysts use advanced analytical techniques to solve complex problems in business and industry. Quantum Mechanics may be used to develop new algorithms, simulate complex systems, or model complex phenomena. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Operations Research Analyst
Software Engineer
Software Engineers design, develop, test, and maintain software systems. Quantum Mechanics may be used to develop new algorithms, simulate complex systems, or model complex phenomena. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Software Engineer
Systems Analyst
Systems Analysts design, develop, and implement computer systems. Quantum Mechanics may be used to develop new algorithms, simulate complex systems, or model complex phenomena. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these advancements.
See salaries and explore the career path for Systems Analyst
Technical Writer
Technical Writers create and edit technical documentation, such as user manuals, white papers, and training materials. Quantum Mechanics may be used to explain complex technical concepts in a clear and concise way. Taking this course may help build a foundation for understanding the quantum mechanical principles that underpin these concepts.
See salaries and explore the career path for Technical Writer

Reading list

We've selected nine 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.
Cover image
Introduction to Topological Quantum Matter &...
Save
Comprehensive and rigorous introduction to quantum mechanics. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics.
Introduction to Topological Quantum Matter &...
Hardcover
$$$$
Introduction to Topological Quantum Matter &...
Paperback
$$
Introduction to Topological Quantum Matter &...
Kindle Edition
$$$
Introduction to Topological Quantum Matter &...
Kindle Edition
$$
Cover image
Foundations of Molecular Quantum Electrodynamics
Save
These lectures provide a clear and engaging introduction to quantum mechanics. They are a valuable resource for students who want to learn more about the fundamental principles of quantum mechanics.
Foundations of Molecular Quantum Electrodynamics
Hardcover
$$$
Foundations of Molecular Quantum Electrodynamics
Kindle Edition
$$$
Cover image
Quantum Mechanics
Save
Provides a modern and comprehensive introduction to quantum mechanics. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics and its applications to modern physics.
Quantum Mechanics: An Introduction to the Physical...
Kindle Edition
$$$
Cover image
Quantum Mechanics: A Modern Development (2nd...
Save
Comprehensive and rigorous introduction to quantum mechanics. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics.
QUANTUM MECHANICS: A MODERN DEVELOPMENT (2ND...
Hardcover
$$$$
Quantum Mechanics: A Modern Development (2nd...
Kindle Edition
$$
Cover image
The Heroic Age
Save
Provides a clear and concise introduction to quantum theory. It valuable resource for students who want to learn more about the fundamental principles of quantum theory.
The Heroic Age: The Creation of Quantum Mechanics,...
Hardcover
$$$$
The Heroic Age: The Creation of Quantum Mechanics,...
Kindle Edition
$$$
Cover image
The Physical Basis of Biochemistry
Save
Provides a clear and concise introduction to quantum mechanics, with a focus on the applications of quantum mechanics to physics problems. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics and its applications in physics.
The Physical Basis of Biochemistry: The Foundations...
Hardcover
$$$
The Physical Basis of Biochemistry: Solutions...
Paperback
$$$
The Physical Basis of Biochemistry: The Foundations...
Kindle Edition
$$$
The Physical Basis of Biochemistry: The Foundations...
Kindle Edition
$$$
Cover image
Fundamentals of Statistical and Thermal Physics
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Provides a clear and concise introduction to quantum mechanics, with a focus on the applications of quantum mechanics to engineering problems. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics and its applications in engineering.
Fundamentals of Statistical and Thermal Physics
Kindle Edition
$$$
Cover image
The Zen of Exotic Computing
Save
Provides a comprehensive introduction to quantum computation and quantum information. It valuable resource for students who want to learn more about the fundamental principles of quantum computing and quantum information.
The Zen of Exotic Computing
Paperback
Check
The Zen of Exotic Computing
Kindle Edition
Check
Cover image
Consciousness Mattering
Save
Provides a unique and insightful perspective on quantum mechanics. It valuable resource for students who want to learn more about the philosophical implications of quantum mechanics.
Consciousness Mattering: A Buddhist Synthesis
Hardcover
$$$
Consciousness Mattering: A Buddhist Synthesis
Kindle Edition
$$$

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Effort
5 hours to complete
Level
Advanced
Via
Coursera
Institution
University of Colorado Boulder
Instructor
John W. Daily
Language
English
Transcripts
Español Français Português Deutsch Italiano 中文 العربية 한국어 日本語 हिंदी Nederlands Svenska Pусский Türkçe Polski Ελληνικά українська мова magyar nyelv Bahasa Indonesia ไทย қазақша اُردُو, فارسی বাংলা tiếng Việt پښتو آذربایجان دیلی
This course belongs to a collection called Statistical Thermodynamics. It's comprised of five courses:
  1. Quantum Mechanics (viewing)
  2. Ideal Gases
  3. Fundamentals of Macroscopic and Microscopic Thermodynamics
  4. Dense Gases, Liquids and Solids
  5. Non-Equilibrium Applications of Statistical Thermodynamics
Traffic lights
Read about what's good
what should give you pause
and possible dealbreakers
Introduces students to the fundamentals of quantum mechanics, suitable for engineering backgrounds
Employs a postulatory approach, providing a structured and logical framework for understanding quantum mechanics
Covers essential concepts such as the Schrödinger wave equation, particle in a box, rigid rotator, harmonic oscillator, and hydrogenic atom
Provides insights into more realistic atomic and molecular behavior, addressing complexities beyond simple systems
Incorporates numerical methods for solving the wave equation, enhancing the practicality and applicability of the concepts learned
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