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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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What's inside
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.
Read more
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.
Read more
Simple Solutions of the Wave Equation
In module 2 we solve the stationary wave equation for several simple systems. These include the particle in a box, the rigid rotator, the harmonic oscillator, and the hydrogenic atom. These simple solutions form the basisi for discussing real atomic and molecular behavior in the next module.
Real Atomic and Molecular Behavior
In Module 3 we explore the more realistic behavior of atoms and molecules. We also introduce and discuss numerical methods for solving the wave equation.
Good to know
Good to know
Know what's good ,
what to watch for , 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
Quantum mechanics for beginners
Learners say this introductory course in quantum mechanics provides engaging assignments and great explanations, but it could use more practice.
The course is well-paced and allows for thorough understanding.
"The course is itself a beautiful subject"
"It has allowed me to understand more about Quantum Mechanics in a very short period of time."
"This course was brief and precise."
"Thank you very much to Professor John Daily and the University of Colorado Boulder for providing such an amazing course."
The course is challenging, but the instructor provides good support.
"A little hard course."
"this introductory course in quantum mechanics"
"This course on Quantum Mechanics is very particular and interesting."
"I have had sevier major earthquake in Kobe ( Japan )."
There are engaging assignments and exercises that reinforce the material.
"Amazing tutorial and presentations."
"Great explanations and course structure."
"A well-organized course on quantum mechanics."
"I'm so great-full to attend your lecture, thank you for arranging such a course."
The instructor is knowledgeable and engaging.
"Thank you for letting me allow to hear your kind lecture, sir."
"This course was very informative and helpful."
"Best instructor and wonderful teaching style and I love quantum."
"Very Useful and Good Lecture by Prof. John W. Daily"
Course is well delivered with a good syllabus and clear instructions.
"Course has been excellently delivered by Instructor."
"This Course on Quantum Mechanics is well organized and easy to understand."
"This course on Quantum Mechanics is very particular and interesting."
"A good course with a good syllabus."
There could be more practice opportunities.
"The exercise/assessment part of this course needs some major modifications."
"Great explanations and course structure."
"some sort of examples as to how to approach certain problems were given"
"it's an interesting content, explained in a short time."
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
Show steps
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
Show steps
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'
Show steps
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
Show steps
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
Show steps
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
Show steps
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
Show steps
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
Show steps
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
Review calculus
Show steps
This course will require calculus. Spend some time reviewing these concepts prior to the first class.
Browse courses on
Calculus
Show steps
Show steps
Show steps
- Review differentiation
- Practice integration
- Review multivariable calculus
Review linear algebra
Show steps
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
Show steps
Show steps
- Review matrix operations
- Practice solving systems of linear equations
- Review vector spaces
Read 'Quantum Mechanics for Mathematicians'
Show steps
This book provides a mathematically rigorous introduction to quantum mechanics. Reading it will give you a strong foundation for this course.
Show steps
Show steps
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
Show steps
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
Show steps
Show steps
- Watch the first three lectures
- Take notes on the key concepts
Solve quantum mechanics practice problems
Show steps
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
Show steps
Show steps
- Find practice problems online or in textbooks
- Solve the problems
- Check your answers
Create a concept map of quantum mechanics
Show steps
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
Show steps
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
Show steps
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
Show steps
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
Show steps
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
Show steps
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:
Quantum Chemist
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.
Quantum Computing Scientist
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.
Physicist
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.
Research Scientist
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.
Nuclear Engineer
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.
Computational Scientist
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.
Materials 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.
Aerospace Engineer
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.
Mechanical 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.
Chemical 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.
Electrical 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.
Operations Research Analyst
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.
Software Engineer
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.
Systems Analyst
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.
Technical Writer
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.
For more career information including salaries, visit:
OpenCourser.com/course/fcb97s/quantum
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.
Comprehensive and rigorous introduction to quantum mechanics. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics.
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.
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.
Comprehensive and rigorous introduction to quantum mechanics. It valuable resource for students who want to learn more about the fundamental principles of quantum mechanics.
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.
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.
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.
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.
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.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/fcb97s/quantum
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Effort
Three weeks of content. Six to nine hours per week, including studying.
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Advanced
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University of Colorado Boulder
Instructor
John W. Daily
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English
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آذربایجان دیلی
This course belongs to a
collection
called
Statistical Thermodynamics. It's comprised of five courses:
Good to know
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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