Looking for resources to learn bra-ket notation

In summary, resources for learning bra-ket notation include online tutorials, textbooks on quantum mechanics, video lectures, and academic papers that explain the mathematical framework and applications of this notation in quantum physics. Many educational platforms also offer courses that cover this topic in depth, catering to different levels of understanding.
  • #1
zoltrix
70
7
hello

I own two books of quantum physics
In the first part the authors emphasize the bra-ket notation, explaining how important and useful it is
in the second part, they go to pratical examples
no mention of brackets , they just use the Schrodinger's equation....
may you suggest a book or an scientific article which makes an actual use of such notation ?
 
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  • #2
Have you tried Sakurai's original book? Starts with bra-kets and keeps going with them throughout.
 
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  • #3

Quantum Mechanics: Concepts and Applications​

by Nouredine Zettili

is also a good book to start Braket notation with solved examples.
 
  • #4
I could suggest you look at 'The Principles of Quantum Mechanics' by Paul Dirac if you can borrow a copy. He invented these vectors, and his explanation is still one of the best. He doesn't say explicitly that the product is a 'bracket' but otherwise he is clarity itself.
 
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FAQ: Looking for resources to learn bra-ket notation

What is bra-ket notation and why is it important?

Bra-ket notation, also known as Dirac notation, is a standard mathematical notation used in quantum mechanics to describe quantum states. It is important because it provides a concise and clear way to represent complex quantum states and operations, making it easier to perform calculations and understand the underlying physics.

Where can I find introductory resources to learn bra-ket notation?

Introductory resources for learning bra-ket notation can be found in various places, including textbooks on quantum mechanics such as "Principles of Quantum Mechanics" by R. Shankar or "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili. Additionally, online platforms like Khan Academy, Coursera, and edX offer courses that cover the basics of quantum mechanics and bra-ket notation.

Are there any online tutorials or videos specifically focused on bra-ket notation?

Yes, there are several online tutorials and videos that focus specifically on bra-ket notation. Websites like YouTube have educational channels such as "MinutePhysics" and "PBS Space Time" that explain quantum mechanics concepts, including bra-ket notation. Furthermore, platforms like Brilliant.org and MIT OpenCourseWare provide structured tutorials and lectures on the topic.

What are some good exercises to practice bra-ket notation?

Good exercises to practice bra-ket notation include problems involving the manipulation of quantum states, such as calculating inner products (brackets) and outer products, working with operators, and solving eigenvalue problems. Many quantum mechanics textbooks provide end-of-chapter problems that are excellent for practice. Additionally, online resources like Quantum Computing Playground and Quantum Mechanics problem sets available on university websites can offer valuable practice.

How can I check my understanding and progress in learning bra-ket notation?

You can check your understanding and progress in learning bra-ket notation by regularly solving problems and comparing your solutions with those provided in textbooks or online resources. Participating in online forums like Physics Stack Exchange or Reddit's r/quantum can also help, as you can ask questions, share your solutions, and receive feedback from the community. Taking quizzes and tests available on educational platforms like Coursera or edX can also provide a good measure of your progress.

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