How to learn Quantum Mechanics on your own (a self-study guide)

Looking Glass Universe
8 Aug 201909:46
EducationalLearning
32 Likes 10 Comments

TLDRThe video script is a guide for learning quantum mechanics without extensive mathematical prerequisites. The presenter, Mithuna, a PhD student in Quantum Computing, shares her journey from disliking quantum mechanics to finding it exciting. She recommends starting with Volume 3 of the Feynman Lectures on Physics for intuition, then delving into linear algebra with selected chapters from Gilbert Strang's textbook. Two main quantum textbooks are suggested: 'The Theoretical Minimum' by Susskind and Friedman, and 'A Modern Approach to Quantum Mechanics' by Townsend. Mithuna emphasizes the importance of practice and understanding core concepts, not just memorization, to truly grasp quantum mechanics.

Takeaways
  • 📚 Mithuna, a PhD student in Quantum Computing, shares curated resources to learn quantum mechanics with minimal mathematical prerequisites, emphasizing free or affordable materials.
  • 💻 The recommended starting point is Volume 3 of the Feynman Lectures on Physics, available for free online, which prioritizes intuition before diving into complex math.
  • 🔬 Emphasizes the importance of understanding quantum mechanics intuitively rather than just mathematically, critiquing traditional education methods.
  • 📗 Suggests using linear algebra as a more accessible mathematical foundation for quantum mechanics, recommending Gilbert Strang's Introduction to Linear Algebra for beginners.
  • 👨‍💻 Mithuna has created videos covering essential linear algebra topics necessary for quantum mechanics, aimed at providing a clear understanding for beginners.
  • 📖 Two main textbooks are recommended: 'The Theoretical Minimum' by Leonard Susskind and Art Friedman for comprehensive learning, and 'A Modern Approach to Quantum Mechanics' by Townsend for a more detailed study.
  • ✨ Highlights the value of studying from multiple sources to gain different perspectives and deeper understanding of quantum mechanics.
  • 📈 Advises on acquiring older editions of recommended textbooks to save money, noting that many are widely available due to their popularity.
  • 🔥 Stresses the importance of actively solving practice problems and utilizing techniques like the Feynman technique for effective learning, rather than passive reading.
  • 💬 Encourages sharing learnings and discussions in a newly created subreddit, fostering a community of learners and providing additional support.
Q & A

  • What is the main challenge the speaker faced when first learning about quantum mechanics?

    -The speaker initially found quantum mechanics difficult and uninteresting, leading to a switch from physics to maths. However, after revisiting the subject with a fresh perspective, they discovered that quantum mechanics is actually very exciting, but the typical university introduction to the topic is often not effective.

  • What is the significance of the Feynman Lectures on Physics, Volume 3, in learning quantum mechanics?

    -The Feynman Lectures on Physics, Volume 3, are significant because they focus on building intuition before delving into the mathematical aspects of quantum mechanics. Feynman's approach makes the subject more accessible and understandable, and these lectures are freely available online.

  • Why did the speaker choose to create this video?

    -The speaker created the video to recommend resources that can help others learn quantum mechanics rigorously without requiring extensive mathematical prerequisites. The speaker's own journey with quantum mechanics inspired them to share their findings with others who might struggle with the subject initially.

  • What is the recommended approach to learning quantum mechanics without a strong math background?

    -The recommended approach is to use linear algebra instead of calculus, which is easier and more applicable to quantum computing. The speaker suggests selected chapters from Gilbert Strang's 'Introduction to Linear Algebra' to build the necessary math background.

  • How do the books 'The Theoretical Minimum' and 'A Modern Approach to Quantum Mechanics' complement each other?

    -Both books cover similar ground but in different ways. 'The Theoretical Minimum' provides helpful discussions before diving into the math and is suitable for those without a physics background, while 'A Modern Approach to Quantum Mechanics' captures the core ideas of quantum mechanics at the right level, making them complement each other well for a comprehensive understanding.

  • What is the Feynman Technique and how can it help in learning quantum mechanics?

    -The Feynman Technique involves writing down a topic you don't understand, then explaining it as if you were teaching it to someone else. This forces you to clarify your thoughts and confusions, and often helps in identifying the exact points of misunderstanding. It's a valuable method for learning quantum mechanics because it encourages understanding the core concepts without relying on jargon or complex equations.

  • What advice does Scott Young give for effective learning of physics?

    -Scott Young emphasizes the importance of practice problems over just reading textbooks and attending lectures. He suggests that doing practice problems is more effective because it involves active retrieval, which helps in better retention, and treats physics as a skill that needs to be practiced, similar to learning to ride a bicycle.

  • How does the speaker plan to support their audience in their quantum mechanics learning journey?

    -The speaker provides a blog post with additional resources, recommended problems to solve from the textbooks, and a Subreddit for the channel where learners can share their progress and challenges. The speaker also encourages the audience to explain quantum mechanics concepts in their own words, which helps in solidifying understanding.

  • What are some tips for overcoming the challenge of feeling like you understand a topic when you've just become familiar with the text?

    -To overcome this challenge, Scott Young suggests various methods found in his book 'Ultralearning,' such as active problem-solving, retrieval practice, and applying the material in different contexts. These methods help distinguish between familiarity with the text and true understanding of the subject matter.

  • What is the speaker's personal experience with learning quantum mechanics?

    -The speaker initially disliked quantum mechanics and switched their field of study. However, after taking a break and revisiting the subject with a new perspective, they found it to be very exciting. The speaker then used the Feynman Technique to deepen their understanding by explaining quantum mechanics concepts in YouTube videos, which eventually led to the creation of their channel.

  • What are some advanced resources mentioned for further study in quantum mechanics?

    -The speaker mentions having a collection of advanced resources for those interested in delving deeper into quantum mechanics. These resources are discussed in a blog post rather than in the video to avoid overwhelming beginners and to provide a more focused guide for those who have already studied quantum mechanics or wish to explore advanced topics.

Outlines
00:00
📚 Introduction to Quantum Mechanics Learning Journey

The speaker, Mithuna, a PhD student in Quantum Computing, shares her initial dislike for quantum mechanics and her subsequent change of heart after exploring various textbooks and online resources. She has curated a list of resources for learning quantum mechanics without extensive mathematical prerequisites, emphasizing the importance of intuition over immediate delving into complex math. Mithuna recommends starting with Volume 3 of the Feynman Lectures on Physics for its focus on building intuition, which is available for free online. She also suggests selected chapters from Gilbert Strang's 'Introduction to Linear Algebra' to build the necessary mathematical foundation for understanding quantum mechanics, and provides guidance on how to approach learning this complex subject.

05:04
🤓 Strategies for Effective Quantum Mechanics Study

Mithuna discusses the common pitfall of误以为 understanding content simply by reading textbooks and emphasizes the importance of practicing problems to truly grasp quantum mechanics. She references Scott Young's book on learning strategies, highlighting the concept of 'retrieval' and the idea that physics is a skill to be learned through active problem-solving. Mithuna introduces the 'Feynman Technique' as a method for clarifying understanding by explaining concepts to others without jargon. She shares her personal experience of using this technique through creating YouTube videos to teach quantum mechanics, which forced her to distill the core intuition behind complex topics. Mithuna encourages viewers to share their motivations and challenges in learning quantum mechanics and invites them to join a Subreddit community for the channel.

Mindmap
Keywords
💡Quantum Mechanics
Quantum mechanics is a fundamental theory in physics that describes the behavior of matter and energy at the atomic and subatomic scales. It is known for its counterintuitive concepts and mathematical complexity. In the video, the speaker discusses their initial dislike for quantum mechanics due to the way it is typically taught in universities, which they find inadequate, and later their appreciation for the subject after discovering more intuitive resources.
💡Linear Algebra
Linear algebra is a branch of mathematics that deals with linear equations and their representations in vector spaces and through matrices. It is essential for understanding the mathematical foundations of quantum mechanics, as it provides the language and tools for describing quantum states and operations. The video emphasizes the use of linear algebra instead of calculus, which is traditionally used in quantum physics but can be more intimidating and less intuitive.
💡Feynman Lectures on Physics
The Feynman Lectures on Physics are a series of lectures given by physicist Richard Feynman, known for their clarity and intuitive approach to complex topics. Volume 3 of these lectures, which is freely available online, is recommended in the video as a starting point for learning quantum mechanics because it focuses on building intuition before delving into mathematical details.
💡The Theoretical Minimum
The Theoretical Minimum is a book by Leonard Susskind and Art Friedman that provides an introduction to quantum mechanics and other theoretical concepts without assuming extensive prior knowledge. The book is designed for readers without a physics background but is also valuable for physics majors due to its clear explanations and helpful discussions before presenting the mathematical aspects of each topic.
💡A Modern Approach to Quantum Mechanics
A Modern Approach to Quantum Mechanics is a textbook by J. P. Townsend that serves as an introductory guide to the subject. The book is appreciated for its inspiration from the Feynman Lectures and its balance between core ideas and mathematical detail, making it accessible and suitable for readers looking to understand quantum mechanics without being overwhelmed by complex equations.
💡Scott Young
Scott Young is an author known for his work on learning strategies and self-education. In the video, his book 'Ultralearning' is referenced, which provides methods and tips for effective learning, particularly in the context of self-study. Young emphasizes the importance of practice and problem-solving over passive reading and lecture attendance.
💡Feynman Technique
The Feynman Technique is a learning method developed by the speaker, inspired by Richard Feynman's approach to teaching and understanding complex concepts. It involves writing down a topic you don't understand, then explaining it as if you were teaching it to someone else. This process helps clarify confusion and identify gaps in understanding.
💡Intuition
In the context of the video, intuition refers to a deep, non-mathematical understanding of quantum mechanics concepts. The speaker argues that starting with intuition, rather than equations and formalism, is a more effective way to learn and appreciate the subject, as it allows learners to grasp the underlying principles before tackling the mathematical rigor.
💡Practice Problems
Practice problems are exercises or questions that learners attempt to solve in order to apply and reinforce the knowledge they have acquired. In the video, the emphasis is on the importance of actively working through problems as a crucial part of learning quantum mechanics, rather than just passively consuming information from textbooks or lectures.
💡Ultralearning
Ultralearning is a book by Scott Young that offers strategies and insights for effective self-directed learning. The book is mentioned in the video as a resource for those interested in improving their learning techniques, particularly in the context of tackling complex subjects like quantum mechanics on their own.
💡Subreddit
A subreddit is a specific community within the social media platform Reddit, dedicated to a particular topic or interest. In the video, the speaker mentions creating a subreddit for their channel as a platform for viewers to share their experiences and progress with the learning project, and for the speaker to keep the audience updated.
Highlights

The speaker compiled a curriculum for learning quantum mechanics without extensive mathematical prerequisites.

Recommended resources for learning quantum mechanics are either free or inexpensive.

The speaker, Mithuna, initially disliked quantum mechanics but later found it exciting after revisiting it with new resources.

Feynman's approach to teaching quantum mechanics emphasizes intuition before math.

Volume 3 of the Feynman Lectures on Physics is recommended for building an intuitive understanding of quantum mechanics.

The Feynman Lectures are available for free online, with essential chapters and links provided in the speaker's blog post.

For those without a strong math background, the speaker suggests using linear algebra instead of calculus to approach quantum physics.

Gilbert Strang's 'Introduction to Linear Algebra' is recommended for learning the necessary math background for quantum mechanics.

The speaker has created videos on linear algebra tailored specifically for quantum mechanics.

The Theoretical Minimum by Leonard Susskind and Art Friedman is recommended for its accessible approach to quantum mechanics.

A Modern Approach to Quantum Mechanics by Townsend is praised for capturing core ideas at the right level.

Seeing the same quantum mechanics concepts explained in different ways is beneficial for understanding.

Practice problems are crucial for truly understanding quantum mechanics, not just reading textbooks.

The Feynman technique is a method for learning difficult concepts by explaining them as if teaching someone else.

The speaker's YouTube channel began as a way to explain quantum mechanics concepts to an audience.

Scott Young's book 'Ultralearning' provides tips for effective self-study, especially for challenging subjects like quantum mechanics.

Explaining quantum mechanics without jargon or complex equations reveals gaps in understanding.

The speaker encourages the audience to share their motivation and challenges in learning quantum mechanics through a dedicated Subreddit.

Transcripts

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