Rigorous Intro to QM: Best Books for Learning

In summary, a rigorous introduction to quantum mechanics aims to provide a thorough understanding of the fundamental principles and mathematical foundations of quantum mechanics, making it essential for those pursuing careers in physics, chemistry, or engineering. Some recommended books for learning quantum mechanics include "Principles of Quantum Mechanics" by R. Shankar, "Quantum Mechanics: The Theoretical Minimum" by Leonard Susskind and Art Friedman, and "Introduction to Quantum Mechanics" by David J. Griffiths. A strong background in calculus, linear algebra, and differential equations is necessary, along with some familiarity with complex numbers and vector spaces. There are also several online resources available for learning quantum mechanics, such as MIT OpenCourseWare, Khan Academy, and Coursera.
  • #1
arildno
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Hi:
I would like to get a mathematically rigorous "introduction" to QM.
Which books would you recommend?
 
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  • #2
That depends, what mathematics have you studied?
 
  • #3
I have a good schooling in partial diff.eq's, complex analysis, asymptotic analysis etc.
I have some very slight acquaintance with abstract algebra, group theory and suchlike.
 
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1. What is the purpose of a rigorous introduction to quantum mechanics?

A rigorous introduction to quantum mechanics aims to provide a thorough understanding of the fundamental principles and mathematical foundations of quantum mechanics. It is essential for anyone pursuing a career in physics, chemistry, or engineering, as quantum mechanics forms the basis of these fields.

2. What are some recommended books for learning quantum mechanics?

Some popular and highly recommended books for learning quantum mechanics include "Principles of Quantum Mechanics" by R. Shankar, "Quantum Mechanics: The Theoretical Minimum" by Leonard Susskind and Art Friedman, and "Introduction to Quantum Mechanics" by David J. Griffiths.

3. How much mathematical background is needed for a rigorous introduction to quantum mechanics?

A strong foundation in calculus, linear algebra, and differential equations is necessary for a rigorous understanding of quantum mechanics. Some familiarity with complex numbers and vector spaces is also helpful.

4. Are there any online resources for learning quantum mechanics?

Yes, there are several online resources available for learning quantum mechanics, such as MIT OpenCourseWare, Khan Academy, and Coursera. These resources offer free lectures, notes, and assignments to help supplement your understanding of the subject.

5. Is it necessary to have prior knowledge of classical mechanics before learning quantum mechanics?

While prior knowledge of classical mechanics can be helpful, it is not necessary for learning quantum mechanics. However, a basic understanding of classical mechanics concepts, such as Newton's laws and conservation of energy, can aid in understanding the differences between classical and quantum systems.

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