Recommended References for Mathematical Methods in Quantum Mechanics

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SUMMARY

The discussion centers on recommended references for mathematical methods in quantum mechanics, particularly to complement David Griffiths' textbook. Users suggest Shankar's quantum mechanics book, which includes a comprehensive review of linear algebra relevant to complex vector spaces. Additionally, Arfken's "Mathematical Methods for Physicists" is recommended for its depth, while Schaum's Outline of Complex Variables is suggested as a more accessible option with numerous worked examples.

PREREQUISITES
  • Understanding of linear algebra, particularly in complex vector spaces.
  • Familiarity with quantum mechanics principles as outlined in Griffiths' textbook.
  • Basic knowledge of mathematical methods used in physics.
  • Experience with problem-solving techniques in mathematical contexts.
NEXT STEPS
  • Study Shankar's quantum mechanics book for its linear algebra review.
  • Read Arfken's "Mathematical Methods for Physicists" for advanced mathematical techniques.
  • Explore Schaum's Outline of Complex Variables for practical examples and exercises.
  • Investigate additional resources on vector spaces and their applications in quantum mechanics.
USEFUL FOR

Students and self-learners of quantum mechanics, physicists seeking to strengthen their mathematical foundation, and educators looking for supplementary materials to enhance their curriculum.

Ahmad Kishki
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I am self studying quantum mechanics from griffiths at the moment, and the formalism chapter (to me) seems to be an overview, and since most of the linear algebra i did was in real numbers, most of the stuff are new to me. So i want you to recommend a reference for math to go along with griffiths.

Thank you
 
Hello, there is a quantum mechanics book by Shankar which has a fairly considerable linear algebra review as the first chapter or two. By virtue of it being in a quantum mechanics book it focuses on the essential topics for vector spaces over the complex numbers.
 
Last edited:
I used Arfken "Mathematical Methods for Physicists", which has been through a few editions since I was an undergrad.

You might be able to get by with something a little less weighty. For example, Schaum's Outline of Complex Variables is pretty cheap and has tons of worked examples. If you are really keen you might get both.
 

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