Quantum Mechanics Book: Intro Guide & Math Derivations

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SUMMARY

This discussion identifies several key texts for introductory quantum mechanics that emphasize mathematical rigor. Recommended books include "Modern Quantum Mechanics" by Sakurai, "Introduction to Quantum Mechanics" by Griffiths, and "Nonrelativistic Quantum Mechanics" by A.Z. Capri. Additionally, "Mathematical Concepts of Quantum Mechanics" by Gustafson and Sigal is noted for its thoroughness. The conversation highlights the importance of pairing quantum mechanics study with electrodynamics for a comprehensive understanding of undergraduate physics.

PREREQUISITES
  • Familiarity with quantum mechanics postulates
  • Basic understanding of Hilbert spaces
  • Knowledge of undergraduate physics curriculum
  • Mathematical proficiency in calculus and linear algebra
NEXT STEPS
  • Study "Modern Quantum Mechanics" by Sakurai for foundational concepts
  • Explore "Introduction to Quantum Mechanics" by Griffiths for problem-solving techniques
  • Read "Mathematical Concepts of Quantum Mechanics" by Gustafson and Sigal for advanced mathematical insights
  • Investigate "Introduction to Electrodynamics" by Griffiths to complement quantum mechanics knowledge
USEFUL FOR

Students and educators in physics, particularly those pursuing a deeper understanding of quantum mechanics and its mathematical foundations, will benefit from this discussion.

Xian
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Hi guys, I'm looking for a good book on introductory quantum mechanics that is also really thorough in terms of mathematical derivations but still presents the physical concepts in a well written and enlightening manner. In other words, just a really really good introductory text on quantum mechanics. Thanks in advance guys.
 
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I'm not sure how 'introductory' you are looking for, since you are (wisely) interested in mathematical rigor. I like Sakurai's Modern Quantum Mechanics for introductory stuff, his Advanced QM would be too much, I'd imagine. Cohen-Tannoudji's two parter is not bad for derivations either, I found.
 
whybother, by mathematically "rigorous" I think he means given QM postulates, can one derive all the equations associated with introductory QM.

I share your pain.

I don't have a Quantum Mechanics book yet.

However, my dad is a Mathematician and he has book titled "Introduction to Hilbert Spaces and Applications." I perused through it recently when I was bored and found an 80 page section titled "Mathematical Foundations of Quantum Mechanics."

It is funny that I had that book with me.
 
Now that this thread has been moved to the Science Books forum, you might want to browse around here for other threads about QM books. :smile:
 
A.Z. Capri(Emeritus Professor in Alberta U.): Nonrelativistic Quantum Mechanics, World Scientific, Singapore, 2002. Also with a further step of his Relativistic Quantum Mechanics.
 
I think Griffiths is still a good standard in intro QM.
 
Feldoh said:
I think Griffiths is still a good standard in intro QM.

I second the vote for Griffiths. Although I also recommend learning QM in conjunction with Griffiths' Introduction to Electrodynamics. If you work through these two books you will know the better part of the undergraduate physics curriculum.
 
1. A.Z. Capri(Professor Emeritus in Alberta U., Canada): Nonrelativistic Quantum Mechanics, World Scientific, Singapore, 2002, as well as Problems & solutions in nonrelativistic quantum mechanics. River Edge, N.J. : World Scientific, c2002. Also with a further step of his Relativistic Quantum Mechanics and Introduction to Quantum Field Theory, River Edge, NJ : World Scientific, 2002.

2. Stephen J. Gustafson, Israel Michael Sigal. Mathematical concepts of quantum mechanics. Berlin ; New York : Springer, 2003.
 
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Zettili
 
  • #12
"mr tompkins in wonderland" is a very good introdutuary book on quantom mechanics

dont know if you will be able to find it though.
 

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