Sources to learn about Berry phases and Adiabatic Theorem

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Discussion Overview

The discussion focuses on resources for learning about Berry phases and the Adiabatic Theorem in quantum mechanics, particularly from the perspective of an undergraduate student. Participants share their experiences with various texts and the complexity of the topics involved.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant mentions Griffiths' Quantum Mechanics text as a starting point, noting its chapter on the Adiabatic Theorem that includes Berry phase and the Aharonov-Bohm effect.
  • Another participant suggests that Sakurai's text explains these concepts well, specifically referencing chapter 5 for Berry phases and chapter 2 for the Aharonov-Bohm effect.
  • A participant questions the suitability of Sakurai for undergraduates, implying it may be too advanced.
  • Another participant argues that a solid understanding of the first half of Griffiths and possibly Shankar is necessary before tackling Sakurai, emphasizing the subtlety of the topics.

Areas of Agreement / Disagreement

Participants express differing opinions on the appropriateness of Sakurai for undergraduate students, with some suggesting it is manageable after certain prerequisites, while others express concern about its complexity.

Contextual Notes

There is an acknowledgment of the subtlety of the Adiabatic Theorem and Berry phases, indicating that a strong foundational knowledge in quantum mechanics is necessary to fully grasp these concepts.

Who May Find This Useful

Undergraduate students interested in quantum mechanics, particularly those looking for resources on Berry phases and the Adiabatic Theorem.

Joker93
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Hello,
I recently went through Griffiths' Quantum Mechanics text and there is a chapter called the Adiabatic Theorem that includes Berry phase and the Aharonov-Bohm effect.
As I found them very interesting, I would appreciate if anyone could provide me with some good sources(books, internet links etc) to learn more about them.
Please keep in mind that I am only an undergraduate student, so difficult graduate stuff might not be of very use for me.
Thanks in advance!
 
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Sakurai explains it quite well in chapter 5. Chapter 2 includes the aharonov boom effect which is then covered again in chapter 5.
 
radium said:
Sakurai explains it quite well in chapter 5. Chapter 2 includes the aharonov boom effect which is then covered again in chapter 5.
thanks for answering!But isn't sakurai a graduates test?
 
After you've read the first half of Griffiths you should be able to understand it. When I learned quantum mechanics, I read the first few chapters of Griffiths and Shankar and then went straight to Sakurai. Also, the adiabatic theorem and Berry's phases are very subtle topics. In order to understand them well you need to know a lot of the stuff in Sakurai at least.
 
radium said:
After you've read the first half of Griffiths you should be able to understand it. When I learned quantum mechanics, I read the first few chapters of Griffiths and Shankar and then went straight to Sakurai. Also, the adiabatic theorem and Berry's phases are very subtle topics. In order to understand them well you need to know a lot of the stuff in Sakurai at least.
ok,thanks..
 

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