Studying Advanced quantum mechanics in high-energy theory/cosmology

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Key chapters from Sakurai's Advanced Quantum Mechanics that are particularly relevant for research in high-energy theoretical physics, including string/brane cosmology, quantum gravity, and dark matter theories, focus on advanced topics in quantum mechanics that underpin these areas. Important concepts include the formalism of quantum field theory, which is essential for understanding particle interactions and cosmological perturbations. Chapters that delve into the principles of quantum mechanics related to symmetries and conservation laws are also crucial, as they relate to the underlying physics of inflationary models and topological defects. Given the background in quantum mechanics, it is advisable to concentrate on sections that address quantum field theory and its applications to cosmology and string theory, while potentially revisiting challenging topics like time-dependent perturbations and scattering, as these are foundational for advanced research in these fields.
spaghetti3451
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I would like to know which chapters from the Advanced Quantum Mechanics textbook by Sakurai are most relevant to research work in high-energy theoretical physics.

The kind of research topics that I have in mind pertain to work in string/brane cosmology, cosmological perturbations, dark matter theories, inflationary models of the early universe, topological defects, etc. and all kinds of research work in quantum gravity and string theory.

My goal is to read only those chapters from Sakurai which are most relevant to work in these research topics. In the past, I have spent too much time learning subjects such as atomic and molecular physics, solid state physics, etc. and now I end up having no use for these. So, I would like to know which chapters you consider to be most relevant to research work in cosmology, quantum gravity and string theory.
 
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What is your background in QM?
 
I took two courses in Quantum Mechanics at the level of Griffiths.

The first course covered the first half of the textbook and I am fairly adept at basic QM.

The second course covered the second half of the textbook, but I am not adept at material such as WKB, time-dependent perturbations, variational principle, scattering, etc.
 
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Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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