Graduate WKB Approximation: Suggestions for Starting Points

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SUMMARY

The forum discussion centers on recommendations for books on WKB (Wentzel-Kramers-Brillouin) approximation, specifically seeking alternatives to the book by Griffiths. Participants suggest that while Liboff provides a detailed introduction, it lacks advanced content, whereas Shankar offers a more sophisticated treatment of the subject. The consensus indicates a need for resources that bridge the gap between introductory and advanced levels in WKB approximation.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with mathematical methods in physics
  • Basic knowledge of perturbation theory
  • Experience with differential equations
NEXT STEPS
  • Research advanced quantum mechanics textbooks that cover WKB approximation in depth
  • Explore mathematical methods in physics literature for practical applications of WKB
  • Investigate online courses or lectures focusing on perturbation theory
  • Review scholarly articles discussing recent advancements in WKB approximation techniques
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics and mathematical methods, will benefit from this discussion as they seek to deepen their understanding of WKB approximation.

Mrinmoy Naskar
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Any good book for starting wkb approximation except Griffth... Please suggest some...
 
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Liboff explained every detail but not very advanced. Shankar was more advanced.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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