Perturbation Theory: Calculating 1st-Order Correction

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Homework Help Overview

The discussion revolves around perturbation theory in quantum mechanics, specifically focusing on calculating the first-order correction. Participants express uncertainty regarding the methods and resources available for understanding this topic.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand the calculation of the first-order correction but feels limited by the examples available in their resources. Other participants question the adequacy of the referenced books and suggest that some do cover higher-order perturbation theory.

Discussion Status

Participants are actively discussing the resources available for learning perturbation theory and expressing varying levels of familiarity with the material. There is a request for clarification on the computation of the first-order correction, indicating a desire for deeper understanding.

Contextual Notes

Some participants note that the level of the books mentioned may be too advanced for the original poster, prompting inquiries about more accessible resources.

ooleonardoo
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Homework Statement
Calculate the second-order corrections to energy for the following Hamiltonian matrix.
Use the degenerate perturbation theory. Consider 'b' as perturbation.
Relevant Equations
...
Of course, this question consisted of two parts. In the first part, we needed to calculate the first-order correction. It was easy. In all the books on quantum mechanics I saw, only first-order examples have been solved. So I really do not know how to solve it. Please explain the solution method to me. Thankful
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What are those books you mention? I would say Sakurai and probably a lot of other books do actually explain how to do PT to arbitrary orders.
 
Gaussian97 said:
What are those books you mention? I would say Sakurai and probably a lot of other books do actually explain how to do PT to arbitrary orders.
gasiorowicz, zettili , griffiths
The level of the book you mentioned is high for me. Do you know of any other book that explains this with an example?
 
Actually, Griffiths does have a discussion on second-order PT.
Anyway, can you show us how did you compute the first-order correction?
 

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