How to Solve the Dirac Equation for a Two-Particle System?

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    Dirac Dirac equation
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Discussion Overview

The discussion centers on solving the Dirac equation specifically for a two-particle system. Participants explore resources and methodologies related to this topic, which involves theoretical and mathematical aspects of relativistic quantum mechanics.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant requests suggestions for books or materials to help solve the Dirac equation for a two-particle system.
  • Another participant recommends the book 'The Dirac Equation' by B. Thaller as a starting point.
  • A different suggestion includes the text by Bjorken and Drell on relativistic quantum mechanics.
  • It is noted that the Dirac equation is fundamentally a one-particle equation, and solving it for two relativistic particles is more complex.
  • Participants mention approximate approaches such as the Breit equation, Bethe-Salpeter equation, and Salpeter equation as potential methods to explore further.

Areas of Agreement / Disagreement

Participants generally agree on the complexity of extending the Dirac equation to two particles and suggest various resources, but there is no consensus on a single approach or solution method.

Contextual Notes

The discussion does not resolve the specific mathematical challenges involved in applying the Dirac equation to a two-particle system, nor does it clarify the limitations of the suggested approaches.

nakulphy
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Hello

I am trying to solve the dirac equation. I want to solve the dirac eq say for 2 particle system. therefore i request you to please suggest me the book or some material.

Thank you
 
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There's a book by B. Thaller called just like that: 'The Dirac Equation'. Read it as a first.
 
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thank you very much
 
See also Bjorken and Drells relativistic quantum mechanics text.
 
The Dirac equation is a 1 particle equation. For 2 relativistic particles, the situation is much more complicated.
Some approximate approaches are Breit equation, the Bethe- Salpeter equation, and the Salpeter equation. You could look them up by using Google.
 
thank you very much I will try on this and will come back to you.
thank you
 

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