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

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
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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