Dirac's Coupling to an electromagnetic field and schroedingers

In summary, the conversation discussed the possibility of obtaining the Dirac's equation for a particle in an electromagnetic field by transforming the wave function. The webpage mentioned in the conversation provided a complicated explanation, but the transformation can be achieved by substituting del with del-iqA. This transformation is part of the gauge transformation and works for both the Schrodinger and Dirac equations.
  • #1
g.bashyam
3
0
hi
i just read this article,which discussed about getting the Schroedinger's equation for a particle in a em field by transforming the psi, http://www.vttoth.com/gauge.htm .can anyone please tell me if we can get the dirac's equation for a particle in a em field by transforming the psi
thanks in advance!
regards
bashyam govindhan
 
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  • #2
As far as I know, the same calculations can be made for the Dirac Hamiltonian.
 
  • #3
That webpage is a bit complicated. To put the EM interaction into any QM wave equation
(Schrodinger or Dirac) the substitution del-->del-iqA works.
The transformation of the psi is part of the gauge transformation which works if the form
del-iqA is used.
( gave up on the latex.)
 
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What is Dirac's coupling to an electromagnetic field?

Dirac's coupling to an electromagnetic field is a mathematical framework that describes the interaction of a quantum mechanical particle with an electromagnetic field.

How is Dirac's coupling to an electromagnetic field related to Schrödinger's equation?

Dirac's coupling to an electromagnetic field is an extension of Schrödinger's equation, which only describes the behavior of non-relativistic particles. By including the electromagnetic field, Dirac's equation can accurately describe the behavior of relativistic particles.

What are the key components of Dirac's coupling to an electromagnetic field?

The key components of Dirac's coupling to an electromagnetic field are the Dirac equation, which describes the behavior of a quantum particle, and the electromagnetic potential, which describes the behavior of the electromagnetic field.

How is Dirac's coupling to an electromagnetic field used in particle physics?

Dirac's coupling to an electromagnetic field is a fundamental aspect of the Standard Model of particle physics. It is used to describe the behavior of fermions, such as electrons, in the presence of an electromagnetic field.

Are there any real-world applications of Dirac's coupling to an electromagnetic field?

Yes, there are many real-world applications of Dirac's coupling to an electromagnetic field. For example, it is used in the development of new materials, such as topological insulators, and in the study of high-energy particle interactions in accelerators.

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