How (not) to teach Lorentz covariance of the Dirac equation (CROSBI ID 205303)
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Podaci o odgovornosti
Nikolić, Hrvoje
engleski
How (not) to teach Lorentz covariance of the Dirac equation
In the textbook proofs of the Lorentz covariance of the Dirac equation, one treats the wave function as a spinor and gamma matrices as scalars, leading to a quite complicated formalism with several pedagogic drawbacks. As an alternative, I propose to teach the Dirac equation and its Lorentz covariance by using a much simpler, but physically equivalent formalism, in which these drawbacks do not appear. In this alternative formalism, the wave function transforms as a scalar and gamma matrices as components of a vector, such that the standard physically relevant bilinear combinations do not change their transformation properties. The alternative formalism allows also a natural construction of some additional non-standard bilinear combinations with well-defined transformation properties.
Dirac equation; Lorentz covariance; scalar wave function
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nije evidentirano
nije evidentirano
nije evidentirano
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Podaci o izdanju
35
2014.
035003-1-035003-10
objavljeno
0143-0807
10.1088/0143-0807/35/3/035003