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On the Lorentz invariance of the Square root Klein-Gordon Equation: the correction of the Born rule | | Mohammad Javad Kazemi
; Mohammad H.Barati
; Jafar Khodagholizadeh
; | | Date: |
19 Oct 2014 | | Abstract: | In this paper, we investigate the Lorentz invariance of the square root
Klein-Gordon equation. This equation with interpreting $|psi|^{2}$ as position
probability density is not Lorentz invariance but we can make this equation
Lorentz invariant with the help of new proper interpretation of the wave
function. In this regard we consider the relation between the probability
density and the wave function as$
ho=psi psi^{ast}+
(hat{D}psi)^{ast}hat{D}psi$ and show appropriate selection of the linear
operator$hat{D}$the square root Klein-Gordon equation will be Lorentz
invariant. In fact the solutions of this equation is "equivalent" to the
positive energy solutions of the Dirac equation. end{abstract} | | Source: | arXiv, 1410.5041 | | Services: | Forum | Review | PDF | Favorites | |
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