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- W2799285763 abstract "The Hilbert space of states of the relativistic Majorana particle, with the Majorana representation for the Dirac matrices $gamma^{mu}$, consists of bispinors with real components. The usual momentum operator $- i nabla$ can not be defined in such space. We introduce the axial momentum operator, $mathbf{p}_5 = - i gamma_5 nabla$, which is real, and investigate its properties. In the case of massive particle, the axial momentum contains an oscillating component in the Heisenberg picture. Its amplitude is proportional to $m/E$, where $E$ is the energy of the particle and $m$ its mass. We also find the general solution of the Dirac equation in the form of superposition of axial plane waves, which are eigenvectors of the axial momentum." @default.
- W2799285763 created "2018-05-17" @default.
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- W2799285763 date "2018-05-01" @default.
- W2799285763 modified "2023-09-27" @default.
- W2799285763 title "Momentum observable for the relativistic Majorana particle" @default.
- W2799285763 hasPublicationYear "2018" @default.
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