First-order differential equations for a particle with spin $S = 1$

B. E. Grinyuk

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arXiv · 1801.08414

First-order differential equations for a particle with spin $S = 1$

B. E. Grinyuk

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Abstract

A system of first-order differential equations for a particle with nonzero mass and spin $S = 1$ is constructed. As distinct from the Proca-Duffin-Kemmer (PDK) equations, the system has the form of the dynamical equation $i\hbar\partial_t\hat{\Psi}=\hat{\mathrm{H}}\hat{\Psi}$ (with constraints) with a Hamiltonian linear in momentum. The six-component wave function yields the positive-definite probability density $\hat{\Psi}^{\dagger}\hat{\Psi}\geq 0$. The system of equations has much in common with the Dirac and Maxwell equations.

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B. E. Grinyuk. 2018-01-25. First-order differential equations for a particle with spin $S = 1$. https://arxiv.org/abs/1801.08414

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