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- Title
ON SUPERLUMINAL FERMIONS WITHIN THE SECOND DERIVATIVE EQUATION.
- Authors
KRUGLOV, S. I.
- Abstract
We postulate the second-order derivative equation with four parameters for spin-1/2 fermions possessing two mass states. For some choice of parameters fermions propagate with the superluminal speed. Thus, the novel tachyonic equation is suggested. The relativistic 20-component first-order wave equation is formulated and projection operators extracting states with definite energy and spin projections are obtained. The Lagrangian formulation of the first-order equation is presented and the electric current and energy-momentum tensor are found. The minimal and nonminimal electromagnetic interactions of fermions are considered and Schrödinger's form of the equation and the quantum-mechanical Hamiltonian are obtained. The canonical quantization of the field in the first-order formalism is performed and we find the vacuum expectation of chronological pairing of operators.
- Subjects
FERMIONS; SUPERLUMINAL effect; ATOMIC mass; WAVE equation; LAGRANGE equations; SCHRODINGER equation; PARAMETER estimation; QUANTUM theory
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2012, Vol 27, Issue 14, p1250081-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X12500819