The presence of the second order time derivative terms in interaction Lagrangian density of fermions system precludes to apply directly the quantization procedure to its canonical Hamiltonian. Field transformation is used here to handle this problem, so that the transformed Hamiltonian density can be quantized by using Dirac quantization procedure. We obtain the two sets primary constraints which are used to construct Dirac matrix, bracket relation as well as the transformed Hamiltonian. Using this transformed Hamiltonian, the 00-component of energy momentum tensor as well as the equation of state of the system are calculated.
|Jurnal Matematika dan Sains (e-Journal)
|Published - 2012