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Quantum Simulation
Projective Geometry and cal PT-Symmetric Dirac Hamiltonian
arXiv
Authors: Y. Jack Ng, H. van Dam
Year
2009
Paper ID
9250
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
The (3 + 1)-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in 3-dimensional projective space. The resulting Hamiltonian with a γ5 mass term is not Hermitian, but is invariant under the combined transformation of parity reflection cal P and time reversal cal T. When the cal PT symmetry is unbroken, the energy spectrum of the free spin-frac {1}{2} theory is real, with an appropriately shifted mass.
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- The (3 + 1)-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in...
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