Local PT-Symmetry preserves the no-signaling principle, 2016
Pokhrel, Dipendra
2010-2019
Bender and Boettcher explored a quantum theory based on a non-Hermitian PT symmetric Hamiltonian , where PT is the operator of the space-time reflection and demonstrated that the PT-symmetric Hamiltonian can possess entirely real spectra. In this thesis, we point out that in the framework of PT-symmetric quantum mechanics; the calculation of matrix elements in the Hilbert space is ill-defined. We point out the importance of using CPT inner product in PT-symmetric systems. We manifested our assessment using the CPT inner product prescription for the entangled wave function of the composite system. We show that for a composite system with a local PT-symmetry, it preserves the no-signaling condition and the orthogonality of the states.The reduced density matrix is diagonal and independent of the non-Hermitian parameter . We reaffirm the consistency of PT-symmetric quantum mechanics as a candidate for a fundamental theory .
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application/pdf
2016-07-01
thesis
Master of Science (MS)
Clark Atlanta University
School of Arts and Sciences, Physics
Wang, Xiao-Qian Japaridze, George Tayal, Swaraj S.
Georgia--Atlanta
http://hdl.handle.net/20.500.12322/cau.td:2016_pokhrel_dipendra