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Non-Hermitian PT-Symmetric Theories

Beygi, Alireza

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Abstract

This dissertation concerns the concept of PT symmetry as a replacement of the conventional symmetry of the Dirac Hermiticity of the operators, in particular, for the Hamiltonian. After solving a controversial issue surrounding the claimed violation of the special relativity by PT-symmetric quantum mechanics, we move further to discuss PT symmetry for the systems whose associated time reversal symmetry is odd, i.e., T^2 = −1. Our results, as published papers, are incorporated in the subsequent chapters. Then we conclude by suggestions for future work.

Document type: Dissertation
Supervisor: Klevansky, Prof. Dr. Sandra
Date of thesis defense: 24 July 2019
Date Deposited: 06 Aug 2019 08:38
Date: 2019
Faculties / Institutes: The Faculty of Physics and Astronomy > Institute for Theoretical Physics
DDC-classification: 500 Natural sciences and mathematics
530 Physics
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