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PT-Symmetric Quantum Mechanics: (NxN) Matrix Model

2019/02/19 by Biswanath Rath, Rath, Biswanath
Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1902.07673

openalex publication_date 2019/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a model CCS (complex-conjugate-space) to understand the inner and outer product nature of wave functions in non-hermitian PT-symmetry model in quantum mechanics considering (NxN) matrix model. Further we reflect the correct nature of C-symmetry ,P-parity and original Hamiltonian matrix for any arbitrary values of N. Interestingly the present result on N=2 , remains the same reported earlier by Bender,Brody and Jones model PT-symmetry operator. In non-conventional way one can notice that wave functions in a PT-symmetry model satisfies similar relations as in hermitian operator .

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