Mathematica Eterna
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Non-Hermitian Hamiltonian in P T−symmetric Quantum System

Xiao-Yu Li, Yi-Fan Han, Xin-Lei Yong, Xue Gong and Yuan-Hong Tao

The specific forms of P T−symmetric Hamiltonians in 2×2 quantum system are studied in this paper. Depending on the relationship between the non-Hermitian and Hermitian matrices and the special property of the Hamiltonian satisfying P T symmetry, the specific forms of the nonHermitian but P T symmetric Hamiltonian are presented, and thus a general method for discussing such problems in higher dimension systems is established.