Solving bound states in one-dimensional PT symmetric delta potential using Fourier transform
Systems with PT symmetry are a hot topic in quantum mechanics research.The bound state problem in one-dimensional PT-symmetric delta potential well is the most simplified model of PT system,and its exact so-lution is a teaching problem with scientific research value.In this work,the effect of PT symmetry on the bound state and the intrinsic energy of a system is studied by solving the stationary Schrödinger equation of one-dimen-sional PT-symmetric delta potential.Firstly,the stationary Schrödinger equation of one-dimensional PT-symmetric delta potential is solved and discussed by Fourier transform.Secondly,the contours of the bound states and the in-trinsic energies of the system are determined by numerical means.Finally,the relationship between PT symmetry potential strength and intrinsic energy is analyzed and discussed.In this paper,the traditional Hermitian delta po-tential well eigenvalue problem is extended to non-Hermitian delta potential well problem,which is a useful and timely extension of the necessary exercises in quantum mechanics teaching.
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