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arXiv · 1812.09765

Construction of non-PT-symmetric complex potentials with all-real spectra

Jianke Yang
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Abstract

We review recent work on the generalization of PT symmetry. We show that, in addition to PT-symmetric complex potentials, there are also large classes of non-PT-symmetric complex potentials which also feature all-real spectra. In addition, some classes of these non-PT-symmetric potentials allow phase transitions which do or do not go through exceptional points. These non-PT-symmetric potentials are constructed by a variety of methods, such as the symmetry and supersymmetry methods and the soliton theory. A generalization of PT symmetry in multi-dimensions is also reviewed.

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BibTeXRIS

Jianke Yang. 2018-12-23. Construction of non-PT-symmetric complex potentials with all-real spectra. https://doi.org/10.1007/978-981-13-1247-2_18

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