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.
CITATION STYLE
Yang, J. (2018). Construction of non- PT -Symmetric complex potentials with all-real spectra. In Springer Tracts in Modern Physics (Vol. 280, pp. 513–534). Springer Verlag. https://doi.org/10.1007/978-981-13-1247-2_18
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