聖塔非研究所

摘要 In the present work, we combine the notion of par

2015-10-01 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 In the present work, we combine the notion of parity time (PT) symmetry with that of supersymmetry (SUSY) for a prototypical case example with a complex potential that is related by SUSY …

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  • 類型:已發表論文
  • 日期:2015-10-01

摘要

In the present work, we combine the notion of parity-time (PT) symmetry with that of supersymmetry (SUSY) for a prototypical case example with a complex potential that is related by SUSY to the so-called Poschl-Teller potential which is real. Not only are we able to identify and numerically confirm the eigenvalues of the relevant problem, but we also show that the corresponding 非線性 problem, in the presence of an arbitrary power-law 非線性ity, has an exact bright soliton solution that can be analytically identified and has intriguing stability properties, such as an oscillatory instability, which is absent for the corresponding solution of the regular 非線性 Schrodinger equation with arbitrary power-law 非線性ity. The spectral properties and dynamical implications of this instability are examined. W

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