聖塔非研究所

摘要 We consider a recently proposed 非線性 Schroedinger

2013 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We consider a recently proposed 非線性 Schroedinger equation exhibiting solitonlike solutions of the power law form e(q)(i(kx wt)), involving the q exponential function which naturally emerg…

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  • 類型:已發表論文
  • 日期:2013

摘要

We consider a recently proposed 非線性 Schroedinger equation exhibiting solitonlike solutions of the power-law form e(q)(i(kx-wt)), involving the q-exponential function which naturally emerges within nonextensive thermostatistics [e(q)(z) equivalent to 1 + (1 - q)z, with e(1)(z) = e(z)]. Since these basic solutions behave like free particles, obeying p = hk, E = h omega, and E = p(2)/2m(1 <= q < 2), it is relevant to investigate how they change under the effect of uniform acceleration, thus providing the first steps towards the application of the aforementioned 非線性 equation to the study of physical scenarios beyond free particle dynamics. We investigate first the behaviour of the power-law solutions under Galilean transformation and discuss the ensuing Doppler-like effects. We cons

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