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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-12-31
摘要
We consider two kinds of solutions of a recently proposed field theory leading to a 非線性 Schrodinger equation exhibiting solitonlike solutions of the power- law form e(q)(i(kx-wt)) , involving the q exponential function naturally arising within nonextensive thermostatistics [e(q)(2) equivalent to 1 + (1-q)z, with e(1)(z) = e(z)]. These fundamental solutions behave like free particles, satisfying p = hk, E = hw, and E = p(2)/2m (1 <= q < 2). Here we introduce two additional types of exact, analytical solutions of the aforementioned field theory. As a first step we extend the theory to situations involving a potential energy term, thus going beyond the previous treatment concerning solely the free- particle dynamics. Then we consider both bound, stationary states associated with a
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