Notes on micro-continua exhibiting quantum effects
1 Uniqueness concerning exact linearization
Most recently[1-2], the Schr(o)dinger equation governing the quantum effects has been shown to be derivable as exact linearization from the following nonlinear field equations governing the dynamic responses of the newly discovered quantum-continua[1-2]:(e)ρ/(e)t +▽·(ρu)=0, ▽q-ρ▽V=mρ((e)u/(e)t +u·(▽u) , q=1/4h2/mρ▽2(lnρ).(1)As such, exact closed-form solutions are available for the normalized density field ρ, the velocityfield u, the internal stress field q, etc.
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Project supported by the National Natural Science Foundation of China No.11372172
2020-11-02(万方平台首次上网日期,不代表论文的发表时间)
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1597-1598