聖塔非研究所

摘要 An exact classical field theory, for a recently p

2012-02-01 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 An exact classical field theory, for a recently proposed 非線性 generalization of the Schrodinger equation, is presented. In this generalization, a 非線性ity depending on an index q appears in …

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  • 類型:已發表論文
  • 日期:2012-02-01

摘要

An exact classical field theory, for a recently proposed 非線性 generalization of the Schrodinger equation, is presented. In this generalization, a 非線性ity depending on an index q appears in the kinetic term, such that the free-particle linear Schrodinger equation is recovered in the limit q -> 1. It is shown that besides the usual Psi((x) over right arrow, t), a new field Phi((x) over right arrow, t) must be introduced, which becomes Psi*((x) over right arrow, t) only when q -> 1. In analogy to the linear case, rho((x) over right arrow, t) = 1/2V[Psi((x) over right arrow, t) Phi((x) over right arrow, t)+ Psi*((x) over right arrow, t) Phi*((x) over right arrow, t)] is interpreted as the probability density for finding the particle at time t, in a given position (x) over right arrow inside an a

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