Schrödinger equation with a nonlinear correction
Qiankai Yao, Jia Yu, Wei Ying-Nai, Ma Bing-Xian, Xinjian Li · Il Nuovo Cimento B · 2001
We derive a nonlinear Schrodinger equation by introducing a nonlinear correction that is associated with the Shannon information entropy S, into quantum mechanics. It is demonstrated that the new equation has the same set of stationary solutions as the linear one. Its nonstationary solutions have the irreversible property, and therefore can be used as a guide in subjecting quantum mechanics to physical evolution that would be sensitive to such correction.