ON A GENERAL NONLINEAR SCHRODINGER-EQUATION ADMITTING DIFFUSION CURRENTS

被引:148
作者
DOEBNER, HD
GOLDIN, GA
机构
[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
[2] RUTGERS STATE UNIV,DEPT PHYS,NEW BRUNSWICK,NJ 08903
关键词
D O I
10.1016/0375-9601(92)90061-P
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Some fundamental considerations of quantum theory suggest a general, complex nonlinear Schrodinger equation outside the classes most often studied. The equation follows from admitting quantum diffusion currents, so that the probability density satisfies a Fokker-Planck equation; the real diffusion coefficient D yields observable effects dependent on a dimensionless constant GAMMA = Dm/HBAR. The diffusion currents stem from unitary representations of an infinite-dimensional Lie algebra of vector fields and group of diffeomorphisms, earlier proposed to describe nonrelativistic quantum kinematics.
引用
收藏
页码:397 / 401
页数:5
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