Influences of externally applied potential on the properties of microscopic particles in nonlinear quantum systems

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	Influences of externally applied potential on the properties of microscopic particles in nonlinear quantum systems
	X. F. Pang
	2010
发表期刊	Physica B-Condensed Matter
ISSN	0921-4526
卷号	405 期号:9 页码:2317-2322
摘要	When the Schrodinger equation in quantum mechanics is replaced by the nonlinear Schrodinger equation to describe microscopic particles in nonlinear quantum systems, it has been verified that the nature of the particles differs considerably from those in quantum mechanics, where they are localized and have also wave-corpuscle duality due to the nonlinear interactions. In this case the influences of externally applied potentials in the nonlinear Schrodinger equation on the natures of the microscopic particles have been studied by a perturbation theory. The studied results show that the external potential can change the states of the microscopic particles, such as the positions, amplitude and wave forms, but cannot change the wave-corpuscle duality. In the meanwhile, we find further that the relationship between the external potential and change of positions of the particle satisfies the rule of motion of classical particles. Thus we know from this study that the kinetic energy term, ((h) over bar (2)/2m)del(2)phi, in the nonlinear Schrodinger equation can only make the microscopic particles have a wave feature, but the nonlinear interaction b vertical bar phi vertical bar(2)phi determines its corpuscle feature, their combination makes the microscopic particles have a wave-corpuscle duality, and the potential V((r) over right arrow, t)phi changes only the positions, amplitude and wave form of the particles. Therefore the nonlinear interaction plays an important role in determination of the wave-corpuscle duality of microscopic particles in quantum theory. (C) 2010 Published by Elsevier B.V.
部门归属	[pang xiao-feng] univ elect sci & technol china, inst life sci & technol, chengdu 610054, sichuan, peoples r china. [pang xiao-feng] chinese acad sci, int ctr mat phys, shenyang 110015, peoples r china.;pang, xf (reprint author), univ elect sci & technol china, inst life sci & technol, 4 jianshe rd, chengdu 610054, sichuan, peoples r china;pangxf2006@yahoo.com.cn
关键词	Microscopic Particle Schrodinger Equation External Potential Wave-corpuscle Duality Nonlinear Interaction Quantum Mechanics Schrodinger-equation
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WOS记录号	WOS:000277719500034
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文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/31402
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	X. F. Pang. Influences of externally applied potential on the properties of microscopic particles in nonlinear quantum systems[J]. Physica B-Condensed Matter,2010,405(9):2317-2322.
APA	X. F. Pang.(2010).Influences of externally applied potential on the properties of microscopic particles in nonlinear quantum systems.Physica B-Condensed Matter,405(9),2317-2322.
MLA	X. F. Pang."Influences of externally applied potential on the properties of microscopic particles in nonlinear quantum systems".Physica B-Condensed Matter 405.9(2010):2317-2322.