中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 1984, Vol. 3 ›› Issue (4): 7-12.

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Sine-Squared Potential and Semiclassical descriptio for Dechanneting Process

Luo Shiyu, Shao Mingzhu   

  1. Foundamental Sciences Department, Chongqing Jiaotong Institute
  • Received:1984-09-15 Online:1984-08-20 Published:2016-11-07

正弦平方势及其退道过程的WKB近似

罗诗裕, 邵明珠   

Abstract: The new planar-continum potential-the sine squared potential,is introduced to analyse the dechanneling behaviour of the channeling particle, and the particle motion equation is written by the well-known pendulum equation, the dechanneling behaviour is described by using WKB approximation, The results show that The theory is in good agreement with the experiment.

摘要: 本文提出了一种新的平面连续势——正弦平方势,并利用这种相互作用势成功地描写了面沟道粒子的退道行为;粒子的运动方程化为了熟知的摆方程,并用Jacobian椭圆函数和第一类全椭圆积分严格求解了这个方程和振动周期;详细讨论了系统的相平面特征,并用WKB方法对粒子的退道行为作了半经典描述,结果表明,理论和实验符合很好。