非对称双势阱中的运动
Motion in an Asymmetric Double Well
摘要:
用Weierstrass椭圆函数和Jacobi椭圆函数求解了非对称双势阱中粒子的运动问题。虽然轨道运动的解简单地用维尔斯特拉斯椭圆函数表示,但振荡周期更直接地用雅可比椭圆函数的周期表示。
英文摘要:
The problem of the motion of a particle in an asymmetric double well is solved explicitly in terms of the Weierstrass and Jacobi elliptic functions. While the solution of the orbital motion is expressed simply in terms of the Weierstrass elliptic function, the period of oscillation is more directly expressed in terms of periods of the Jacobi elliptic functions.
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