Solution of the Hamilton - Jacobi Equations in an Electromagnetic Field Using Separation of Variables Method - Staeckel Boundary Conditions

被引：0

作者：

Al-Khamiseh, B. M. ^{[1
]}

Hijjawi, R. S. ^{[2
]}

Khalifeh, J. M. ^{[1
]}

机构：

[1] Univ Jordan, Dept Phys, Amman 11942, Jordan

[2] Mutah Univ, Dept Phys, Al Karak, Jordan

来源：

JORDAN JOURNAL OF PHYSICS | 2020年 / 13卷 / 01期

关键词：

Lagrangian mechanics; Electromagnetic field; Hamilton-Jacobi; Staeckel boundary conditions; Newtonian mechanics; SUPERINTEGRABLE SYSTEMS; STACKEL; CLASSIFICATION;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This manuscript aims to resolve the Hamilton-Jacobi equations in an electromagnetic field by two methods. The first uses the separation of variables technique with Staeckel boundary conditions, whereas the second uses the Newtonian formalism to solve the same example. Our results demonstrate that the Hamilton-Jacobi variables can be completely detached by using separation of variables technique with Staeckel boundary conditions that correspond to other results using Newtonian formalism.

引用

页码：59 / 65

页数：7

共 27 条

[1]

[Anonymous], THEORETICAL MATH PHY

[2] Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stackel Transform [J].