Journal of South China Normal University

POPULAR FORMULA OF PERTURBATION MATRIX ELEMENTS OF THE HYDROGEN ATOM IN THE UNIFORM MAGNETIC FIELD AND THE REMOVAL OF DEGENERACY FOR HIGHER ENERGY LEVELS

Zheng Li-xian

Published Jan 1, 2004• 0 citations

Abstract

The popular formula of perturbation matrix elements of the hydrogen atom in the uniform magnetic field is calculated, and the complete removal of the degeneracy of the higher energy levels( n = 4,5,6) is discussed.

Related papers

The Removal of Degeneracy of n=4 Energy Levels of Three Dimensional Harmonic Oscillatorin the Uniform Magnetic Field

Zhao Su-qin

The B2 proportional term in the Hamiltonian of three dimensional harmonic oscillator in the uniform magnetic field is considered,and calculated the perturbaion matrix elements.The complete removal of degeneracy of n=5 energy levels is discussed.

Journal of Qinghai Junior Teachers' CollegeJan 1, 20060 citations

The Fine Structure of a Hydrogen Atom Energy Levels in a Uniform High Magnetic Field

Xi Wei

There are many interactions in a uniform high magnetic field for a hydrogen atom. When the B~2 proportional term in the Hamiltonian of the hydrogen atom is considered and according to the perturbation theory in degenerate state and properties of spherical harmonics function and angular momentum, a calculated method of energy level fine structure for hydrogen atom in a high magnetic field is derived. In accordance with this method, energy levels of the hydrogen atom in n=2 state is calculated.

Journal of Guangdong University of Petrochemical TechnologyJan 1, 20050 citations

Calculation of the Energy Levels for Hydrogen Atom in a Magnetic Field of Intermediate-Strength

Huang Shi-zhong

With the help of angular momentum coupling theory,the general expression of diagonal and non-diagonal matrix elements of hydrogen atom Hamilton in a magnetic field of intermediate-strength is further worked out in coupling representation,a general theory that describes the interaction between hydrogen atom and uniformity magnetic field of intermediate-strength is established,and the energy level structure of n=5 for hydrogen atom is calculated.

Journal of Anhui Normal UniversityJan 1, 20110 citations

The Discussion of the Second Order Perturbation Formula When Degeneracy is not Removed Completely

Weiyi Ren

To study the problem conveniently,the article classifies the not perturbed energy level into degenerate and non-degenerate.Then it avoids the trouble of explaining ｜k and gets the same revised formula of the second order as that of document[1],when approximation of the first order is not removed completely.

Journal of Anqing Teachers CollegeJan 1, 20050 citations

UNIVERSAL FORMULA FOR CALCULATING THE MATRIX ELEMENT OF RADIAL OPERATOR OF RELATIVISTIC HYDROGEN ATOM

Hou Chun-Feng, Yongyuan Jiang, SUN XIU-DONG +2 more

The universal formula for calculating the matrix element of radial operator of relativistic hydrogen atom is established.

Acta Physica SinicaJan 1, 19990 citations

The Change of Energy Levels and Degeneracy of Three Dimensional Harmonic Oscillator in the Uniform Magnetic Field

Zhao Su-qin

The formula of energy levels of three dimensional harmonic oscillator in the uniform magnetic field is derived.The lowest energy level and degeneracy is discussed.

Journal of Qinghai Normal UniversityJan 1, 20060 citations