Variational-Integral Perturbation Corrections for Hydrogen Atoms in Magnetic Fields

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（1）
• 页码范围: 56-60
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/1/013101

摘要

The Zeeman effect plays a fundamental role in many aspects including astrophysics,solid state and plasma physics.[1-4] Although a lot of research has been carried out in this field,[5-15] the problems are still waiting to be solved.The nonseparability of the Schrodinger equation for an electron in a combined Coulomb and magnetic field makes the theoretical description of the problem quite difficult.The hydrogen atom in a magnetic field has been tackled by many researchers with the aid of various approaches ranging from the perturbation theory for the weak-field's regime[16] to the adiabatic approximation for the opposite limit of very strong magnetic fields.[17] Considerable techniques for large order calculation have recently been reported,[18-23] the firstorder perturbation theory,[24,25] combining variational calculation with Laguerre Polynomials in cylindrical coordinates[26] and the Zeeman Hamiltonian plus series method.[27] Jason[28] used a simple basis for hydrogen to obtain the evolution of the energy spectrum of atoms in strong and uniform magnetic fields.