Pryce's mass-center operators and the anomalous velocity of a spinning electron

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2018,（8）
• 页码范围: 1-7
• 页数: 7页
• 语种: 英文

摘要

In the present work,we develop a method to derive the anomalous velocity of a spinning electron.From Dirac equation,the relationships among the expectation values of the Pryce's mass-center operator,the position operator,the spin operator and the canonical momentum operator are investigated.By requiring that the center of mass for a classical spinning electron is related to the expectation value of Pryce's mass-center operator,one can obtain a classical expression for the position of the electron.With the classical equations of motion,the anomalous velocity of a spinning electron can be easily obtained.It is shown that two factors contribute to the anomalous velocity:one is dependent on the selection of Pryce's mass-center operators and the other is a type-independent velocity expressed by the rotational velocity and the Lorentz force.