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 positi...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.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 11405136, and 11747311)the Fundamental Research Funds for the Central Universities (Grant No. 2682016CX059)
文摘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.
