What Is the Self-Energy of an Electron?

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SUMMARY

The self-energy of an electron is defined as the energy associated with a point charge when isolated from other charges, as described in Ohanian's textbook. While the charge of an electron is quantified as e = 1.6 x 10^-19 C, the self-energy is not zero but rather infinite due to the nature of quantum mechanics and self-inductance. This concept is crucial for understanding electron behavior in atomic and molecular systems and was first introduced by Arnold Sommerfeld in 1923 to address the anomalous Zeeman effect.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the concept of point charges
  • Knowledge of self-inductance in physics
  • Basic grasp of atomic structure and electron behavior
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  • Research the concept of self-energy in quantum field theory
  • Explore the anomalous Zeeman effect and its implications
  • Study the historical context of Arnold Sommerfeld's contributions to quantum mechanics
  • Learn about the implications of infinite self-energy in particle physics
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Physicists, students of quantum mechanics, and anyone interested in the fundamental properties of electrons and their interactions within atomic structures.

burak_ilhan
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What is so called SELF ENERGY? I know the explanation that it is the energy that a point charge has when it is by itself,at a large distance from other charges. In textbook (ohanian) says that it takes work to assemble the point charge out of infinitesimal pieces of charge.The energy needed to assemble the point charge is called the self-energy of the point charge.I know that this explanation is clear enough.But as i know e=1.6*10^-19 C , the charge of electron or proton is the smallest charge, and all other charges are INTEGER*e.So I thought that I can assume that self energy of an electron is zero.But I learned that it turns out to be Infinite...
 
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Self Energy is a concept in quantum mechanics that describes the energy of a system due to its interaction with itself. It is a form of self-inductance and is especially important in understanding the behavior of electrons in atoms and molecules.

The self-energy of an electron was first introduced in 1923 by Arnold Sommerfeld to solve the problem of the anomalous Zeeman effect.
 

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