Tuesday, February 5, 2013

a particle's self-energy \Sigma represents the contribution to the particle's energy, or effective mass, due to interactions between the particle and the system it is part of.

http://books.google.com/books?id=cNGY8rsLwngC&pg=PT63&lpg=PT63&dq=%22self-energy+of+a+given+charge+distribution+is+the+energy+required+to+assemble+the+distribution+by+bringing+in+the+constituent+charges+from+infinity,+where+the+electric+force+goes+to+zero%22&source=bl&ots=ug8J8sR006&sig=ZS8UbzdkvcruTGTYQmYpNVCwKys&hl=en&sa=X&ei=hIgRUcGjDLSk2gWEvYGoDQ&ved=0CEQQ6AEwBA


In theoretical physics and quantum field theory a particle's self-energy \Sigma represents the contribution to the particle's energy, or effective mass, due to interactions between the particle and the system it is part of. For example, in electrostatics the self-energy of a given charge distribution is the energy required to assemble the distribution by bringing in the constituent charges from infinity, where the electric force goes to zero. In a condensed matter context relevant to electrons moving in a material, the self-energy represents the potential felt by the electron due to the surrounding medium's interactions with it: for example, the fact that electrons repel each other means that a moving electron polarizes (causes to displace) the electrons in its vicinity and this in turn changes the potential the moving electron feels; these and other effects are included in the self-energy.

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