By Richard D. Mattuck
Incredible advent for non-specialists to special sector of recent physics. significant conceptsвЂ”Feynman diagrams, quasi debris, Fermi platforms at finite temperature, superconductivity, vacuum amplitude, extra. additionally DysonвЂ™s equation, ladder approximation, a lot else. workouts. moment (1974) version. ''...a nice satisfaction to read.''вЂ”Physics this present day.
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Additional info for A Guide to Feynman Diagrams in the Many-Body Problem
1). 2) (̂n × H 2 ) ⋅ (̂t × n̂ ) − (̂n × H 1 ) ⋅ (̂t × n̂ ) = Js ⋅ (̂t × n̂ ). 4) which indicates that the tangential component of the magnetic field intensity is discontinuous across an interface carrying a free surface electric current. 5) showing a discontinuity in the tangential component of the electric field intensity across an interface carrying a free surface magnetic current. Since the magnetic current does not exist in reality, the tangential component of the electric field intensity is always continuous across any interfaces.
8) are not independent. When the first two are satisfied, the latter two are usually satisfied as well. Also note that unless one of the media is a perfect conductor, the electromagnetic fields usually cannot induce free surface charges or currents at the interface. Hence, the tangential component of the magnetic field intensity and the normal component of the electric flux density are continuous across an interface between two different media. However, when one of the media is a perfect conductor, the situation is different.
25), then manipulate the algebraic expression using any of the valid algebraic identities, and finally convert the symbolic vector back to the divergence, curl, or gradient. For example, consider ̃ × (∇ ̃ × ???? ). Since ???? × (???? × ????) = (???? ⋅ ????)???? − (???? ⋅ ????)????, we have ∇ ̃ ⋅ ???? )∇ ̃ − (∇ ̃ ⋅ ∇)???? ̃ = ∇( ̃ ∇ ̃ ⋅ ????) − ∇ ̃ ⋅ (∇???? ̃ ). 17), we obtain a very useful identity ∇ × (∇ × ???? ) = ∇(∇ ⋅ ???? ) − ∇2 ???? . 28) ̃ a is the symbolic where a and b represent two functions that can either be scalar or vector, ∇ ̃ vector applying only to function a, and ∇b applies only to function b.
A Guide to Feynman Diagrams in the Many-Body Problem by Richard D. Mattuck