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Nov 25, 2016 at 11:50 comment added FraSchelle One more time, be careful with your nomenclature. A superfluid is a quantum condensate of neutral bosonic particles (as He-4), a BCS superfluid is a quantum condensate of neutral fermionic particles (as He-3) (in a sense, they are not spin-neutral, but remains charge-neutral), a BCS superconductor (or a superconductor in short) is a quantum condensate of charged fermionic particles (as electrons). This nomenclature is not accepted by everyone, so I suggest you to define what you mean each time you use them and want to compare these different mechanism.
Nov 25, 2016 at 11:46 comment added FraSchelle Goldstone and Higgs modes can be expanded in normal modes, and thus will get the usual form of creation/destruction operators. Classically, the Anderson-Higgs mode follows a massive wave equation, as can be seen from Ginzburg-Landau formalism, which you can quantise if you want. They representation from the quasi-particle is harder to give, since they are clearly dressed states. A Higgs mode is intrinsically a bosons mode dressed by the fermionic quasi-particles. You get it either by integrating out the fermionic modes in a path-integral approach in the mean-field approximation.
Nov 24, 2016 at 22:36 history tweeted twitter.com/StackPhysics/status/801917511541387264
Nov 24, 2016 at 20:55 vote accept Zhiyuan Wang
Nov 24, 2016 at 18:09 answer added Alexey Sokolik timeline score: 3
Nov 24, 2016 at 18:05 answer added Mark Mitchison timeline score: 7
S Nov 24, 2016 at 17:51 history suggested Spoilt Milk CC BY-SA 3.0
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Nov 24, 2016 at 17:46 review Suggested edits
S Nov 24, 2016 at 17:51
Nov 24, 2016 at 17:26 comment added Zhiyuan Wang @MarkMitchison Yes. Anyway I need the operator repesentation of the Goldstone and Higgs.
Nov 24, 2016 at 17:23 history edited Zhiyuan Wang CC BY-SA 3.0
added 48 characters in body
Nov 24, 2016 at 17:05 comment added Mark Mitchison What are you calling $a_k$ and $a_k^\dagger$ here, the bare fermion creation and annihilation operators? Please edit this information into your question to make it intelligible.
Nov 24, 2016 at 16:54 history asked Zhiyuan Wang CC BY-SA 3.0