MadSci Network: Physics |
I had several occasions to meet in the litterature the following expressions:"first ,second and nth quantisation " so as to make us thinking that exists many quantum theories which differ from each other by the level of quantisation. For example in the free electronic book of philip Gibbs available on the world wide web at http://www.weburbia.com/press/esst.htm it's stressed the following: "Second Quantisation: There is a twist in the tale of quantisation which was introduced by Pascual Jordan in 1925. A single particle which is quantised becomes a field, i.e. values assigned to each point in space like the classical electromagnetic fields. A field theory can also be derived from a principle of least action and can therefore also be quantised. The field theory of the single particle Schr*dinger equation can be quantised in this way as if it were a classical field. The result of this second quantisation works out to be the same as the quantum theory of a many-particle system. The Schr*dinger equation is linear but quantisation can be applied to field theories with non-linear terms. The interaction between the electromagnetic field and Dirac's equation for an electron is a non-linear relativistic generalisation of the Schr*dinger equation. This is still called second quantisation but > >not everyone likes the term used in this way. Many physicists prefer > >to think that the first quantisation was a mistake and quantum field > >theory alone is correct." and so in the other chapters. > >I would be very grateful to you if send me an explanation. > >Thanking you in advance > >sincerly
Re: VRD: first ,second and nth quantisation
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