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Natural Science Forum / Physics / Particle Physics / April 2005About the physical meaning of second qautization
Unfornunately the physical meaning of the second quatization in the literature stays a little obscured (at least) for me. As far as I understand (by analogy with quantum mechanics - when one quantizes the classical variables by replacing them with operators on e receives a discrete spectrum of them) - so I think that when quantizing a field one should receive a discrete spectrum of functions (each coresponding to N particles). 1.Does this mean there are simply no functions in between N and N-1 functions? Then these functions form the Fock space - which is Hilbert vector space. This means that there are linear combinations of N-function and N-1 -function etc. 2.What is the physical mening of this? What is the meaning of having N-particles with probability x and N-1 particles with probability 1-x (adding to 1)? As far as I know the energy is always conserved - than there must always be a 1 probability for a fixed number of particles (hwN=E). Dear Kevin, >2.What is the physical mening of this? What is the meaning of having >N-particles with probability x and N-1 particles with probability 1-x >(adding to 1)? As far as I know the energy is always conserved - than >there must always be a 1 probability for a fixed number of particles >(hwN=E). This happens in high energy scattering experiments. Probability distributions over possible final states includes final states with different numbers of particles. This is explained by considering these final states as being superpositions of states with different numbers of particles. It is true that the total energy of the resulting particles must be equal to the energy of colliding particles. Als the energy of such a particle is given by sqrt(m^2+|vec p|^2) it takes values in a continuum and there is the possibility that (say) two momenta yield the same total energy as (say) three momenta. Best wishes, Chris > Unfornunately the physical meaning of the second quatization in the > literature stays a little obscured (at least) for me. Hi, I undertand "second quantisation" as introduced my Sommerfield's modification of the Bohr atom by introducing elliptical orbits. This allows another degree of freedom and so a second quantum number. With shroedinger and his wave mechanics we have three dimensions and that introduces additional degrees of freedom and thus more quantum numbers. In an atom there are s,p,d ... f.... orbitals these need several quantum numbers to give their energy. No thats first quantization. Second quantization is actually only first quantization in the "Besetzungszahldarstellung" (I think its occupation number picture in English). René |
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