And we should recall the Klein-Gordon equation describes spin-0 bosons! Well, this should not surprise us, since the Schrodinger equation is the nonrelativistic limit to the Klein-Gordon equation. Joy Christian's "Exactly Soluble Sector of Quantum Gravity".the Newton Cartan theory of gravity, we also get spin-0 boson! For this result (specific to quantizing Newtonian gravity), see: See Brian Hatfield's Quantum Field Theory of Point Particles and Strings, specifically chapter 2 - on "Second Quantization".īut wait, there's more! If we consider other non-relativistic fields and attempt quantizing, e.g. If we pretend the wave function is a classical field (which happens all the time during the "second quantization" procedure), then it turns out to describe a spin-0 field. The plain, old Schrodinger's equation describes a non-relativistic spin-0 field. The "vanilla" Schrodinger's equation (from non-relativistic QM) does not describe a spin-1/2 particle. Mondragon, "No spin-statistics connection in nonrelativistic quantum mechanics". Wightman, "The spin-statistics connection: Some pedagogical remarks in response to Neuenschwander's question" Eprint, 7 pages Referencesįor more thorough reviews on this matter, I can heartily refer the reader to: ![]() ![]() ![]() $$i\hbar\gamma^$ is the 2-by-2 identity matrix. Dirca's equation has is the following form:
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |