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10 Oct 2012: He con-tributed to many areas of mathematics. example is the kinetic energy op-erator T̂ =. Pn. p̂2n. 2m , where p̂n isthe momentum operator acting onthe n-th particle. ... have described a physical systemin terms of a theory involving a continuum of

10 Nov 2013: ô = λ=0 |λ〉oλ〈λ|, oλ = 〈λ|ô|λ〉e.g. k.e., |λ〉 |p〉 and op = p2/2m. ... Lecture X: Many-body (Coherent State) Path Integral. Having obtained a complete coherent state basis for the creation and annihilation op-erators, we could

9 Oct 2009: z. From this. definition, confirm that The choice z = x iy (as op-posed to z = x iy) is madeon purely aesthetic grounds – seethe wavefunction below.

18 Nov 2009: Secondly, to ensure that the field op-erator φ̂(x) obeys the Klein-Gordon equation,10 we require φ̂(k) 2πδ(k2 m2).Taking these conditions together, we require.

8 Oct 2009: Û †ÂÛ = R[Â]. Such unitary transformations are said to be symmetries of a general op-erator Ô(p̂, r̂) if. ... i! θên L. ]. As we have seen, time translations are generated by the time evolution op-erator, Û (t) = exp[ i!Ĥt].

8 Oct 2009: Writing the plane wavefunction φ(r, t) = Aei(prEt)/!, where A is a constant, we can recover theenergy-momentum invariant by adding a constant mass term to the wave

2 Apr 2015: Default value is 0.01eV. 5.4.3 real(kind=dp) :: scissor op. Value of the scissor operator.