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Chapter 16 Problem sets Before starting these problems, you ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/ps1.pdf9 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. -
Chapter 3 Operator methods inquantum mechanics While the wave ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_operator.pdf8 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]. -
Chapter 1 Wave mechanics and theSchrödinger equation Although this…
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_foundations.pdf8 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 -
Chapter 15 Relativistic QuantumMechanics The aim of this chapter ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_relqu.pdf18 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.
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