Homework 1

[Note: In part (d), it will suffice to show that the coherent states are normalised but not orthogonal.]

[Note: In 1(g) please use the UNperturbed Hamiltonian. Also, you shouldn't actually have to use any properties of the coherent state...]

[Note: The curly brackets are called anticommutators; in general {A,B}=AB+BA (rather than the usual commutators [A,B]=AB-BA). Also, a and a^dagger satisfy the usual square-bracket commutation relation: [a, a^dagger]=1 .]

[Note: lambda^mu IS a functional of the fields phi.]