Advanced Quantum Mechanics Schwabl · Problem 3.3

Correlation Functions, Scattering, and Response

Physics — Quantum Mechanics · bogoliubov-transformation-inverse

Problem

Confirm the inverse (3.2.15) of the Bogoliubov transformation: αk=ukak−vka−k†,\alpha_\mathbf{k} = u_\mathbf{k}a_\mathbf{k} - v_\mathbf{k}a^\dagger_{-\mathbf{k}}, αk†=ukak†−vka−k.\alpha^\dagger_\mathbf{k} = u_\mathbf{k}a^\dagger_\mathbf{k} - v_\mathbf{k}a_{-\mathbf{k}}.

Browse the problem library