In topological superconductor weak links a special type of Andreev bound state (ABS), a Majorana bound state, can exist which is pinned to zero energy at a phase bias of π. This is in striking contrast to conventional ABS which are always gapped. These Majorana bound state are topologically protected: even large perturbations or disorder cannot detach it from zero energy. They are expected to exist in superconducting weak links made of materials with strong spin-orbit interaction, and in most cases, upon application of a moderate magnetic field. The detection of Majorana bound states has been ardently pursued by experimentalists since their theoretical prediction. But experimental results, mainly dc transport measurements, are not entirely conclusive. What is necessary to clearly prove that Majorana bound states exist, as with Andreev bound states, is a spectroscopic signature, and the expected dispersion of the Majorana “transition” has already been predicted theoretically [Virtanen et al].