Recoil effects in a quantum theory of the Skyrmion

The purpose of this paper is to illustrate how the Kerman-Klein method of quantization, introduced originally for the restoration of broken symmetries in the non-relativistic many-body problem and later utilized by Goldstone and Jackiw for a one-dimensional soliton, can be applied to the study of Skyrmion physics. In this method, one replaces the piecemeal quantization of collective coordinates by a formal canonical quantization of a full classical Hamiltonian, collectivity arising from the structure of the associated Hilbert space. In this first account, the restoration of translational invariance is studied using a quantized form of the original Skyrme Hamiltonian. (author)