Positive representations of general commutation relations allowing Wick ordering

P. E. T. Jorgensen, L. M. Schmitt, R. F. Werner

We consider the problem of representing in Hilbert space commutation relations of the form $$a_i{a}_j^{\ast }={\delta }_{ij}1+\sum _{k\ell }{T}_{ij}^{k\ell }{a}_{\ell }^{\ast }{a}_k,$$ where the $T…