On a two-patricle bound system on the half-line Mean ergodic theorems for Lorentz operators Mathematical counterpart of the Heisenberg uncertainty principle A regular analogue of the Smilansky model: spectral properties Consistent descriptions of quantum fields Kahler quantization and entanglement Bogolyubov inequality for the ground state and its application to interacting rotor systems A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra