On a two-patricle bound system on the half-lineMean ergodic theorems for Lorentz operatorsMathematical counterpart of the Heisenberg uncertainty principleA regular analogue of the Smilansky model: spectral propertiesConsistent descriptions of quantum fieldsKahler quantization and entanglementBogolyubov inequality for the ground state and its application to interacting rotor systemsA Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra