An Open Scattering Model in Polymerized Quantum Mechanics

We derive a quantum master equation in the context of polymerized open mechanical system for scattering Brownian particle an ideal gas environment. The model is formulated top-down approach by choosing Hamiltonian with coupling between and environment that generally associated spatial decoherence. extend existing work on such models using non-standard representation canonical commutation relations, inspired quantization procedure applied loop gravity, which yields position operators are replaced holonomies. derivation opens up possibility to investigate detail whether assumptions, usually used order obtain tractable form dissipator, hold also case or they need be dropped modified. Furthermore, we discuss some physical properties effective equations expectation values fundamental compare our results already collisional