In this work, we discuss the quantum mechanics of many-body systems i.e.
hybrid microgel consisting of negatively charged anionic microgels possessing
thick sheath of water molecules solvating its protruding anionic moieties and
nanoparticle captivated with in it. Thermodynamic feasibility of synthesis of
particular nanoparticle with in the microgel is dependent upon the magnitude of
interaction between nanoparticle, water molecules and microgel relative to sum
of magnitude of self-interaction between counterions and interaction between
counterions and microgel. Nanoparticles synthesized with in the microgels have
thick electronic cloud that oscillates under the influence of net interaction
potential of charged anionic moieties and solvent water molecules. Hamiltonian
describing energy of oscillating electronic cloud wrapped around nanoparticle
is mathematically derived to be equal to product of integral of electron
density and its position vector overall space multiplied with net electric
force acting on the oscillating electronic cloud of nanoparticle.Comment: 11 pages, 2 figures,mathematical modelling of use of microgel as
nano-reacto
