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Cold atoms in optical lattices are described in {\it real space} bymulti-orbital mean-field Ans\"atze. In this work we consider four typicalsystems: (i) spinless identical bosons, (ii) spinor identical bosons (iii),Bose-Bose mixtures, and (iv) Bose-Fermi mixtures and derive in each case thecorresponding multi-orbital mean-field energy-functional and working equations.The notions of {\it dressed} Wannier functions and Wannier spinors areintroduced and the equations defining them are presented and discussed. Thedressed Wannier functions are the set of orthogonal, translationally-equivalentorbitals which minimizes the energy of the Hamiltonian including boson-boson(particle-particle) interactions. Illustrative examples of dressed Wannierfunctions are provided for spinless bosonic atoms and mixtures inone-dimensional optical lattices.Comment: 27 pages, 4 figures; [version minus figures published

Multiorbital mean-field approach for bosons, spinor bosons, and Bose-Bose and Bose-Fermi mixtures in real-space optical lattices