Integrable systems (02.30.Ik), Ordinary differential equations (02.30.Hq), Partial differential equations (02.30.Jr), Inverse problems (02.30.Zz), Solutions of wave equations: bound states (03.65.Ge), and solitons (05.45.Yv): integrable and near-integrable statistical physical models, condensed matter models and nonlinear partial differential equations in general physics: the exact solutions, solitons, instantons, vortices, asymptotic solutions, adiabatic dynamics, stochastic dynamics, nonlinear dynamics, nonequilibrium dynamics, long-time behavior, etc. 


2. Matter waves, quantum condensation phenomena and superfluidity (PACS number 03.): 

Matter waves (03.75.-b), quantum condensation phenomena (03.75.Fi), Bose-Einstein condensates (03.75), atom and neutron optics (03.75.Be), atom and neutron interferometry (03.75.Dg), entanglement and decoherence in Bose-Einstein condensates (03.75.Gg), static properties of condensates; thermodynamical, statistical, and structural properties (03.75.Hh), dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow (03.75.Kk), tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations (03.75.Lm), multicomponent condensates; spinor condensates (03.75.Mn), other Bose-Einstein condensation phenomena (03.75.Nt), atom lasers (03.75.Pp), degenerate Fermi gases (03.75.Ss), photon interactions with atoms (32.80.-t), optical cooling of atoms; trapping (32.80.Pj), coherent control of atomic interactions with photons (32.80.Qk), atom interferometry techniques (39.20.+qn), quantum fluids and solid (67.), liquid and solid helium (67.), boson degeneracy and superfluidity of 4^He (67.20+k), mixed systems, liquid 3^He and 4^He mixtures (67.60.-g), etc. 


3. Electronic structure and electrical properties of thin films and low dimensional structure (PACS number 73.):

Weak or Anderson localization (73.20.Fz), delocalization processes (73.20.Jc), collective excitations (73.20.Mf), electron states and collective excitations in multilayers, quantum wells, mesoscopic and nanoscale systems (73.21.-b), electronic transport in mesoscopic systems (73.23.-b), electronic transport in mesoscopic or nanoscale materials and structures (73.63.-b), etc. 


4. Theory of magnetic properties and materials (PACS number 75.):

General theory and models of magnetic ordering (75.10.-b), classical spin models (75.10.Hk), quantized spin models (75.10.Jm), band and itinerant models (75.10.Lp), intrinsic properties of magnetically ordered materials (75.30.-m), spin waves (75.30.Ds), exchange and superexchange interactions (75.30.Et), spin density waves (75.30.Fv), magnetic anisotropy (75.30.Gw), magnetic impurity interactions (75.30.Hx), magnetic phase boundaries (75.30.Kz), valence fluctuation and Kondo lattice and heavy fermion phenomena (75.30.Mb), colossal magnetoresistance (75.30.Vn), macroscopic quantum phenomena in magnetic systems (75.45.+j), domain effects (75.60.-d), magnetic properties of thin films (75.70.-i), magnetic properties of nanostructures (75.75.+a), spin polarized transport (72.25.-b), etc. 


5. Quantum phase transition theory:

Quantum phase transition theory and its applications in the Nanomaterials, the Josephson-junction arrays, the quantum Hall effect systems, the high-T_c superconductor, the strongly corrected electron systems, the conductor near its metal-insulator transition, the two-dimensional films, the magnetic systems, etc.

6. Quantum many-body theory: 

Quantum many-body theory and its applications in the nanomaterials, the quantum Hall effect systems, the high-T_c superconductor, the strongly corrected electron systems, the disorder systems, the quantum magnetism, the mesoscopic systems, etc.