We consider the nanoscale electronic phase separation in a wide class of different
materials, mostly in strongly correlated electron systems. The phase separation turns out to …

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of
correct self-consistent description of arbitrary systems with Bose-Einstein condensate are …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

Experiments with trapped atomic gases have opened novel possibilities for studying the
evolution of nonequilibrium finite quantum systems, which revived the necessity of …

The review is devoted to the elucidation of the basic problems arising in the theoretical
investigation of systems with Bose-Einstein condensate. Understanding these challenging …

The review considers the peculiarities of symmetry breaking and symmetry transformations
and the related physical effects in finite quantum systems. Some types of symmetry in finite …

A survey is given of the present state of the art in studying Bose‐Einstein condensation of
dilute atomic gases. The bulk of attention is focused on the principal theoretical problems …

Nanothermodynamics extends standard thermodynamics to facilitate finite-size effects on
the scale of nanometers. A key ingredient is Hill's subdivision potential that accommodates …

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