Half-quantum vortices in strongly correlated Bose liquids. Abstract We discuss the structure of a vortex in a superfluid Bose liquid with a suppressed Bose-Einstein condensate and an intensive pair correlated condensate. The vortex represents the pair of half-quantum vortices topologically confined by the soliton. In strongly interacting and strongly correlated Bose liquid – su-perfluid 4 He – ...

We study the kinetics of 2D Bose gas cooling provided Bose particles interact with 3D phonons. At low temperatures phonon emission is prohibited by the energy and the momentum conservation. We show that both particle-particle scattering and impurity scattering assist the Bose gas cooling. The temporal relaxation of temperature follows the law T ∼ 1/ √ t above the Berezinski-Kosterlitz-Thouless ...

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We consider systems of spatial random permutations, where permutations are weighed according to the point locations. Infinite cycles are present at high densities. The critical density is given by an exact expression. We discuss the relation between the model of spatial permutations and the ideal and interacting quantum Bose gas.

In the theoretical description of recent experiments with dilute Bose gases connned in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clariied. A summary of this work is presented here.

In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. A summary of this work is presented here.

Theoretical analysis of recently observed excess heat and anomalous vacuum effects for hydrogen-oxygen-metal systems is described based on theory of Bose-Einstein condensation nuclear fusion (BECNF). The anomalous excess heat effect is explained by oxygen fusion via BECNF process producing sulfur. The observed vacuum effect is explained by BEC process.