On the theory of a Bose gas in a nonuniform field

A new method of description of Bose systems in external fields is proposed. Equations derived on the basis of this method are the Bose analog of the Bogolyubov–De Gennes equations for Fermi systems with pairing. An exact solution of the equations is obtained for the case when a Bose system is in a field varying linearly with the coordinate. The possibility of propagation of previously unknown surface oscillations in a nonuniform field is predicted. The effect of the nonuniform field on the long-range order in two- and three-dimensional Bose systems is investigated.

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