The properties of the ground state and the spectrum of elementary excitations of an ultracold rarefied three-dimensional Bose gas of particles with arbitrary nonzero spin are investigated. It is assumed that the bare interaction consists of two parts: a short-range isotropic interaction that is independent of spin orientation and a long-range anisotropic spin-spin interaction of dipole-dipole type. The Gross-Pitaevskii equation is obtained. It is shown using this equation that the renormalized interaction, determined by the contribution of high momenta, plays an important role in the formation of the spin structure of the ground state and the density dependence of the chemical potential. It is established that there exists a range of parameters of the bare-interaction pair potential where the ground state is ferromagnetic. Criteria for the stability of this state are found. An equation describing the dynamics of the spin density is obtained. The spectrum of elementary excitations is determined.

研究了具有任意非零自旋的超冷稀化三维玻色气体的基态性质和基本激发光谱。假定裸相互作用由两部分组成：独立于自旋取向的短程各向同性相互作用和偶极-偶极型的长程各向异性自旋-自旋相互作用。获得Gross-Pitaevskii方程。使用该方程式表明，由高动量的贡献确定的重新归一化相互作用在基态自旋结构的形成和化学势的密度依赖性中起着重要作用。可以确定的是，在基态为铁磁性的情况下，存在裸交互对电势的一系列参数。找到了这种状态的稳定性的标准。获得描述自旋密度动态的方程。确定基本激发的光谱。