标题： 多玻色子系统的变形海森堡代数理论 显示英文标题

标题： Theory of a many-boson system with deformed Heisenberg algebra

摘要： 我们提出考虑液体理论中的非线性涨落，$^{4}$通过改变广义坐标和动量之间的对易关系。 广义坐标是玻色粒子密度涨落的系数。 变形参数考虑了三粒子和四粒子关联对系统行为的影响。 该参数从基本激发谱和结构因子的实验值中得出，并外推到$T=0$ K。进行了基态能量和玻色凝聚分数的数值估计。 恢复了基本激发谱和氦原子之间的相互作用势。 显示英文摘要

摘要： We propose to consider nonlinear fluctuations in the theory of liquid $^{4}$He deforming the commutation relations between the generalized coordinates and momenta. Generalized coordinates are coefficients of density fluctuations of Bose particles. The deformation parameter takes into account the effects of three- and four-particle correlations in the behavior of a system. This parameter is defined from the experimental values of the elementary excitation spectrum and the structure factor extrapolated to $T=0$ K. The numerical estimation of the ground state energy and the Bose condensate fraction is made. The elementary excitation spectrum and the potential of interaction between the helium atoms are recovered.