标题： 扭曲的加速扩展牛顿-赫克空间时空和保守力项 显示英文标题

标题： Twisted acceleration-enlarged Newton-Hooke space-times and conservative force terms

摘要： 对定义在扭曲变形的加速扩展牛顿-霍克时空上的两个经典系统进行了分析——非相对论粒子在恒定场力$\vec{F}$中运动以及谐振子模型。 证明了只有在规范扭曲变形的情况下，由时空非对易性产生的力项对于这两个模型仍然是保守的。 显示英文摘要

摘要： There are analyzed two classical systems defined on twist-deformed acceleration-enlarged Newton-Hooke space-times - nonrelativistic particle moving in constant field force $\vec{F}$ and harmonic oscillator model. It is demonstrated that only in the case of canonical twist deformation the force terms generated by space-time noncommutativity remain conservative for both models.