标题： 非交换相空间中的动力学 显示英文标题

标题： Dynamics in a noncommutative phase space

摘要： 动力学已被推广到非交换相空间。非交换相空间被视为在量子群 $GL_{q,p}(2)$下不变。 在相空间上制定了 $q$-变形微分演算，并利用这一演算，构建了动力学的哈密顿形式和拉格朗日形式。 与早期的 $q$动力学形式相比，我们的形式化方法保留了常规对称性（如旋转或洛伦兹不变性）的优势。 显示英文摘要

摘要： Dynamics has been generalized to a noncommutative phase space. The noncommuting phase space is taken to be invariant under the quantum group $GL_{q,p}(2)$. The $q$-deformed differential calculus on the phase space is formulated and using this, both the Hamiltonian and Lagrangian forms of dynamics have been constructed. In contrast to earlier forms of $q$-dynamics, our formalism has the advantage of preserving the conventional symmetries such as rotational or Lorentz invariance.