In this paper the q-deformed Schrodinger equation is derived from the q-translation symmetry in space. The correct unitary q-translation operator is constructed for q-deformed quantum mechanics with q-translation symmetry. The supersymmetric q-deformed quantum mechanics with q-translation symmetry is also discussed.

中文翻译：

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具有 q 平移对称性和超对称 q 变形量子力学的 q 变形量子力学

在本文中，q-变形薛定谔方程是从空间中的q-平移对称性导出的。正确的酉 q 平移算子是为具有 q 平移对称性的 q 变形量子力学构造的。还讨论了具有q平移对称性的超对称q变形量子力学。