q-deformed Quantum Mechanics with q-translation Symmetry and Supersymmetric q-deformed Quantum Mechanics

초록

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.

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