【摘 要】
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Non-commutative quantum mechanics is first quantized.The non- commutative parameter can be assumed either fundamental or derived (induced by a Drinfeld twist).The two frameworks are equivalent for the
【机 构】
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Federal University of ABC, Brazil
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
Non-commutative quantum mechanics is first quantized.The non- commutative parameter can be assumed either fundamental or derived (induced by a Drinfeld twist).The two frameworks are equivalent for the single-particle sector,producing the same single-particle spectrum,but differ in multi-particle sector.Quantum mechanics based on fundamental non-commutative parameter is additive while NC quantum mechanics derived from a Drinfeld twist is non-additive.The non-additive terms in the multi-particle Hamiltonian are determined and made compatible by the Hopf algebra structures.An abelian twist induces a constant non- commutativity while the Jordanian twist induces a Snyder type non-commutativity.
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