Superintegrability with third-order integrals in quantum and classical mechanics
نویسندگان
چکیده
We consider here the coexistence of firstand third-order integrals of motion in two dimensional classical and quantum mechanics. We find explicitly all potentials that admit such integrals, and all their integrals. Quantum superintegrable systems are found that have no classical analog, i.e. the potentials are proportional to h̄, so their classical limit is free motion.
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تاریخ انتشار 2002