The Meissner-effect interaction of a small permanent magnet with a superconducting hollow cylinder has been investigated by solving the Laplace equation numerically using a finite-difference method. The calculations reveal the existence of stable equilibrium configurations for a range of shapes and sizes of the cylinder. The computed magnitude of the Hooke’s law force constant is close to those measured for small magnets levitated above superconducting disks.
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Peter J. Wojtowicz (1990) studied this question.
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