Abstract
The vacuum structure for the massive charged scalar field in the region of two parallel, infinitely long and thin solenoids confining the fluxesn 1 andn 2 is studied. By using the Green function method, it is found that the vacuum expectation value of the system's energy has a finite mutual interaction term depending on the distance a between the solenoids, which implies an attractive force per unit length given by F n1n2 =−(ℏc/π2)(n 1 n 2)2/a 3.
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Duru, I.H. Casimir force between two Aharonov-Bohm solenoids. Found Phys 23, 809–818 (1993). https://doi.org/10.1007/BF01883810
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DOI: https://doi.org/10.1007/BF01883810