Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction with no Classical Force.

Goldhaber, A. S. ; Requist, R.

Technical Information Center Oak Ridge Tennessee

关键词: Aharonov-Bohm effect;    Superconductors;    Angular momentum;    Charged particles;    Magnetic flux;   

RP-ID  :  DE2003812603

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is remarkable because in classical physics there is no force between the two objects, and quantum-mechanical effects (associated with uncertainty-principle energy) generally are repulsive rather than attractive. For an incident spinless charged particle in a P wave, in a configuration with total angular momentum zero, we verify a resonance just above threshold using the Kohn variational principle in its S-matrix form. Even if optimistic choices of parameters describing a model system with these properties turned out to be feasible, the temperature required to observe the resonance would be far lower than has yet been attained in the laboratory.