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

DE2003812603

Publication Date	2002
Personal Author	Goldhaber, A. S.; Requist, R.
Page Count	18
Abstract	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.
Keywords	Aharonov-Bohm effect Superconductors Angular momentum Charged particles Magnetic flux Mesons P waves Resonance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; State Univ. of New York at Stony Brook. Dept. of Physics and Astronomy.; Department of Energy, Washington, DC.
Supplemental Notes	Prepared in cooperation with State Univ. of New York at Stony Brook. Dept. of Physics and Astronomy. Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200407
Contract Number	DE-AC03-76SSF00515

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

Elementary Aharonov-Bohm System in Three Space Dimensions: Quantum Attraction with no Classical Force.
DE2003812603

Publication Date	2002
Personal Author	Goldhaber, A. S.; Requist, R.
Page Count	18
Abstract	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.
Keywords	Aharonov-Bohm effect Superconductors Angular momentum Charged particles Magnetic flux Mesons P waves Resonance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; State Univ. of New York at Stony Brook. Dept. of Physics and Astronomy.; Department of Energy, Washington, DC.
Supplemental Notes	Prepared in cooperation with State Univ. of New York at Stony Brook. Dept. of Physics and Astronomy. Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200407
Contract Number	DE-AC03-76SSF00515