TY - JOUR

T1 - Nonlocal quantum dynamics of the aharonov-bohm effect

AU - Kaufherr, T.

AU - Aharonov, Y.

PY - 2010/9/3

Y1 - 2010/9/3

N2 - The answer to the question 'when does the AB effect occur?' is elusive, for in every gauge the relative phase between the two wave packets evolves differently. Considering gauge-invariant modulo momentum, i.e., the displacement operator ei/h(p→ - e/c A→)L→ · or its Hermitian counterpart cos 1/h (p→ - e/c A→) ·L→, it is found that when the external particle's two wave packets become co-linear with the solenoid, an abrupt nonlocal exchange of the conserved quantity occurs. Using the Heisenberg picture, we show that this exchange is responsible for the shift of the interference pattern of the AB effect. We also describe a gedanken experiment that shows that our prediction can, in principle, be tested experimentally. Finally, this exchange gives new insight into the famous twoslit quantum interference experiment.

AB - The answer to the question 'when does the AB effect occur?' is elusive, for in every gauge the relative phase between the two wave packets evolves differently. Considering gauge-invariant modulo momentum, i.e., the displacement operator ei/h(p→ - e/c A→)L→ · or its Hermitian counterpart cos 1/h (p→ - e/c A→) ·L→, it is found that when the external particle's two wave packets become co-linear with the solenoid, an abrupt nonlocal exchange of the conserved quantity occurs. Using the Heisenberg picture, we show that this exchange is responsible for the shift of the interference pattern of the AB effect. We also describe a gedanken experiment that shows that our prediction can, in principle, be tested experimentally. Finally, this exchange gives new insight into the famous twoslit quantum interference experiment.

UR - http://www.scopus.com/inward/record.url?scp=78649601773&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/43/35/354012

DO - 10.1088/1751-8113/43/35/354012

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AN - SCOPUS:78649601773

VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 35

M1 - 354012

ER -