• Quantum Phase and its Measurable Attributes a la Aharonov-Bohm Effect

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/023/09/0949-0963

    • Keywords

       

      Aharonov–Bohm effect, vector potential, tight-binding model, mesoscopic ring, bond current.

    • Abstract

       

      In this article, we discuss how a combination of electrodynamicsand quantum mechanics makes interference measurementsof the quantum phase possible in terms of the vectorpotential, neither of which is detectable independently. Thiseffect, predicted by Aharonov and Bohm, is of great significancein the contemporary interesting topic of nanoscopicphysics. We also indicate how the effect can be incorporatedin a solid state device by employing the tight-binding (TB)model. The TB model can be realized in a mesoscopic ringwhich allows the measurement of the bond current and theassociated diamagnetism. An exactly solvable case of a threesitering is presented that serves as a pedagogic example providingfurther insights into the phenomenon.

    • Author Affiliations

       

      Sushanta Dattagupta1

      1. Uniworld City, Heights Tower 6, Flat 002, New Town (Action Area III), Rajarhat, Kolkata 700 156
    • Dates

       

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