TY - JOUR

T1 - Is there a preferred canonical quantum gauge?

AU - Aharonov, Y.

AU - Anandan, J.

N1 - Funding Information:
In conclusion, the present work shows an interesting connection between the role of the vector po- tential and the canonical commutation relations in quantum theory. This work can be generalized to a non-Abelian gauge field. Here also, a gauge transformation from the Coulomb gauge will in general result in a change in the canonical commutation relations. This will be treated in a future work. It is a pleasure to thank Sidney Coleman and Karel Kuchar for useful discussions. This work was partially supported by NSF grant no. PHY-8807812.

PY - 1991/12/9

Y1 - 1991/12/9

N2 - The interaction between a long solenoid and a charged particle in the field free region outside it is studied treating both systems quantum mechanically. This leads to a paradox which suggests that when the electromagnetic field is quantized, there may be a preferred quantum gauge for the vector potential. This paradox is resolved by canonically quantizing the system in a different gauge in which the classical Lagrangian or Hamiltonian contains an acceleration dependent term.

AB - The interaction between a long solenoid and a charged particle in the field free region outside it is studied treating both systems quantum mechanically. This leads to a paradox which suggests that when the electromagnetic field is quantized, there may be a preferred quantum gauge for the vector potential. This paradox is resolved by canonically quantizing the system in a different gauge in which the classical Lagrangian or Hamiltonian contains an acceleration dependent term.

UR - http://www.scopus.com/inward/record.url?scp=0008025063&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(91)91054-H

DO - 10.1016/0375-9601(91)91054-H

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AN - SCOPUS:0008025063

SN - 0375-9601

VL - 160

SP - 493

EP - 497

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -