Optical theorem and Aharonov-Bohm scattering |
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Authors: | M M Panja P K Bera B Talukdar |
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Institution: | (1) Department of Physics, Visva-Bharati University, 731 235 Santiniketan, India |
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Abstract: | A rigorous derivation of the optical theorem (OT) from the conservation of probability flux (CPF) is presented for scattering
on an arbitrary spherically symmetric potential inN-spatial dimensions (ND). The constructed expression for the OT is found to yield the corresponding well-known results for
two- and three-dimensional cases in a rather natural way. The Aharonov-Bohm (AB) effect is considered as a scattering event
of an electron by a magnetic field confined in an infinitely long shielded solenoid and a similar derivation is attempted
for an appropriate optical theorem. Our current understanding of the scattering theory is found to be inadequate for the purpose.
The reason for this is discussed in some detail. |
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Keywords: | Optical theorem AB scattering |
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