Gauge invariance and reciprocity in quantum mechanics
Publication in refereed journal

香港中文大學研究人員

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摘要Reciprocity in wave propagation usually refers to the symmetry of the Green's function under the interchange of the source and the observer coordinates, but this condition is not gauge invariant in quantum mechanics, a problem that is particularly significant in the presence of a vector potential. Several possible alternative criteria are given and analyzed with reference to different examples with nonzero magnetic fields and/or vector potentials, including the case of a multiply connected spatial domain. It is shown that the appropriate reciprocity criterion allows for specific phase factors separable into functions of the source and observer coordinates and that this condition is robust with respect to the addition of any scalar potential. In the Aharonov-Bohm effect, reciprocity beyond monoenergetic experiments holds only because of subsidiary conditions satisfied in actual experiments: the test charge is in units of e and the flux is produced by a condensate of particles with charge 2e.
著者Leung PT, Young K
期刊名稱Physical Review A
出版年份2010
月份3
日期1
卷號81
期次3
出版社American Physical Society
國際標準期刊號1050-2947
電子國際標準期刊號1094-1622
語言英式英語
Web of Science 學科類別Optics; OPTICS; Physics; Physics, Atomic, Molecular & Chemical; PHYSICS, ATOMIC, MOLECULAR & CHEMICAL

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