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Commutation relations in mesoscopic electric circuits

 

作者: You-Quan Li,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1900)
卷期: Volume 545, issue 1  

页码: 85-91

 

ISSN:0094-243X

 

年代: 1900

 

DOI:10.1063/1.1337717

 

出版商: AIP

 

数据来源: AIP

 

摘要:

In the talk, I briefly demonstrate the quantum theory for mesoscopic electric circuits and its applications. In the theory, the importance of the charge discreteness in a mesoscopic electric circuit is addressed. As a result, a new kind of commutation relation for electric charge and current occurred inevitably. The charge representation, canonical current representation and pseudo-current representation are discussed extensively. It not only provides a concrete realization of mathematical models which discuss the space quantization in high energy physics and quantum gravity but also presents a sequence of applications in condensed matter physics from a different point of view. A possible generalization to coupled circuits is also proposed. ©2000 American Institute of Physics.

 

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