Descriptions of operators in quantum mechanics

Mukunda, N. (1979) Descriptions of operators in quantum mechanics Proceedings of the Indian Academy of Sciences, Section A, 88 (1). pp. 69-92. ISSN 0370-0089

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The problem of expressing a general dynamical variable in quantum mechanics as a function of a primitive set of operators is studied from several points of view. In the context of the Heisenberg commutation relation, the Weyl representation for operators and a new Fourier-Mellin representation are related to the Heisenberg group and the groupSL(2,R) respectively. The description of unitary transformations via generating functions is analysed in detail. The relation between functions and ordered functions of noncommuting operators is discussed, and results closely paralleling classical results are obtained.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Heisenberg Group; Weyl Representation; Fourier-Mellin Representation for Operators; Functions of Operators
ID Code:78440
Deposited On:20 Jan 2012 04:08
Last Modified:18 May 2016 21:15

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