Descriptions of operators in quantum mechanics

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

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Abstract

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:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences - Section A
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Heisenberg group;Weyl representation;Fourier-Mellin representation for operators;functions of operators .
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	15 Dec 2010 05:03
Last Modified:	15 Dec 2010 05:03
URI:	http://eprints.iisc.ac.in/id/eprint/34480

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