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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 8
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Original Articles

Practical inversion formulas in a quantum mechanical system

Pages 759-767 | Published online: 18 Aug 2006
 

Abstract

This article deals with the operator

The operator P appears in quantum mechanics on the 1-sphere S 1 based on Dirac formalism. On the basis of an integral transform W constructed by S. Watanabe and using the theory of reproducing kernels, we shall give approximate practical real inversion formulas in a quantum mechanical system.

Acknowledgment

The author thanks Professor Shuji Watanabe for suggesting the problem studied in this article.

Notes

Additional information

Notes on contributors

Fethi Soltani Footnote*

Email: [email protected]

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