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Practical inversion formulas in a quantum mechanical system

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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.

Keywords: 2000 Mathematics Subject Classifications: 46E22; 42B10; 44A20; Integral transform; Practical real inversion; Quantum mechanics formulas; Reproducing kernels

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810500047972

Affiliations: Communicated by S. Saitoh

Publication date: August 1, 2005

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