Polynomial Representation for Scalar Product of Unit Tensor Operators in f^n and its Application(Atomic and Molecular Physics)
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概要
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The polynomial representations in l_i・l_j are given for the relevant quantities to the unit tensor operators such as Coulomb interaction and Casimir's operators in f^2. The eigenvalues for the quantities in f^n are considered by combining with those of Casimir's operators on a basis of the representations. The expressions of e_1, e_2 and e_3 for the maximal spin multiplets are interestingly derived. The remarkable is that the procedures for finding the eigenvalues are performed without help of the group theoretical technique.
- 2006-05-15
著者
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NARITA Akira
Division of Applied Mathematics, Akita National College of Technology
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HIGUCHI Masahiko
Department of Physics, Faculty of Science, Shinshu University
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Narita Akira
Division Of Applied Mathematics Akita National College Of Technology
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Higuchi Masahiko
Department Of Physics Faculty Of Science Shinshu University
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- Polynomial Representation for Scalar Product of Unit Tensor Operators in f^n and its Application(Atomic and Molecular Physics)
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