\(p\)-adic quantum mechanics and coherent states. I. Weyl systems (Q1176955)
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scientific article; zbMATH DE number 12724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p\)-adic quantum mechanics and coherent states. I. Weyl systems |
scientific article; zbMATH DE number 12724 |
Statements
\(p\)-adic quantum mechanics and coherent states. I. Weyl systems (English)
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25 June 1992
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The Weyl form of canonical commutation relations in many-dimensional \(p\)- adic quantum mechanics is studied. The set of corresponding coherent states is constructed. It appears to be a complete set of orthogonal functions in the representation space of commutation rules. The unitary equivalence of irreducible Weyl systems is proven. The subduction of the representation of the symplectic group \(Sp(2n,Q_ p)\) on a certain subgroup is studied with the help of coherent states.
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canonical commutation relations
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\(p\)-adic quantum mechanics
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coherent states
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representation space
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unitary equivalence
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irreducible Weyl systems
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subduction
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symplectic group
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