A complete and orthonormal representation in two-mode Fock space gained by two-variable Hermite polynomials (Q2710969)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A complete and orthonormal representation in two-mode Fock space gained by two-variable Hermite polynomials |
scientific article |
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2 May 2001
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A complete and orthonormal representation in two-mode Fock space gained by two-variable Hermite polynomials (English)
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In terms of the two-variable Hermite polynomials' properties we derive the common eigenstates \(|q, \lambda\rangle\) of two permutable operators \((a^\dag + b)(a + b^\dag)\) and \(a^\dag a - b^\dag b\), where \(q\) is discrete and \(\lambda\) is continuous. These states constitute a complete and orthonormal representation. Applications of the \(|q,\lambda\rangle\) are discussed.
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