Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians (Q2872151)
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scientific article; zbMATH DE number 6245191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians |
scientific article; zbMATH DE number 6245191 |
Statements
Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians (English)
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14 January 2014
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Meixner polynomials
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Charlier polynomial
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negative binomial distribution
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non-Hermitian oscillator Hamiltonian
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The authors investigate multiple Meixner polynomials, i.e., one-variable polynomials having orthogonality relations with respect to more than one negative binomial distribution (Pascal distribution). The multiple Meixner polynomials are then employed to construct non-Hermitian Hamiltonians in \(r>1\) dimensions that are simultaneously diagonalizable and whose eigenstates are expressible in terms of multiple Meixner polynomials.
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