q-Extension of Mehta's eigenvectors of the finite Fourier transform for q, a root of unity
| Authors |
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| Publication date | 2009 |
| Journal | Journal of Physics. A, Mathematical and Theoretical |
| Volume | Issue number | 42 | 45 |
| Pages (from-to) | 454004 |
| Number of pages | 9 |
| Organisations |
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| Abstract | It is shown that the continuous q-Hermite polynomials for q, a root of unity, have simple transformation properties with respect to the classical Fourier transform. This result is then used to construct q-extended eigenvectors of the finite Fourier transform in terms of these polynomials. |
| Document type | Article |
| Published at | https://doi.org/10.1088/1751-8113/42/45/454004 |
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(Accepted author manuscript)
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