The Rocky Mountain journal of mathematics, 2002-06, Vol.32 (2), p.499-506
2002
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Details
- Autor(en) / Beteiligte
- Titel
- FROM NON-HERMITIAN OSCILLATOR-LIKE OPERATORS TO FREUD POLYNOMIALS AND SOME CONSEQUENCES
- Ist Teil von
- The Rocky Mountain journal of mathematics, 2002-06, Vol.32 (2), p.499-506
- Ort / Verlag
- Tempe, AZ: The Rocky Mountain Mathematics Consortium
- Erscheinungsjahr
- 2002
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- Non-Hermitian quantum Hamiltonians dealing with oscillator-like interactions are discussed when realized in terms of creation and annihilation operators that are no longer adjoint to each other. Specific differential realizations are exploited and lead to real spectra and typical eigenfunctions including (unexpected) Freud orthogonal polynomials. Hermiticity is finally revisited with respect to new scalar products of specific Hilbert spaces.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0035-7596eISSN: 1945-3795DOI: 10.1216/rmjm/1030539683Titel-ID: cdi_projecteuclid_primary_oai_CULeuclid_euclid_rmjm_1181070084
- Format
- –
- Schlagworte
- Adjoints, Dot product of vectors, Eigenfunctions, Exact sciences and technology, Factorization, Harmonic oscillators, Hilbert spaces, Mathematical analysis, Mathematics, Operator theory, Physics, Polynomials, Quantum mechanics, Sciences and techniques of general use, Special functions