From non-Hermitian oscillator-like operators to Freud polynomials and some consequences

被引：0
|
作者：
Beckers, J [1 ]
Debergh, N
机构：
[1] Univ Liege, Inst Phys B5, B-4000 Liege 1, Belgium
[2] Inst Interuniv Sci Nucl, Brussels, Belgium
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2002年 / 32卷 / 02期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 eigen-functions including (unexpected) Freud orthogonal polynomials. Hermiticity is finally revisited with respect to new scalar products of specific Hilbert spaces.
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页码：499 / 506
页数：8
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