Fe b 20 00 Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant

Content Provider	Semantic Scholar
Copyright Year	2000
Abstract	Comparison between the exact value of the spectral zeta function, Z H (1) = 5 −6/5 [3 − 2 cos(π/5)] Γ 2 (1/5)/Γ(3/5), and the results of numeric and WKB calculations supports the conjecture by Bessis that all the eigenvalues of this PT-invariant hamiltonian are real. For one-dimensional Schrödinger operators with complex potentials having a monotonic imaginary part, the eigenfunctions (and the imaginary parts of their logarithmic derivatives) have no real zeros. PACS numbers:
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Alternate Webpage(s)	http://arxiv.org/pdf/quant-ph/0002056v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Coupling constant Cubic function Dietary Iron Field electron emission Hamiltonian (quantum mechanics) Imaginary time Numbers Oscillator Device Component Physics and Astronomy Classification Scheme Schrödinger
Content Type	Text
Resource Type	Article