SUSY transformations for quasinormal modes of open systems

Journal of Mathematical Physics

Volumn 42, Issue 10, 2001, Pages 4802-4820

  Leung, P T ^a   Maassen Van Den Brink, Alec ^a,b,c   Suen, W M ^a,d   Wong, C W ^a   Young, K ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b STONY BROOK UNIVERSITY   (United States)

^c D WAVE SYSTEMS INC   (Canada)

^d WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537075     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1388900     Document Type: Article

References (69)

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25. 2; thus they are represented on the real ω-axis. In this paper we do not consider the zero-leakage limit, so there is no danger of confusing NMs in this sense with the NMs on the positive imaginary axis in the ω-plane.
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47. Note the difference in notation from Ref. 39, where f̃ and g̃ denote normalized functions.
48. This relation also yields a counterpart of (3.15) for the (Q)NM corresponding to the generator Φ itself, (Φ̃,Φ̃) = J ( -Ω)/[2ΩΦ( - a)Φ(a)].
49. j.l . However, no meaningful transformation emerges. This difference with the case of the field expansion can be understood by realizing that, when the poles split perpendicular to the imaginary axis upon changing the sign of the splitting perturbation, the SUSY transforms cease to exist altogether.
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69. 2 cannot be positive definite.