Titlebook: Jost Functions in Quantum Mechanics; A Unified Approach t Sergei A. Rakityansky Book 2022 The Editor(s) (if applicable) and The Author(s),

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Book 2022 of scattering, bound, and resonant states, in a unified way. The reader finds here all that is known about Jost functions as well as what is needed to fill the gap between the pure mathematical theory and numerical calculations. Some of the topics covered are: quantum resonances, Regge poles, multi

BRIDE

Complex Angular Momentume Jost functions and the .-matrix on the complex .-plane are analyzed. The relations of Regge poles to the ANC and the resonance parameters are established. The so-called Watson transformation of the partial wave expansion, reducing it to a sum of Regge-pole contributions and a background integral, is considered.

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Green’s Functions final section of this chapter, Green’s functions are used to prove the Jost-Pais theorem that relates the Jost function to the Fredholm determinant of the integral equation for the physical wave function of the scattering state.

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Multi-Channel Jost Matrixf the bound and resonant states as well as to the partial decay widths of the resonances are derived. The calculation of the observables of the multi-channel scattering is considered in detail. The reciprocity relation and the detailed balance principle in the multi-channel scattering are proved.

Euphonious

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The Basic Concepts,d as a list of the key points that allow you to test yourself and decide if you are ready to proceed with the reading or it is necessary to refresh your knowledge of quantum mechanics. Besides that, the formulae given here are used as reference material in several places in the main body of the book.

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