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Some properties of the Hamiltonian describing a finite number of δ’-interactions with support on concentric spheres

Некоторые свойства Г амильтонова описани я конечного числа σ′-взаимодейст вий с опорой на концентрич еские сферы

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Il Nuovo Cimento B (1971-1996)

Summary

We study the Schrödinger Hamiltonian corresponding to a finite number of δ’-interactions supported by concentric spheres. In particular we discuss the self-adjointness of the Hamiltonian, derive the resolvent equation and study the spectral properties.

Riassunto

Si studia l’hamiltoniana di Schrödinger che corrisponde a un numero fïnito di interazioni δ’ sostenute da sfere concentriche. In particolare si discute la capacità dell’Hamiltoniana di essere autoaggiunta, si deriva l’equazione risolutiva e si studiano le proprietà spettrali.

Резюме

Мы исследуем Гамильт ониан Шредингера, соответствующий конечному числу σ′-вз аимодействий, опираю щихся на концентрические сфе ры. В частности, мы обсужда ем самосопряженный Гамильтониан, выводи м уравнение резольвенты и исслед уем спектральные сво йства.

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Authors and Affiliations

  1. Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    J. Shabani

  2. Research Center Bielefeld-Bochum-Stochastics, University of Bielefeld, Bielefeld, West Germany

    J. Shabani

Authors
  1. J. Shabani
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Additional information

On leave of absence from Département de Mathématiques, Université du Burundi, BP 2700 Bujumbura, Burundi.

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Shabani, J. Some properties of the Hamiltonian describing a finite number of δ’-interactions with support on concentric spheres. Nuov Cim B 101, 429–437 (1988). https://doi.org/10.1007/BF02828921

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  • DOI: https://doi.org/10.1007/BF02828921

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