TWO-BODY MODEL OF QUANTUM WIRE COUPLED WITH QUANTUM RING

Dmitry Eryomin

2010 , VOLUME 10, NUMBER 5 ( SEPTEMBER-OCTOBER )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
D.Sc., Prof.

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TWO-BODY MODEL OF QUANTUM WIRE COUPLED WITH QUANTUM RING

D. Eryomin

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Abstract

Operators, describing behavior of two interacting particles in the quantum wire and in the ring, are constructed by means of operator extension theory. Two-body model of quantum wire coupled with quantum ring is described. Model spectrum is numerically studied. The result is compared with equivalent model with one particle.

Keywords: Schrödinger equations, symmetric operator, Krein theory, self-conjugate extension, Green function

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