NEGATIVE EIGENVALUES OF THE Y-TYPE CHAIN OF WEAKLY COUPLED BALL RESONATORS
Аннотация:
Spectral properties of a system are strongly associated with its geometry. The spectral problem for the Y-bent chain of weakly-coupled ball resonators is investigated. The Y-bent system can be described as a central ball linking three chains consisting of balls of the same radius. There is a δ -coupling condition with parameter α at every contact point. Specifically, it is assumed that the axis passing through the center of each ball lies in the same plane and the centers of balls that are the closest to the central ball form an equilateral triangle. The transfer-matrix approach and the theory of extensions are employed to solve the spectral problem for this system. It is shown that such system with a certain value of parameter α has at most one negative eigenvalue in the case of δ -coupling in contact points.
Ключевые слова:
Постоянный URL
Статьи в номере
- DIFFUSION AND LAPLACIAN TRANSPORT FOR ABSORBING DOMAINS
- ON SPECTRAL GAPS IN GRAPHENE IN A WEAK CONSTANT MAGNETIC FIELD
- ON THE ASYMPTOTICS OF THE PRINCIPAL EIGENVALUE FOR A ROBIN PROBLEM WITH A LARGE PARAMETER IN PLANAR DOMAINS
- C*-ALGEBRAS IN RECONSTRUCTION OF MANIFOLDS
- APPLICATION OF GREEN’S FUNCTION APPROACH TO ELECTRONIC STRUCTURE OF CARBON NANOCYLINDERS
- GAUSSIAN CLASSICAL CAPACITY OF GAUSSIAN QUANTUM CHANNELS
- EXPERIMENTAL AND THEORETICAL CHARACTERISATION OF JOSEPHSON SELF-COUPLING IN SUB-TERAHERTZ FLUX-FLOW OSCILLATOR
- GENETIC ALGORITHM FOR CONSTRUCTING GRAPHENE NANORIBBON WITH GIVEN ELECTRONIC TRANSPORT PROPERTIES
- HYSTERESIS OF CONDUCTIVITY IN THE GRANULAR SILVER FILMS
- EFIMOV’S EFFECT FOR PARTIAL INTEGRAL OPERATORS OF FREDHOLM TYPE
- THE CONUCTIVITY LOW ENERGY ASYMPTOTICS FOR MONOLAYER GRAPHENE
- INVESTIGATION OF QUANTUM RANDOM NUMBER GENERATION BASED ON SPACE-TIME DIVISION OF PHOTONS
- TUNNELING CURRENT IN CARBON NANOTUBES WITH DEEP IMPURITIES
- HARTREE-FOCK APPROXIMATION FOR THE PROBLEM OF PARTICLE STORAGE IN DEFORMED NANOLAYER
- ELECTROPHYSICAL PROPERTIES OF CNT. THE AUGMENTED CYLINDRICAL WAVE METHOD
- MODEL OF THE INTERACTION OF POINT SOURCE ELECTROMAGNETIC FIELDS WITH METAMATERIALS