Geodesic
Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 2, pp. 155-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Schrödinger operators with constant magnetic field in a bent chain and Y-type chain of coupled balls are considered. Coupling exists due to point-like openings at the touching points of neighbor spheres. The mathematical background of the model is the theory of self-adjoint extensions of symmetric operators. The spectral equations for the model operators in each case were derived and analyzed.
Keywords: spectrum, operator extensions theory, balls chain, magnetic field. 
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     author = {Alina S. Melikhova and Anton I. Popov and Irina V. Blinova and Igor Yu. Popov},
     title = {Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {155--159},
     year = {2024},
     volume = {15},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a0/}
}
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Alina S. Melikhova; Anton I. Popov; Irina V. Blinova; Igor Yu. Popov. Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 2, pp. 155-159. http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a0/