Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field
https://doi.org/10.17586/2220-8054-2024-15-2-155-159
Abstract
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.
Supporting agencies: The work was supported by Russian Science Foundation (grant number 23-21-00096 (https://rscf.ru/en/project/23-21-00096/)).
About the Authors
A. S. Melikhova
ITMO University
Russian Federation
Russian Federation
Alina S. Melikhova – Center of Mathematics, ITMO University.
Kroverkskiy, 49, St. Petersburg, 197101
A. I. Popov
ITMO University
Russian Federation
Russian Federation
Anton I. Popov – Center of Mathematics, ITMO University.
Kroverkskiy, 49, St. Petersburg, 197101
I. V. Blinova
ITMO University
Russian Federation
Russian Federation
Irina V. Blinova – Center of Mathematics, ITMO University.
Kroverkskiy, 49, St. Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Igor Y. Popov – Center of Mathematics, ITMO University.
Kroverkskiy, 49, St. Petersburg, 197101
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Review
For citations:
Melikhova A.S., Popov A.I., Blinova I.V., Popov I.Y. Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field. Nanosystems: Physics, Chemistry, Mathematics. 2024;15(2):155-159. https://doi.org/10.17586/2220-8054-2024-15-2-155-159
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