On the Spectrum Discreteness for the Magnetic Schrodinger Operator on Quantum Graphs

키워드

참고문헌 (16)

1. S. Akduman, "Schr¨odinger operators with locally integrable potentials on infinite metric graphs", Appl. Anal, 96(12), pp.2149~2161 (2017)
2. D. Barseghyan, "Spectral analysis of a class of Schr¨odinger operators exhibiting a parameter-dependent spectral transition", J. Phys. A, 49(16), pp.19~ (2016)
3. M. Bellassoued, "Stable determination of coefficients in the dynamical Schr¨odinger equation in a magnetic field", Inverse Problems, 33(5), pp.36~ (2017)
4. G. Berkolaiko, "Quantum graphs and their applications", Proceedings of an AMSIMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications (2005), American Mathematical Soc
5. G. Berkolaiko, "Introduction to quantum graphs" (2013), American Mathematical Society
6. M. Bonnefont, "Magnetic sparseness and Schr¨odinger operators on graphs", Annales Henri Poincare, 21, pp.1489~1516 (2020)
7. A. Chatterjee, "Persistent current in a chain of two Holstein-Hubbard rings in the presence of Rashba spin-orbit interaction", Nanosystems:Physics, Chemistry, Mathematics, 10, pp.50~62 (2019)
8. D. A. Eremin, "Wave dynamics on time-depending graph with Aharonov-Bohm ring", Nanosystems: Physics, Chemistry, Mathematics, 9, pp.457~463 (2018)
9. P. Exner, "Analysis on graphs and its applications", Proceedings of Symposia in Pure Mathematics, 77 (2008), American Mathematical Soc
10. E. Korotyaev, "Magnetic Schr¨odinger operators on periodic discrete graphs", J. Funct. Anal, 272(4), pp.1625~1660 (2017)
11. M. O. Kovaleva, "On Molchanov’s condition for the spectrum discreteness of a quantum graph Hamiltonian with δ-coupling", Rep. Math. Phys, 76(2), pp.171~178 (2015)
12. A. M. Molchanov, "On conditions of spectrum discreteness for self-adjoint differential operators of second order", Proc. Moscow Math. Soc, 2, pp.169~199 (1953)
13. R. Oinarov, "A criterion for a general Sturm-Liouville operator to have a discrete spectrum, and a related imbedding theorem", Differential Equations, 24(4), pp.402~408 (1988)
14. N. Raymond, "Bound states of the magnetic Schr¨odinger operator" (2017), European Mathematical Society
15. K. Ruedenberg, "Free electron network model for conjugated systems. I. theory", J. Chem. Phys, 21(9), pp.1565~1581 (1953)
16. J. Zhao, "Discreteness of spectrum for Schr¨odinger operators with δ-type conditions on infinite regular trees", Proc. Roy. Soc. Edinburgh Sect. A, 147(5), pp.1091~1117 (2017)

관련 논문AI추천