Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Hiroaki Niikuni"'
Autor:
Hiroaki Niikuni
Publikováno v:
Opuscula Mathematica, Vol 35, Iss 2, Pp 199-234 (2015)
In this paper, we consider periodic Schrödinger operators on the dumbbell-like metric graph, which is a periodic graph consisting of lines and rings. Let one line and two rings be in the basic period. We see the relationship between the structure of
Externí odkaz:
https://doaj.org/article/62f00322db6b4806a92ebfcdc5d58254
Autor:
Hiroaki Niikuni
Publikováno v:
Quantum Studies: Mathematics and Foundations. 10:1-26
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d107ffe32355084b79df3b29b6a0166b
https://doi.org/10.1007/s40509-022-00278-w
https://doi.org/10.1007/s40509-022-00278-w
Autor:
Hiroaki Niikuni
Publikováno v:
Integral Equations and Operator Theory. 95
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2fb1d01f1280b41b7b1d0c67a28c5d0
https://doi.org/10.1007/s00020-023-02731-w
https://doi.org/10.1007/s00020-023-02731-w
Autor:
Hiroaki Niikuni
Publikováno v:
Operators and Matrices. :1063-1095
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bca7baa6b7281e5041644f4ec9a06f0f
https://doi.org/10.7153/oam-2022-16-71
https://doi.org/10.7153/oam-2022-16-71
Autor:
Hiroaki Niikuni
Publikováno v:
Letters in Mathematical Physics. 110:387-420
It is known in Korotyaev and Lobanov (Ann Henri Poincare 8:1151–1176, 2007) and Parchment (Commun Math Phys 275:805–826, 2007) that spectra of periodic Schrodinger operators on the metric graph corresponding to a carbon nanotube have the band-gap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::574018684e6d075f44c31cec4fec81a5
https://doi.org/10.1007/s11005-019-01220-9
https://doi.org/10.1007/s11005-019-01220-9
Autor:
Hiroaki Niikuni
Publikováno v:
Funkcialaj Ekvacioj. 62:255-283
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9c314ddff732dcee7ef758360659388
https://doi.org/10.1619/fesi.62.255
https://doi.org/10.1619/fesi.62.255
Autor:
Hiroaki Niikuni
Publikováno v:
Results in Mathematics. 76
In this paper, we compare the spectra of bulk and edge Hamiltonians on graphene from the point of view of the theory of quantum graphs. Since the bulk Hamiltonians with even potentials on the graphene has been studied by Kuchment and Post, our main t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7a7baafb0b6b8ce978dc2b71e4b5889
https://doi.org/10.1007/s00025-021-01361-1
https://doi.org/10.1007/s00025-021-01361-1
Autor:
Hiroaki Niikuni
Publikováno v:
Proceedings - Mathematical Sciences. 127:471-516
In this paper, we study the spectra of Schrodinger operators on zigzag carbon nanotubes, which are broken by abrasion or during refining process. Throughout this paper, we assume that the carbon nanotubes are broken periodically and we deal with one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25b8702157c3993fe56a3c949f71d0a2
https://doi.org/10.1007/s12044-017-0342-7
https://doi.org/10.1007/s12044-017-0342-7
Autor:
Hiroaki Niikuni
Publikováno v:
Journal of Applied Mathematics and Computing. 50:453-482
In this paper, we study the spectra of periodic Schrodinger operators with two potentials on a quantum graph, which is related to a carbon nanotube. We show that the spectrum has the band structure. Furthermore, we deal with a coexistence problem and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f632eafe0ebad5cea7d8b5b7643e1fa3
https://doi.org/10.1007/s12190-015-0879-5
https://doi.org/10.1007/s12190-015-0879-5
Autor:
Hiroaki Niikuni
Publikováno v:
Integral Equations and Operator Theory. 79:477-505
In this paper, we consider the Schrodinger operators with a periodic potential and the δ type vertex conditions on a metric graph, which is called the degenerate zigzag nanotube, and discuss those spectrum. We demonstrate that the spectrum has the b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2829c08383813954dac326fee4de6a00
https://doi.org/10.1007/s00020-014-2162-9
https://doi.org/10.1007/s00020-014-2162-9