ABSENT SPECTRAL GAPS OF THE GENERALIZED KRONIG-PENNEY HAMILTONIANS
Author:
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/62/1/62_1_89/_pdf
Reference10 articles.
1. [1] P. R. Chernoff and R. J. Hughes. A new class of point interactions in one dimension. J. Funct. Anal. 111 (1993), 97-117.
2. [2] F. Gesztesy, H. Holden and W. Kirsch. On energy gaps in a new type of analytically solvable model in quantum mechanics. J. Math. Anal. Appl. 134 (1988), 9-29.
3. [3] F. Gesztesy and W. Kirsch. One-dimensional Schrödinger operators with interactions singular on a discrete set. J. reine angew. Math. 362 (1985), 28-50.
4. [4] R. J. Hughes. Generalized Kronig-Penney Hamiltonians. J. Math. Anal. Appl. 222(1) (1998), 151-166.
5. [5] R. Kronig and W. Penney. Quantum mechanics in crystal lattices. Proc. R. Soc. London 130 (1931), 499-513.
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the Degenerate Spectral Gaps of the One-Dimensional Schrödinger Operators with Periodic Point Interactions;SIAM Journal on Mathematical Analysis;2012-01
2. Coexistence problem for the one-dimensional Schrödinger operators with the double or triple periodic δ(1)-interactions;Journal of Mathematical Analysis and Applications;2010-06
3. On the Location of the Degenerate Spectral Gaps of the Generalized Kronig-Penney Hamiltonians;Funkcialaj Ekvacioj;2010
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