EN
The existence and location of eigenvalues of the one particle Hamiltonians on lattices
Abstract
We consider a quantum particle moving in the one dimensional lattice
Z and interacting with a indefinite sign external field vˆ. We prove that
the associated Hamiltonian H can have one or two eigenvalues, situated
as below the bottom of the essential spectrum, as well as above the its
top. Moreover, we show that the operator H can have two eigenvalues
outside of the essential spectrum and one of them is situated below the
bottom of the essential spectrum, and other one above its top
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 1, 2016
Submission Date
September 29, 2015
Acceptance Date
January 28, 2016
Published in Issue
Year 2016 Volume: 45 Number: 6
APA
Lakaev, S., & Özdemir, E. (2016). The existence and location of eigenvalues of the one particle Hamiltonians on lattices. Hacettepe Journal of Mathematics and Statistics, 45(6), 1693-1703. https://izlik.org/JA57AF29RP
AMA
1.Lakaev S, Özdemir E. The existence and location of eigenvalues of the one particle Hamiltonians on lattices. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1693-1703. https://izlik.org/JA57AF29RP
Chicago
Lakaev, Saidakhmat, and Ender Özdemir. 2016. “The Existence and Location of Eigenvalues of the One Particle Hamiltonians on Lattices”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1693-1703. https://izlik.org/JA57AF29RP.
EndNote
Lakaev S, Özdemir E (December 1, 2016) The existence and location of eigenvalues of the one particle Hamiltonians on lattices. Hacettepe Journal of Mathematics and Statistics 45 6 1693–1703.
IEEE
[1]S. Lakaev and E. Özdemir, “The existence and location of eigenvalues of the one particle Hamiltonians on lattices”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1693–1703, Dec. 2016, [Online]. Available: https://izlik.org/JA57AF29RP
ISNAD
Lakaev, Saidakhmat - Özdemir, Ender. “The Existence and Location of Eigenvalues of the One Particle Hamiltonians on Lattices”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1693-1703. https://izlik.org/JA57AF29RP.
JAMA
1.Lakaev S, Özdemir E. The existence and location of eigenvalues of the one particle Hamiltonians on lattices. Hacettepe Journal of Mathematics and Statistics. 2016;45:1693–1703.
MLA
Lakaev, Saidakhmat, and Ender Özdemir. “The Existence and Location of Eigenvalues of the One Particle Hamiltonians on Lattices”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, Dec. 2016, pp. 1693-0, https://izlik.org/JA57AF29RP.
Vancouver
1.Saidakhmat Lakaev, Ender Özdemir. The existence and location of eigenvalues of the one particle Hamiltonians on lattices. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1693-70. Available from: https://izlik.org/JA57AF29RP