The existence and location of eigenvalues of the one particle Hamiltonians on lattices

Saidakhmat Lakaev; Ender Özdemir

Research Article

The existence and location of eigenvalues of the one particle Hamiltonians on lattices

Year 2016, Volume: 45 Issue: 6, 1693 - 1703, 01.12.2016

Saidakhmat Lakaev Ender Özdemir

https://izlik.org/JA57AF29RP

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

One particle Hamiltonian , essential spectrum , asymptotic , eigenvalue

References

. . .

Year 2016, Volume: 45 Issue: 6, 1693 - 1703, 01.12.2016

Saidakhmat Lakaev Ender Özdemir

https://izlik.org/JA57AF29RP

Abstract

References

. . .

There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Saidakhmat Lakaev This is me Ender Özdemir This is me
Publication Date	December 1, 2016
IZ	https://izlik.org/JA57AF29RP
Published in Issue	Year 2016 Volume: 45 Issue: 6

Cite

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