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Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)

Threshold Resonances and Eigenvalues of Some Schrödinger Operators on Lattices

Muminov, Z. and Fudziah, I.

Corresponding Email: zimuminov@mail.ru

Received date: -
Accepted date: -

Abstract:
The discrete Schrödinger operator $H_{\lambda\mu}$ on the subspace of even functions of the Hilbert space $\ell^{2}(\mathbb{Z}^{n})$, with finite potential depending on $\lambda$, $\mu \in \mathbb{R}_{> 0}$, is considered. The dependence of the threshold resonance and eigenvalues on the parameters $\lambda$, $\mu$ and $n$ are explicitly derived.

Keywords: Discrete Schrödinger operators, threshold resonance, eigenvalues, lattice

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