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
One particle Hamiltonian essential spectrum asymptotic eigenvalue
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 6 |