14 citations · 28 across the 12 of their papers we have counts for
12 papers
Spreading of the conception of permanent resonance to wave motions over lattices
B. N. Zakhariev
Discovered by us [1] special (permanent) resonance mechanism of spectral zone creation in periodic structures is generalized to the case of discrete space lattices and finite diffe…
Surprising attractive potential barriers and repulsive wells
B. N. Zakhariev
The fundamental fact is revealed that in the old good quantum mechanics there is possible such unexpected inversion: potential barriers can drag in wave-particles and wells can pus…
Single- and Multichannel Wave Bending
B. N. Zakhariev, V. M. Chabanov
Recently, we have discovered a new concept of permanent wave resonance with potential spatial oscillations. This means the constant wave swinging frequency on the whole energy inte…
"Paradoxical" coexistence of continuum of 'bound' waves and discrete set of unlimited motion states
V. M. Chabanov, B. N. Zakhariev
We have combined two remarkable phenomena: resonance tunneling and Anderson localization. It results in unexpected spectrum reverse to usual notions. It is demonstrated by the quan…
Inverse eigenvalue problem for discrete three-diagonal Sturm-Liouville operator and the continuum limit
Vladimir M. Chabanov, Boris N. Zakhariev
In present article the self-contained derivation of eigenvalue inverse problem results is given by using a discrete approximation of the Schroedinger operator on a bounded interval…
New theory of periodical systems by finite interval inverse problem
B. N. Zakhariev, V. M. Chabanov
We show that the mechanism of gap formation has a resonance nature. The special real fundamental solutions were discovered which `paradoxically' have knot distribution with a perio…