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"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…
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…
Toward the spectral zone control
B. N. Zakhariev, V. M. Chabanov
The desired shifts of the boundaries of spectral allowed zones of periodical systems are demonstrated. In particular, the phenomenon of merging neighbor allowed zones is exhibited…
Obedient quantum mechanics: New status of the theory in the inverse problem approach
B. N. Zakhariev, V. M. Chabanov
New status in quantum mechanics is connected with recent achievements in the inverse problem. With its help instead of about ten exactly solvable models which serve as a basis of t…
Exact solutions for classical few-body systems from the multichannel quantum inverse problem
B. N. Zakhariev, V. M. Chabanov
A surprising "duality" of the Newton equation with time-dependent forces and the stationary Schroedinger equation is discussed. Wide classes of exact solutions not known before for…
On the Qualitative Theory of Non-Gamov Decay States
V. M. Chabanov, B. N. Zakhariev
Complex potential transformations which add imaginary parts to chosen energy levels are given and qualitatively explained. Unexpected shape similarity of potential perturbations fo…