| Authors | I.V. Boyko1 , O.A. Bagrii-Zayats2, H.B. Tsupryk1, Y.M. Stoianov1 | 
| Affiliations | 
 1Ternopil National Technical University, 56, Ruska Str., 46001 Ternopil, Ukraine 2Ternopil State Medical University, 1, Voli Str., 46000 Ternopil, Ukraine  | 
| Е-mail | boyko.i.v.theory@gmail.com | 
| Issue | Volume 10, Year 2018, Number 6 | 
| Dates | Received 15 July 2018; revised manuscript received 07 December 2018; published online 18 December 2018 | 
| Citation | I.V. Boyko, O.A. Bagrii-Zayats, H.B. Tsupryk, Y.M. Stoianov, J. Nano- Electron. Phys. 10 No 6, 06001 (2018) | 
| DOI | https://doi.org/10.21272/jnep.10(6).06001 | 
| PACS Number(s) | 73.21.Fg, 73.21.Cd, 74.55. + v | 
| Keywords | Quantum cascade laser (3) , Quantum cascade detector, Electron-electron interaction, Cubic Schrödinger equation. | 
| Annotation | 
        	
 In the model of rectangular potential wells and barriers and the model of effective masses for an electron, using the exact solutions of the nonlinear cubic Schrödinger equation, a quantum-mechanical theory of the stationary electronic spectrum and oscillator forces of quantum transitions taking into account electron-electron interaction in the Hartree-Fock approximation was developed.The inclusion electron-electron interaction reduces the intensity of quantum transitions between the first electron states and reduces the value of detected energy, it is shown by an example of a two-well plane semiconductor nanostructure, that can function as an active zone of a quantum cascade detector.  | 
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