The modern experimental abilities of the creation of complicated nanoheterosystems (quantum dots, wires and wells) allow to produce and study the closed and opened systems as well. The important peculiarity of the latter is the posibility to guide the additional chanell of quasiparticles (electrons, holes excitons) relaxation due to their penetration into the external medium. Since, it is able to create the super fast radiating devices in the needed region of the spectrum. There is observed the spectrum and wave functions of quasiparticles in the closed multifilm nanosystems where the increasing of the magnitude of the external well thickness brings to the almost opened nanosystem. Herein there arises the question at what sizes of the closed system external well and with which exactness one can assume such system as the opened one. The other principal question is how does the stationary discrete quasiparticle spectrum in closed nanosystem transform into the quasistationary one at the increasing of the external well thickness. Also it is explained the arizing of band semiwidth and quasiparticle life time in quasistationary states observed in the closed systems with very big thickness of the external well. The properties of electron spectra in the closed two well QD and three well QW are studied. Using the rectangular potential wells and the effective mass approximation there is obtained the exact solution of the Schrodinger equation with the fitting conditions of wave functions and density of currents continuuty. The electron energy spectrum and wave functions are established. The dependences of probability of electron location in both nanosystems on the thickness of the external well and both wells of plane nanosystems are calculated.

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