Investigation of Solutions of Quasistationary States for the Quasipotential Equation

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Abstract


The excited states of quantum systems are nonstationary, and they break up. These states are called unstable or quasi-stationary. Such states are already observed in the study of scattering problems, the accumulation of particles in the lens (the particle prefers to live inside the lens) is accompanied by a large delay τ (the lifetime of the quasi-level). Here the lifetime of the quasi-level τ = γ−1, width of the quasi-level Г = ~γ and complex energy level E = E1 − iE2,E2 = Γ/2. Investigation of the quasi-stationary states is carried out for the quasi-potential equation with piecewise-constant potentials at various values of the parameter of the equation ε and the potential parameters. A comparative analysis of solutions of the quasi-potential equation for the different values of ε with the solutions of the Schredinger equation is performed. Found that at ε → 0 the solutions of quasi-potential equation tend to the solutions of the Schredinger equation.

I V Amirkhanov

Joint Institute for Nuclear Research

Email: camir@jinr.ru
Laboratory of Information Technologies

N R Sarker

Joint Institute for Nuclear Research

Email: sarker@jinr.ru
Laboratory of Information Technologies

I S Sarkhadov

Joint Institute for Nuclear Research

Email: ibrohim@jinr.ru
Laboratory of Information Technologies

Z K Tukhliev

Joint Institute for Nuclear Research

Email: zafar@jinr.ru
Laboratory of Information Technologies

Z A Sharipov

Joint Institute for Nuclear Research

Email: esshibaeva@gmail.com
Laboratory of Information Technologies

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Copyright (c) 2014 Амирханов И.В., Саркар Н.Р., Сархадов И.С., Тухлиев З.К., Шарипов З.А.

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