4.2 Article

Physical approach to the asymptotic behavior of stationary state for the centrally field

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SN APPLIED SCIENCES
卷 1, 期 12, 页码 -

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SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s42452-019-1542-9

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Energy of stationary states; Heisenberg's uncertainty principle; The physical approach; Schrodinger equation; The ground state energy

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In this study, a simple approach describing the behaviour of the energy of the stationary state for the centrally symmetric field is proposed. The approach is based on the fundamental principle of quantum mechanics-the Heisenberg's uncertainty principle and allows estimating the energy of stationary states. The calculation accuracy increases with the increase of the orbital quantum number l. The received solutions represent the class of stationary states assuming Heisenberg equality, i.e. in the case of larger orbital quantum numbers l. The proposed approach can be also applied in solving other problems in quantum physics, as well as a teaching tool in higher education institutions.

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