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- W2135996321 abstract "AbstractThe majority of approximate methods for the solution of Schrödinger equation (SE) demonstrated in Chap. 1 is not sufficiently universal and theirs applications in the case of system with many degrees of freedom are bound up with serious difficulties. In the following chapters we consider the method which is proposed as an universal procedure for transformation of the perturbation series and its further applications for various quantum systems. We call this technique operator method (OM) in the sense that all calculations are reduced to the algebraic manipulations with the operator matrix elements without solving any differential or integral equations, in zeroth-order approximation as well as in calculating the successive approximations. The results prove that the OM zeroth-order approximation provides an uniformly fitted estimation of the SE eigenvalues and eigenfunctions in the entire range of the Hamiltonian parameters.KeywordsWave FunctionMatrix ElementState VectorOperator MethodCanonical TransformationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W2135996321 created "2016-06-24" @default.
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- W2135996321 date "2014-11-09" @default.
- W2135996321 modified "2023-09-23" @default.
- W2135996321 title "Basics of the Operator Method" @default.
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- W2135996321 doi "https://doi.org/10.1007/978-3-319-13006-4_2" @default.
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