Titlebook: Computational Quantum Mechanics; Joshua Izaac,Jingbo Wang Textbook 2018 Springer Nature Switzerland AG 2018 Numerical methods in quantum m

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书目名称Computational Quantum Mechanics影响因子(影响力)




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书目名称Computational Quantum Mechanics被引频次




书目名称Computational Quantum Mechanics被引频次学科排名




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DIKE

Undergraduate Lecture Notes in Physicshttp://image.papertrans.cn/c/image/232930.jpg

动机

Esophagitis

Higher dimensions and basic techniquesral most physical systems that we would like to solve are not one-dimensional, but instead two- or three-dimensional. Unfortunately, the shooting or matching method, which we have applied successfully to one-dimensional problems, cannot be generalised to higher dimensions.

Militia

Time propagationwcased various techniques and methods to determine the energy eigenstates. This is an extremely useful approach when bound states need to be determined and investigated, and is used to analyse atoms, molecules, and other diverse structures.

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Central potentialsour first approach when solving an unknown problem. We can avoid this bias, as we saw earlier, by using basis diagonalisation with a non-Cartesian basis set. However, there are some situations where spherical coordinates are a much better fit, and there is no better example than central potentials –– potentials that only depend on radial distance.

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压倒

Ossification

Maximum-Margin Fuzzy Classifiers,Differential equations describe a wide variety of physical phenomena, however not all systems of differential equations can be solved analytically. Thus, numeric approximations fill an important void, providing us with methods to model and analyse physical systems when analytic tools fall short.

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Maximum-Margin Multilayer Neural Networks,Over the previous 5 chapters, we have gradually built up the numerical tools we need in order to solve the Schrödinger equation in one dimension (finite-difference methods, root finding) as well as undertaking a crash course in all things Fortran and/or Python, depending on your programming language of choice.