远见 发表于 2025-3-21 18:23:04

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DIKE 发表于 2025-3-21 21:02:01

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

动机 发表于 2025-3-22 02:56:17

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Esophagitis 发表于 2025-3-22 06:48:21

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 发表于 2025-3-22 11:45:18

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.

patriot 发表于 2025-3-22 14:05:47

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.

patriot 发表于 2025-3-22 19:44:08

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压倒 发表于 2025-3-23 00:13:21

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Ossification 发表于 2025-3-23 04:45:07

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.

Estrogen 发表于 2025-3-23 08:16:09

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.
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查看完整版本: Titlebook: Computational Quantum Mechanics; Joshua Izaac,Jingbo Wang Textbook 2018 Springer Nature Switzerland AG 2018 Numerical methods in quantum m