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

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發(fā)表于 2025-3-21 18:23:04 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Computational Quantum Mechanics
編輯Joshua Izaac,Jingbo Wang
視頻videohttp://file.papertrans.cn/233/232930/232930.mp4
概述Teaches the basis of modern scientific programming – no prior experience required.Explains how to solve the Schrodinger equation with numerous hands-on examples.Allows you to choose between Fortran or
叢書名稱Undergraduate Lecture Notes in Physics
圖書封面Titlebook: Computational Quantum Mechanics;  Joshua Izaac,Jingbo Wang Textbook 2018 Springer Nature Switzerland AG 2018 Numerical methods in quantum m
描述.Quantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials. However, most problems in quantum mechanics cannot be solved analytically. ..?This textbook introduces the numerical techniques required to tackle problems in quantum mechanics, providing numerous examples en route. No programming knowledge is required – an introduction to both Fortran and Python is included, with code examples throughout...?With a hands-on approach, numerical techniques covered in this book include differentiation and integration, ordinary and differential equations, linear algebra, and the Fourier transform. By completion of this book, the reader will be armed to solve the Schr?dinger equation for arbitrarily complex potentials, and for single and multi-electron systems..
出版日期Textbook 2018
關鍵詞Numerical methods in quantum mechanics; Solving the Helium atom; Python for quantum mechanics; Fortran
版次1
doihttps://doi.org/10.1007/978-3-319-99930-2
isbn_ebook978-3-319-99930-2Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Undergraduate Lecture Notes in Physicshttp://image.papertrans.cn/c/image/232930.jpg
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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.
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發(fā)表于 2025-3-22 11:45:18 | 只看該作者
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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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 Schr?dinger 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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