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引用次数: 0
摘要
振荡基扩展是与时间无关的薛定谔方程的一种高效近似方法。该方法最初只包含一个非线性变分参数，现在可以扩展到包含两个非线性变分参数。它可以处理具有一般双体相互作用的非相对论和半相对论运动学。在当前的工作中，该方法以三个相同物体的系统为重点，进行了推广，以包括对特定类别的三体力的管理。事实证明，该方法的计算成本不会超过两体相互作用的计算成本。通过与拉格朗日网格法和超球面谐波展开法的结果进行比较，评估了该方法的准确性。此外，还讨论了 N 个相同物体系统以及两个相同粒子和一个不同粒子系统的扩展。
The oscillator bases expansion stands as an efficient approximation method for the time-independent Schrödinger equation. The method, originally formulated with one non-linear variational parameter, can be extended to incorporate two such parameters. It handles both non- and semi-relativistic kinematics with generic two-body interactions. In the current work, focusing on systems of three identical bodies, the method is generalised to include the management of a given class of three-body forces. The computational cost of this generalisation proves to not exceed the one for two-body interactions. The accuracy of the generalisation is assessed by comparing with results from Lagrange mesh method and hyperspherical harmonic expansions. Extensions for systems of N identical bodies and for systems of two identical particles and one distinct are also discussed.
期刊介绍：
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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