一维包络理论的检验
Tests of the Envelope Theory in One Dimension
摘要：
包络理论是一种简单的技术，可以获得近似的，但可靠的，具有相同粒子的多体系统的解决方案。在这里测试的两个系统在一维成对的力，这种方法的准确性。第一个是Calogero模型的费米子基态，线性力辅以反立方力。第二个是通过高斯势相互作用的多达100个玻色子的基态。根据模型参数的值，可以获得良好的界限。
英文摘要：
The envelope theory is a simple technique to obtain approximate, but reliable, solutions of many-body systems with identical particles. The accuracy of this method is tested here for two systems in one dimension with pairwise forces. The first one is the fermionic ground state of the analytical Calogero model with linear forces supplemented by inverse-cube forces. The second one is the ground state of up to 100 bosons interacting via a Gaussian potential. Good bounds can be obtained depending on values of the model parameters.
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