不同粒子系统包络理论的改进
Improvement of the Envelope Theory for Systems with Different Particles
摘要：
包络理论是一种计算量子$N$ -体哈密顿量近似本征解的方法，该哈密顿量在$D$维中具有相当一般的结构。该方法的优点是易于实现，并且$N$被视为哈密顿量的任何其他参数，允许计算所有大小的系统。如果解决方案是可靠的，它们通常不是非常准确。在系统的情况下，与相同的粒子$D \ge 2$，它是可能的，以提高本征值的精度相结合的包络理论与推广到$N$ -主体的占主导地位的轨道状态的方法。结果表明，在由相同的粒子加上不同的粒子组成的系统的情况下，可以实现类似的改进。用不同的系统测试了新程序的质量。
英文摘要：
The envelope theory is a method to compute approximate eigensolutions of quantum $N$-body Hamiltonians with a quite general structure in $D$ dimensions. The advantages of the method are that it is easy to implement and that $N$ is treated as any other parameters of the Hamiltonian, allowing the computation for systems of all sizes. If solutions are reliable, they are generally not very accurate. In the case of systems with identical particles for $D \ge 2$, it is possible to improve the precision of the eigenvalues by combining the envelope theory with a generalisation to $N$-body of the dominantly orbital state method. It is shown that a similar improvement can be achieved in the case of systems composed of identical particles plus a different one. The quality of the new procedure is tested with different systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
