The eigensolutions of many-body quantum systems are always difficult to compute. The envelope theory is a method to easily obtain approximate, but reliable, solutions in the case of identical particles. It is extended here to treat systems with different particles (bosons or fermions). The accuracy is tested for several systems composed of identical particles plus a different one.

中文翻译：

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不同粒子系统的包络理论

多体量子系统的本征解总是难以计算。包络理论是一种在相同粒子的情况下很容易获得近似但可靠的解决方案的方法。它在这里扩展到处理具有不同粒子（玻色子或费米子）的系统。对由相同粒子加不同粒子组成的多个系统测试精度。