Compact equations for the envelope theory
arXiv:2108.05719 · doi:10.1007/s13538-021-01047-7
Abstract
The envelope theory is a method to easily obtain approximate, but reliable, solutions for some quantum many-body problems. Quite general Hamiltonians can be considered for systems composed of an arbitrary number of different particles in dimensions. In the case of identical particles, a compact set of 3 equations can be written to find the eigensolutions. This set provides also a nice interpretation and a starting point to improve the method. It is shown here that a similar set of 7 equations can be determined for a system containing an arbitrary number of two different particles.
arXiv commentImproved presentation. References updated. Conclusions unchanged. To appear in Braz. J. Phys
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