Abstract
The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for N identical particles in D dimensions. The quality of the approximate eigenvalues can be improved by adding a free parameter in the characteristic global quantum number of the solutions. A method is proposed to determine the value of this parameter by comparing the eigenvalues computed with the envelope theory to the corresponding ones computed with a N-body generalization of the dominantly orbital state method. The accuracy of the procedure is tested with several systems.
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Semay, C. Improvement of the envelope theory with the dominantly orbital state method. Eur. Phys. J. Plus 130, 156 (2015). https://doi.org/10.1140/epjp/i2015-15156-7
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DOI: https://doi.org/10.1140/epjp/i2015-15156-7