Lower bounds for quantum energy levels through statistical mechanics methods
- 1 April 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (4) , 834-839
- https://doi.org/10.1063/1.524463
Abstract
A perturbative variational method for the calculation of lower bounds to energy eigenvalues is given for a wide class of quantum mechanical systems. The method makes use of the quantum statistical partition function and exploits the inequalities satisfied by the generalized Padè approximants. The mathematical and physical content of our approach is illustrated through a standard model.Keywords
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