Perturbation Theory of Product Hamiltonians through Fourth Order
- 15 July 1971
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 55 (2), 504-510
- https://doi.org/10.1063/1.1675780
Abstract
Expressions are derived through fourth order in a representation for the eigenvalues and off‐diagonal elements of Hamiltonians expressible as sums of products of operators from two Hilbert spaces ( and ), . The zeroth order Hamiltonian is assumed separable, and the eigenvalue differences in the space are assumed to be an order of magnitude larger than the eigenvalue differences in the space. The method involves successive contact transformations chosen to yield results in terms of matrix elements in the space and operators in the space. The technique allows for the exclusion of interactions between resonant states in the space for subsequent numerical diagonalization.
Keywords
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