A Note on the Quantum-Mechanical Perturbation Theory
- 1 November 1951
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 19 (11) , 1396-1401
- https://doi.org/10.1063/1.1748067
Abstract
The solution of the quantum-mechanical eigenvalue problem is discussed for cases when a series of approximate eigenfunctions is known. If these ``unperturbed'' states are divided into two classes, a perturbation formula is derived giving the influence of one class of states on the other in the final solution. The formula contains as special cases: (i) the Schrödinger-Brillouin formula for the eigenvalue of a nondegenerate state, (ii) a new simple formula for treating a class of degenerate states, and (iii) the splitting of the secular equation in cases where the system naturally consists of two independent parts in mutual interaction.Keywords
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