Accurate and Efficient Perturbation Theory by Matrix Inversion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

A novel approach to time-independent quantum-mechanical perturbation theory is developed which has significant advantages over the traditional Rayleigh-Schroedinger method. With this new method, energies and wavefunctions corresponding to perturbations of arbitrary strength acting on either degenerate or nondegenerate systems can be efficiently recovered in a conceptually straightforward matrix-inversion scheme. Tedious summations are eliminated, and no integrals beyond those appearing in first-order perturbation theory need be computed.

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