Optimized Perturbation Theory for Wave Functions of Quantum Systems

Details Optimized Perturbation Theory for Wave Functions of Quantum Systems Optimized Perturbation Theory for Wave Functions of Quantum Systems

1996-12-10

arxiv.org/abs/hep-th/9612097v1

Phys.Rev.Lett. 78 (1997) 3229-3232

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, RevTeX, three ps figures

Scientific paper

10.1103/PhysRevLett.78.3229

The notion of the optimized perturbation, which has been successfully applied to energy eigenvalues, is generalized to treat wave functions of quantum systems. The key ingredient is to construct an envelope of a set of perturbative wave functions. This leads to a condition similar to that obtained from the principle of minimal sensitivity. Applications of the method to quantum anharmonic oscillator and the double well potential show that uniformly valid wave functions with correct asymptotic behavior are obtained in the first-order optimized perturbation even for strong couplings.

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