Double-Well Potential : The WKB Approximation with Phase Loss and Anharmonicity Effect

Details Double-Well Potential : The WKB Approximation with Phase Loss and Anharmonicity Effect Double-Well Potential : The WKB Approximation with Phase Loss and Anharmonicity Effect

1998-08-21

arxiv.org/abs/hep-th/9808137v1

Phys. Rev. A, 58 (1998) 3443

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, revtex, 1 figure, will appear at Phys. Rev. A

Scientific paper

10.1103/PhysRevA.58.3443

We derive a general WKB energy splitting formula in a double-well potential by incorporating both phase loss and anharmonicity effect in the usual WKB approximation. A bare application of the phase loss approach to the usual WKB method gives better results only for large separation between two potential minima. In the range of substantial tunneling, however, the phase loss approach with anharmonicity effect considered leads to a great improvement on the accuracy of the WKB approximation.

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